Flat interface between amorphous ices and the role of MDA-like intermediate states in the LDA-HDA transformation
Pith reviewed 2026-06-28 16:35 UTC · model grok-4.3
The pith
MDA-like intermediate states in the LDA-HDA ice transition localize at the flat interface rather than forming a bulk phase
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The first direct characterisation of a flat LDA||HDA interface reveals an equilibrium thickness that stays constant under compression while the interface position shifts reversibly into the LDA region. This elastic response displays kinetic hysteresis on decompression. MDA-like intermediate amorphous configurations are not a distinct bulk phase but localise at the LDA-HDA interface, as mapped by the neural network classifier that uses orientational information from the hydrogen-bond network.
What carries the argument
Neural network classifier trained on SOAP descriptors that labels local molecular environments as LDA, HDA or MDA-like, applied to track the spatial distribution of structures across the flat LDA-HDA interface in molecular dynamics trajectories.
If this is right
- The interfacial layer thickness remains constant under compression.
- The interface position shifts reversibly into the LDA region under increasing pressure.
- The system exhibits kinetic hysteresis upon decompression that resembles memory effects.
- Orientational information from the hydrogen bond network is required for accurate local discrimination of the amorphous ices.
Where Pith is reading between the lines
- If MDA-like states are strictly interfacial, then medium-density amorphous ice may be re-interpreted as a boundary phenomenon rather than an independent metastable phase in this polyamorphic transition.
- The same interface-localization pattern could appear in pressure-driven transitions of other network-forming liquids.
- Larger-scale simulations or direct structural probes at the interface could test whether the constant thickness persists when the LDA and HDA domains are macroscopic.
Load-bearing premise
The neural network classifier based on SOAP descriptors reliably distinguishes LDA, HDA, and MDA-like local environments in the molecular dynamics trajectories.
What would settle it
Observation of MDA-like configurations distributed throughout the interior of LDA or HDA domains away from the interface in independent simulations would show they can exist as bulk states.
Figures
read the original abstract
The pressure-induced transformation between low-density amorphous ice (LDA) and high-density amorphous ice (HDA) is a prototypical polyamorphic transition, yet its microscopic mechanism - and in particular the nature of intermediate amorphous (IA) states - has long remained unresolved. We present the first characterisation of a flat LDA||HDA interface, determining its equilibrium thickness and showing its link to medium-density amorphous ice (MDA). Interestingly, the thickness of the interfacial layer remains constant under compression, while its position shifts reversibly into the LDA region - an elastic response that exhibits kinetic hysteresis upon decompression, reminiscent of memory effects. For high-precision discrimination of amorphous ices, we use a neural network classifier based on SOAP (Smooth Overlap of Atomic Positions) descriptors. The systematic description of the local structure emphasizes the importance of orientational information from the hydrogen bond network. Furthermore, this approach enables molecular dynamics analysis of the LDA-to-HDA transformation, directly mapping the spatial distribution of intermediate structures relative to growing HDA domains and the surrounding LDA matrix, and revealing that MDA-like IA configurations are not a distinct bulk phase but rather localise at the LDA-HDA interface.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript uses molecular dynamics simulations to characterize a flat LDA||HDA interface in amorphous ice under pressure, reporting that its thickness remains constant while its position shifts reversibly into the LDA region (with hysteresis on decompression). It employs a neural network classifier trained on SOAP descriptors to map local environments and concludes that MDA-like intermediate amorphous (IA) configurations are not a distinct bulk phase but instead localize at the LDA-HDA interface.
Significance. If the spatial mapping of local structures is reliable, the work offers a concrete microscopic picture of the LDA-HDA polyamorphic transition and the role of interface-localized intermediates, which could inform models of amorphous ices and related polyamorphic systems. The application of SOAP-based machine learning to resolve orientational features of the hydrogen-bond network in MD trajectories is a methodological strength.
major comments (1)
- [Abstract (and Methods section describing the NN classifier)] The central claim that MDA-like IA states localize at the interface (rather than constituting a bulk phase) rests entirely on the spatial distribution obtained from the SOAP-based neural network classifier. No information is given on training-set composition, cross-validation accuracy, confusion matrix, or robustness against mixed or transitional environments at an interface; without these, it is impossible to rule out that the observed localization is an artifact of how the classifier treats averaged or boundary configurations.
minor comments (1)
- [Abstract] The abstract states that the interfacial layer 'remains constant under compression' yet 'its position shifts reversibly'; a brief clarification of the precise definition of thickness versus position would aid readability.
Simulated Author's Rebuttal
We thank the referee for their constructive assessment of our work and for identifying the need for additional validation details on the neural network classifier. We address the major comment below and will revise the manuscript accordingly.
read point-by-point responses
-
Referee: [Abstract (and Methods section describing the NN classifier)] The central claim that MDA-like IA states localize at the interface (rather than constituting a bulk phase) rests entirely on the spatial distribution obtained from the SOAP-based neural network classifier. No information is given on training-set composition, cross-validation accuracy, confusion matrix, or robustness against mixed or transitional environments at an interface; without these, it is impossible to rule out that the observed localization is an artifact of how the classifier treats averaged or boundary configurations.
Authors: We agree that the manuscript does not currently provide sufficient details on the training-set composition, cross-validation accuracy, confusion matrix, or robustness tests for the SOAP-based neural network classifier. These elements are necessary to fully support the reliability of the spatial mapping and to address potential concerns about classification artifacts at interfaces. In the revised manuscript we will expand the Methods section to include: the composition and size of the training set (pure LDA, HDA and MDA configurations), cross-validation accuracy, the confusion matrix, and explicit tests on mixed or transitional environments generated at model interfaces. These additions will allow readers to assess whether the observed localization of MDA-like states is robust. We do not anticipate that providing this information will change the main conclusions. revision: yes
Circularity Check
No significant circularity; derivation relies on standard external descriptors
full rationale
The abstract and description present the central claim (MDA-like states localize at the LDA-HDA interface) as arising from MD trajectory analysis via a neural network classifier on standard SOAP descriptors. No equations, self-definitional reductions, fitted inputs renamed as predictions, or load-bearing self-citations appear. The classifier is described as using established SOAP methods without any indication that its training or outputs are constructed from the target result itself. This meets the default expectation of a self-contained analysis against external benchmarks.
Axiom & Free-Parameter Ledger
Reference graph
Works this paper leans on
-
[1]
Tanaka , author H
author author H. Tanaka , author H. Tong , author R. Shi , \ and\ author J. Russo ,\ title title Revealing key structural features hidden in liquids and glasses , \ @noop journal journal Nature Reviews Physics \ volume 1 ,\ pages 333--348 ( year 2019 ) NoStop
2019
-
[2]
Mishima , author L
author author O. Mishima , author L. Calvert , \ and\ author E. Whalley ,\ title title An apparently first-order transition between two amorphous phases of ice induced by pressure , \ @noop journal journal Nature \ volume 314 ,\ pages 76--78 ( year 1985 ) NoStop
1985
-
[3]
Gromnitskaya , author O
author author E. Gromnitskaya , author O. Stal’gorova , author V. Brazhkin , \ and\ author A. Lyapin ,\ title title Ultrasonic study of the nonequilibrium pressure-temperature diagram of h 2 o ice , \ @noop journal journal Physical Review B \ volume 64 ,\ pages 094205 ( year 2001 ) NoStop
2001
-
[4]
Brazhkin \ and\ author A
author author V. Brazhkin \ and\ author A. Lyapin ,\ title title High-pressure phase transformations in liquids and amorphous solids , \ @noop journal journal Journal of Physics: Condensed Matter \ volume 15 ,\ pages 6059 ( year 2003 ) NoStop
2003
-
[5]
Marto n \'a k , author D
author author R. Marto n \'a k , author D. Donadio , \ and\ author M. Parrinello ,\ title title Evolution of the structure of amorphous ice: From low-density amorphous through high-density amorphous to very high-density amorphous ice , \ @noop journal journal The Journal of chemical physics \ volume 122 ( year 2005 ) NoStop
2005
-
[6]
Gallo , author K
author author P. Gallo , author K. Amann-Winkel , author C. A. \ Angell , author M. A. \ Anisimov , author F. Caupin , author C. Chakravarty , author E. Lascaris , author T. Loerting , author A. Z. \ Panagiotopoulos , author J. Russo , et al. ,\ title title Water: A tale of two liquids , \ @noop journal journal Chemical reviews \ volume 116 ,\ pages 7463-...
2016
-
[7]
Tanaka ,\ title title Liquid--liquid transition and polyamorphism , \ @noop journal journal The Journal of Chemical Physics \ volume 153 ( year 2020 ) NoStop
author author H. Tanaka ,\ title title Liquid--liquid transition and polyamorphism , \ @noop journal journal The Journal of Chemical Physics \ volume 153 ( year 2020 ) NoStop
2020
-
[8]
Amann-Winkel , author K
author author K. Amann-Winkel , author K. H. \ Kim , author N. Giovambattista , author M. Ladd-Parada , author A. Sp \"a h , author F. Perakis , author H. Pathak , author C. Yang , author T. Eklund , author T. J. \ Lane , et al. ,\ title title Liquid-liquid phase separation in supercooled water from ultrafast heating of low-density amorphous ice , \ @noop...
2023
-
[9]
author author T. E. \ Gartner III , author P. M. \ Piaggi , author R. Car , author A. Z. \ Panagiotopoulos , \ and\ author P. G. \ Debenedetti ,\ title title Liquid-liquid transition in water from first principles , \ @noop journal journal Physical review letters \ volume 129 ,\ pages 255702 ( year 2022 ) NoStop
2022
-
[10]
Eltareb , author G
author author A. Eltareb , author G. E. \ Lopez , \ and\ author N. Giovambattista ,\ title title A continuum of amorphous ices between low-density and high-density amorphous ice , \ @noop journal journal Communications Chemistry \ volume 7 ,\ pages 36 ( year 2024 ) NoStop
2024
-
[11]
Dhabal , author R
author author D. Dhabal , author R. Kumar , \ and\ author V. Molinero ,\ title title Liquid--liquid transition and ice crystallization in a machine-learned coarse-grained water model , \ @noop journal journal Proceedings of the National Academy of Sciences \ volume 121 ,\ pages e2322853121 ( year 2024 ) NoStop
2024
-
[12]
author author A. V. \ Mokshin \ and\ author R. V. \ Vlasov ,\ title title Liquid--liquid crossover in water model: Local structure vs kinetics of hydrogen bonds , \ @noop journal journal The Journal of Physical Chemistry B \ volume 128 ,\ pages 2337--2346 ( year 2024 ) NoStop
2024
-
[13]
author author Q. M. \ Gallagher , author R. J. \ Szukalo , author N. Giovambattista , author P. G. \ Debenedetti , \ and\ author M. A. \ Webb ,\ title title A local structural basis to resolve amorphous ices , \ @noop journal journal arXiv preprint arXiv:2601.17488 \ ( year 2026 ) NoStop
arXiv 2026
-
[14]
author author C. W. \ Allen , author L. Rehn , \ and\ author H. Wiedersich ,\ title title Cascade-driven migration of structural interfaces: A new type of irradiation-induced phase transformation , \ @noop journal journal Applied physics letters \ volume 50 ,\ pages 1876--1878 ( year 1987 ) NoStop
1987
-
[15]
author author D. S. \ Fryer , author R. D. \ Peters , author E. J. \ Kim , author J. E. \ Tomaszewski , author J. J. \ De Pablo , author P. F. \ Nealey , author C. C. \ White , \ and\ author W.-l. \ Wu ,\ title title Dependence of the glass transition temperature of polymer films on interfacial energy and thickness , \ @noop journal journal Macromolecules...
2001
-
[16]
Napolitano , author E
author author S. Napolitano , author E. Glynos , \ and\ author N. B. \ Tito ,\ title title Glass transition of polymers in bulk, confined geometries, and near interfaces , \ @noop journal journal Reports on Progress in Physics \ volume 80 ,\ pages 036602 ( year 2017 ) NoStop
2017
-
[17]
Brandl , author T
author author C. Brandl , author T. Germann , \ and\ author A. Misra ,\ title title Structure and shear deformation of metallic crystalline--amorphous interfaces , \ @noop journal journal Acta materialia \ volume 61 ,\ pages 3600--3611 ( year 2013 ) NoStop
2013
-
[18]
Galenko \ and\ author D
author author P. Galenko \ and\ author D. Jou ,\ title title Diffuse-interface model for rapid phase transformations in nonequilibrium systems , \ @noop journal journal Physical Review E—Statistical, Nonlinear, and Soft Matter Physics \ volume 71 ,\ pages 046125 ( year 2005 ) NoStop
2005
-
[19]
Di Cicco , author A
author author A. Di Cicco , author A. Congeduti , author F. Coppari , author J. Chervin , author F. Baudelet , \ and\ author A. Polian ,\ title title Interplay between morphology and metallization in amorphous-amorphous transitions , \ @noop journal journal Physical Review B—Condensed Matter and Materials Physics \ volume 78 ,\ pages 033309 ( year 2008 ) NoStop
2008
-
[20]
Reichenbach , author G
author author T. Reichenbach , author G. Moras , author L. Pastewka , \ and\ author M. Moseler ,\ title title Solid-phase silicon homoepitaxy via shear-induced amorphization and recrystallization , \ @noop journal journal Physical review letters \ volume 127 ,\ pages 126101 ( year 2021 ) NoStop
2021
-
[21]
Moras , author A
author author G. Moras , author A. Klemenz , author T. Reichenbach , author A. Gola , author H. Uetsuka , author M. Moseler , \ and\ author L. Pastewka ,\ title title Shear melting of silicon and diamond and the disappearance of the polyamorphic transition under shear , \ @noop journal journal Physical Review Materials \ volume 2 ,\ pages 083601 ( year 20...
2018
-
[22]
Rosu-Finsen , author M
author author A. Rosu-Finsen , author M. B. \ Davies , author A. Amon , author H. Wu , author A. Sella , author A. Michaelides , \ and\ author C. G. \ Salzmann ,\ title title Medium-density amorphous ice , \ @noop journal journal Science \ volume 379 ,\ pages 474--478 ( year 2023 ) NoStop
2023
-
[23]
author author C. M. \ Tonauer , author L.-R. \ Fidler , author J. Giebelmann , author K. Yamashita , \ and\ author T. Loerting ,\ title title Nucleation and growth of crystalline ices from amorphous ices , \ @noop journal journal The Journal of Chemical Physics \ volume 158 ( year 2023 ) NoStop
2023
-
[24]
de Almeida Ribeiro , author D
author author I. de Almeida Ribeiro , author D. Dhabal , author R. Kumar , author S. Banik , author S. K. \ Sankaranarayanan , \ and\ author V. Molinero ,\ title title Medium-density amorphous ice unveils shear rate as a new dimension in water’s phase diagram , \ @noop journal journal Proceedings of the National Academy of Sciences \ volume 121 ,\ pages e...
2024
-
[25]
Faure Beaulieu , author V
author author Z. Faure Beaulieu , author V. L. \ Deringer , \ and\ author F. Martelli ,\ title title High-dimensional order parameters and neural network classifiers applied to amorphous ices , \ @noop journal journal The Journal of Chemical Physics \ volume 160 ( year 2024 ) NoStop
2024
-
[26]
author author P. G. \ Debenedetti \ and\ author F. H. \ Stillinger ,\ title title Supercooled liquids and the glass transition , \ @noop journal journal Nature \ volume 410 ,\ pages 259--267 ( year 2001 ) NoStop
2001
-
[27]
Berthier \ and\ author G
author author L. Berthier \ and\ author G. Biroli ,\ title title Theoretical perspective on the glass transition and amorphous materials , \ @noop journal journal Reviews of modern physics \ volume 83 ,\ pages 587--645 ( year 2011 ) NoStop
2011
-
[28]
author author J. R. \ Errington \ and\ author P. G. \ Debenedetti ,\ title title Relationship between structural order and the anomalies of liquid water , \ @noop journal journal Nature \ volume 409 ,\ pages 318--321 ( year 2001 ) NoStop
2001
-
[29]
\ Chau \ and\ author A
author author P.-L. \ Chau \ and\ author A. Hardwick ,\ title title A new order parameter for tetrahedral configurations , \ @noop journal journal Molecular Physics \ volume 93 ,\ pages 511--518 ( year 1998 ) NoStop
1998
-
[30]
author author P. J. \ Steinhardt , author D. R. \ Nelson , \ and\ author M. Ronchetti ,\ title title Bond-orientational order in liquids and glasses , \ @noop journal journal Physical Review B \ volume 28 ,\ pages 784 ( year 1983 ) NoStop
1983
-
[31]
\ Zeng , author C.-H
author author S.-Y. \ Zeng , author C.-H. \ Hsu , \ and\ author T.-M. \ Wu ,\ title title Bond orientational order parameters for classifying solid-like clusters in a lennard-jones system near liquid- solid transition and at solid states , \ @noop journal journal The Journal of Physical Chemistry A \ volume 126 ,\ pages 2018--2030 ( year 2022 ) NoStop
2018
-
[32]
Behler \ and\ author M
author author J. Behler \ and\ author M. Parrinello ,\ title title Generalized neural-network representation of high-dimensional potential-energy surfaces , \ @noop journal journal Physical review letters \ volume 98 ,\ pages 146401 ( year 2007 ) NoStop
2007
-
[33]
author author J. Behler ,\ title title Atom-centered symmetry functions for constructing high-dimensional neural network potentials , \ @noop journal journal The Journal of chemical physics \ volume 134 ( year 2011 ) NoStop
2011
-
[34]
author author J. Behler ,\ title title Four generations of high-dimensional neural network potentials , \ @noop journal journal Chemical Reviews \ volume 121 ,\ pages 10037--10072 ( year 2021 ) NoStop
2021
-
[35]
Gastegger , author L
author author M. Gastegger , author L. Schwiedrzik , author M. Bittermann , author F. Berzsenyi , \ and\ author P. Marquetand ,\ title title wacsf—weighted atom-centered symmetry functions as descriptors in machine learning potentials , \ @noop journal journal The Journal of chemical physics \ volume 148 ( year 2018 ) NoStop
2018
-
[36]
author author A. P. \ Bart \'o k , author R. Kondor , \ and\ author G. Cs \'a nyi ,\ title title On representing chemical environments , \ @noop journal journal Physical Review B—Condensed Matter and Materials Physics \ volume 87 ,\ pages 184115 ( year 2013 ) NoStop
2013
-
[37]
Martelli , author F
author author F. Martelli , author F. Leoni , author F. Sciortino , \ and\ author J. Russo ,\ title title Connection between liquid and non-crystalline solid phases in water , \ @noop journal journal The Journal of Chemical Physics \ volume 153 ,\ pages 104503 ( year 2020 ) NoStop
2020
-
[38]
Foffi \ and\ author F
author author R. Foffi \ and\ author F. Sciortino ,\ title title Correlated fluctuations of structural indicators close to the liquid--liquid transition in supercooled water , \ @noop journal journal The Journal of Physical Chemistry B \ volume 127 ,\ pages 378--386 ( year 2022 ) NoStop
2022
-
[39]
Schmidt , author M
author author J. Schmidt , author M. R. \ Marques , author S. Botti , \ and\ author M. A. \ Marques ,\ title title Recent advances and applications of machine learning in solid-state materials science , \ @noop journal journal npj computational materials \ volume 5 ,\ pages 83 ( year 2019 ) NoStop
2019
-
[40]
Reiser , author M
author author P. Reiser , author M. Neubert , author A. Eberhard , author L. Torresi , author C. Zhou , author C. Shao , author H. Metni , author C. van Hoesel , author H. Schopmans , author T. Sommer , et al. ,\ title title Graph neural networks for materials science and chemistry , \ @noop journal journal Communications Materials \ volume 3 ,\ pages 93 ...
2022
-
[41]
Kapsiani \ and\ author B
author author S. Kapsiani \ and\ author B. J. \ Howlin ,\ title title Random forest classification for predicting lifespan-extending chemical compounds , \ @noop journal journal Scientific reports \ volume 11 ,\ pages 13812 ( year 2021 ) NoStop
2021
-
[42]
author author K. Z. \ Takahashi , author T. Aoyagi , et al. ,\ title title Searching local order parameters to classify water structures of ice ih, ic, and liquid , \ @noop journal journal The Journal of Chemical Physics \ volume 154 ( year 2021 ) NoStop
2021
-
[43]
Doi , author K
author author H. Doi , author K. Z. \ Takahashi , author K. Tagashira , author J.-i. \ Fukuda , \ and\ author T. Aoyagi ,\ title title Machine learning-aided analysis for complex local structure of liquid crystal polymers , \ @noop journal journal Scientific reports \ volume 9 ,\ pages 16370 ( year 2019 ) NoStop
2019
-
[44]
Doi , author K
author author H. Doi , author K. Z. \ Takahashi , \ and\ author T. Aoyagi ,\ title title Searching for local order parameters to classify water structures at triple points , \ @noop journal journal Journal of Computational Chemistry \ volume 42 ,\ pages 1720--1727 ( year 2021 ) NoStop
2021
-
[45]
Boattini , author M
author author E. Boattini , author M. Dijkstra , \ and\ author L. Filion ,\ title title Unsupervised learning for local structure detection in colloidal systems , \ @noop journal journal The Journal of chemical physics \ volume 151 ( year 2019 ) NoStop
2019
-
[46]
Gallo-Bueno , author M
author author A. Gallo-Bueno , author M. Reynaud , author M. Casas-Cabanas , \ and\ author J. Carrasco ,\ title title Unsupervised machine learning to classify crystal structures according to their structural distortion: A case study on li-argyrodite solid-state electrolytes , \ @noop journal journal Energy and AI \ volume 9 ,\ pages 100159 ( year 2022 ) NoStop
2022
-
[47]
Ishiai , author K
author author S. Ishiai , author K. Endo , \ and\ author K. Yasuoka ,\ title title Graph neural networks classify molecular geometry and design novel order parameters of crystal and liquid , \ @noop journal journal The Journal of Chemical Physics \ volume 159 ( year 2023 ) NoStop
2023
-
[48]
Ishiai , author K
author author S. Ishiai , author K. Endo , author P. E. \ Brumby , author A. K. \ Sum , \ and\ author K. Yasuoka ,\ title title Novel approach for designing order parameters of clathrate hydrate structures by graph neural network , \ @noop journal journal The Journal of Chemical Physics \ volume 160 ( year 2024 ) NoStop
2024
-
[49]
author author E. D. \ Donkor , author A. Offei-Danso , author A. Rodriguez , author F. Sciortino , \ and\ author A. Hassanali ,\ title title Beyond local structures in critical supercooled water through unsupervised learning , \ @noop journal journal The Journal of Physical Chemistry Letters \ volume 15 ,\ pages 3996--4005 ( year 2024 ) NoStop
2024
-
[50]
Monserrat , author J
author author B. Monserrat , author J. G. \ Brandenburg , author E. A. \ Engel , \ and\ author B. Cheng ,\ title title Liquid water contains the building blocks of diverse ice phases , \ @noop journal journal Nature communications \ volume 11 ,\ pages 5757 ( year 2020 ) NoStop
2020
-
[51]
Geiger \ and\ author C
author author P. Geiger \ and\ author C. Dellago ,\ title title Neural networks for local structure detection in polymorphic systems , \ @noop journal journal The Journal of chemical physics \ volume 139 ( year 2013 ) NoStop
2013
-
[52]
Ramesh , author V
author author G. Ramesh , author V. Mahajan , author D. Koner , \ and\ author R. S. \ Singh ,\ title title Microscopic pathways of transition from low-density to high-density amorphous phase of water , \ @noop journal journal The Journal of Chemical Physics \ volume 160 ( year 2024 ) NoStop
2024
-
[53]
Garkul \ and\ author V
author author A. Garkul \ and\ author V. Stegailov ,\ title title Molecular dynamics analysis of elastic properties and new phase formation during amorphous ices transformations , \ @noop journal journal Scientific Reports \ volume 12 ,\ pages 13325 ( year 2022 ) NoStop
2022
-
[54]
Wong , author D
author author J. Wong , author D. A. \ Jahn , \ and\ author N. Giovambattista ,\ title title Pressure-induced transformations in glassy water: A computer simulation study using the tip4p/2005 model , \ @noop journal journal The Journal of Chemical Physics \ volume 143 ( year 2015 ) NoStop
2005
-
[55]
Abascal , author E
author author J. Abascal , author E. Sanz , author R. Garc \' a Fern \'a ndez , \ and\ author C. Vega ,\ title title A potential model for the study of ices and amorphous water: TIP4P/ice , \ @noop journal journal The Journal of chemical physics \ volume 122 ,\ pages 234511 ( year 2005 ) NoStop
2005
-
[56]
author author A. P. \ Thompson , author H. M. \ Aktulga , author R. Berger , author D. S. \ Bolintineanu , author W. M. \ Brown , author P. S. \ Crozier , author P. J. \ in 't Veld , author A. Kohlmeyer , author S. G. \ Moore , author T. D. \ Nguyen , author R. Shan , author M. J. \ Stevens , author J. Tranchida , author C. Trott , \ and\ author S. J. \ P...
2022
-
[57]
\ Ryckaert , author G
author author J.-P. \ Ryckaert , author G. Ciccotti , \ and\ author H. J. \ Berendsen ,\ title title Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes , \ @noop journal journal Journal of computational physics \ volume 23 ,\ pages 327--341 ( year 1977 ) NoStop
1977
-
[58]
author author R. W. \ Hockney \ and\ author J. W. \ Eastwood ,\ @noop title Computer simulation using particles \ ( publisher crc Press ,\ year 2021 ) NoStop
2021
-
[59]
Laakso , author L
author author J. Laakso , author L. Himanen , author H. Homm , author E. V. \ Morooka , author M. O. \ J \"a ger , author M. Todorovi \'c , \ and\ author P. Rinke ,\ title title Updates to the dscribe library: New descriptors and derivatives , \ @noop journal journal The Journal of Chemical Physics \ volume 158 ( year 2023 ) NoStop
2023
-
[60]
Himanen , author M
author author L. Himanen , author M. O. \ J \"a ger , author E. V. \ Morooka , author F. F. \ Canova , author Y. S. \ Ranawat , author D. Z. \ Gao , author P. Rinke , \ and\ author A. S. \ Foster ,\ title title Dscribe: Library of descriptors for machine learning in materials science , \ @noop journal journal Computer Physics Communications \ volume 247 ,...
2020
-
[61]
author author D. P. \ Kingma ,\ title title Adam: A method for stochastic optimization , \ @noop journal journal arXiv preprint arXiv:1412.6980 \ ( year 2014 ) NoStop
Pith/arXiv arXiv 2014
-
[62]
Ansel , author E
author author J. Ansel , author E. Yang , author H. He , author N. Gimelshein , author A. Jain , author M. Voznesensky , author B. Bao , author P. Bell , author D. Berard , author E. Burovski , et al. ,\ title title Pytorch 2: Faster machine learning through dynamic python bytecode transformation and graph compilation , \ in\ @noop booktitle Proceedings o...
2024
-
[63]
Altmann , author L
author author A. Altmann , author L. Tolo s i , author O. Sander , \ and\ author T. Lengauer ,\ title title Permutation importance: a corrected feature importance measure , \ @noop journal journal Bioinformatics \ volume 26 ,\ pages 1340--1347 ( year 2010 ) NoStop
2010
-
[64]
author author C. M. \ Tonauer , author M. Seidl-Nigsch , \ and\ author T. Loerting ,\ title title High-density amorphous ice: Nucleation of nanosized low-density amorphous ice , \ @noop journal journal J. Phys.: Condens. Matter \ volume 30 ,\ pages 034002 ( year 2017 ) NoStop
2017
-
[65]
author author J. P. \ Gabriel , author R. Horstmann , \ and\ author M. Tress ,\ title title Local and global expansivity in water , \ @noop journal journal The Journal of Chemical Physics \ volume 160 ( year 2024 ) NoStop
2024
-
[66]
Sz \'e kely , author I
author author E. Sz \'e kely , author I. K. \ Varga , \ and\ author A. Baranyai ,\ title title Tetrahedrality and hydrogen bonds in water , \ @noop journal journal The Journal of Chemical Physics \ volume 144 ( year 2016 ) NoStop
2016
-
[67]
Subbotin , author V
author author O. Subbotin , author V. Belosludov , author T. Inerbaev , author R. Belosludov , \ and\ author Y. Kawazoe ,\ title title Modelling of the structure and vibrational properties of lda, hda, and vhda amorphous ices , \ @noop journal journal Computational materials science \ volume 36 ,\ pages 253--257 ( year 2006 ) NoStop
2006
-
[68]
Tong , author K
author author J. Tong , author K. Yagi , author Y. Zheng , \ and\ author Q. Feng ,\ title title Microstructural degradation and its corresponding mechanical property of wrought superalloy gh4037 caused by very high temperature , \ @noop journal journal Journal of Alloys and Compounds \ volume 690 ,\ pages 542--552 ( year 2017 ) NoStop
2017
-
[69]
author author J. M. \ Montes de Oca , author F. Sciortino , \ and\ author G. A. \ Appignanesi ,\ title title A structural indicator for water built upon potential energy considerations , \ @noop journal journal The Journal of Chemical Physics \ volume 152 ,\ pages 244503 ( year 2020 ) NoStop
2020
-
[70]
author author R. J. \ Szukalo , author N. Giovambattista , \ and\ author P. G. \ Debenedetti ,\ title title Computational investigation of water glasses using machine-learning potentials , \ @noop journal journal Proceedings of the National Academy of Sciences \ volume 122 ,\ pages e2509609122 ( year 2025 ) NoStop
2025
-
[71]
Dhabal \ and\ author V
author author D. Dhabal \ and\ author V. Molinero ,\ title title Kinetics and mechanisms of pressure-induced ice amorphization and polyamorphic transitions in a machine-learned coarse-grained water model , \ @noop journal journal The Journal of Physical Chemistry B \ volume 127 ,\ pages 2847--2862 ( year 2023 ) NoStop
2023
-
[72]
author author K. Z. \ Takahashi , author T. Aoyagi , \ and\ author J.-i. \ Fukuda ,\ title title Multistep nucleation of anisotropic molecules , \ @noop journal journal Nature communications \ volume 12 ,\ pages 5278 ( year 2021 ) NoStop
2021
-
[73]
Brazhkin , author A
author author V. Brazhkin , author A. Lyapin , \ and\ author K. Trachenko ,\ title title Atomistic modeling of multiple amorphous-amorphous transitions in sio 2 and geo 2 glasses at megabar pressures , \ @noop journal journal Physical Review B—Condensed Matter and Materials Physics \ volume 83 ,\ pages 132103 ( year 2011 ) NoStop
2011
-
[74]
Durandurdu \ and\ author D
author author M. Durandurdu \ and\ author D. Drabold ,\ title title First-order pressure-induced polyamorphism in germanium , \ @noop journal journal Physical Review B \ volume 66 ,\ pages 041201 ( year 2002 ) NoStop
2002
-
[75]
Ganesh \ and\ author M
author author P. Ganesh \ and\ author M. Widom ,\ title title Liquid-liquid transition in supercooled silicon determined by first-principles simulation , \ @noop journal journal Physical review letters \ volume 102 ,\ pages 075701 ( year 2009 ) NoStop
2009
-
[76]
Adrian , author J
author author M. Adrian , author J. Dubochet , author J. Lepault , \ and\ author A. W. \ McDowall ,\ title title Cryo-electron microscopy of viruses , \ @noop journal journal Nature \ volume 308 ,\ pages 32--36 ( year 1984 ) NoStop
1984
-
[77]
Lyu , author L
author author Z. Lyu , author L. Yao , author W. Chen , author F. C. \ Kalutantirige , \ and\ author Q. Chen ,\ title title Electron microscopy studies of soft nanomaterials , \ @noop journal journal Chemical reviews \ volume 123 ,\ pages 4051--4145 ( year 2023 ) NoStop
2023
-
[78]
author author D. Lyumkis ,\ title title Challenges and opportunities in cryo-em single-particle analysis , \ @noop journal journal Journal of Biological Chemistry \ volume 294 ,\ pages 5181--5197 ( year 2019 ) NoStop
2019
-
[79]
author author Z. P. \ Nagy , author D. Shapiro , \ and\ author C.-C. \ Chang ,\ title title Vitrification of the human embryo: a more efficient and safer in vitro fertilization treatment , \ @noop journal journal Fertility and sterility \ volume 113 ,\ pages 241--247 ( year 2020 ) NoStop
2020
-
[80]
Rienzi , author C
author author L. Rienzi , author C. Gracia , author R. Maggiulli , author A. R. \ LaBarbera , author D. J. \ Kaser , author F. M. \ Ubaldi , author S. Vanderpoel , \ and\ author C. Racowsky ,\ title title Oocyte, embryo and blastocyst cryopreservation in art: systematic review and meta-analysis comparing slow-freezing versus vitrification to produce evide...
2017
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