RECORD
Testing statics-dynamics equivalence at the spin-glass transition in three dimensions
Disordered Systems and Neural Networks · Submitted 15 Dec 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thanks to the large coherence lengths we reach, we are able to obtain accurate results in excellent agreement with the best available equilibrium computations.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
The statics-dynamics correspondence in spin glasses relate non-equilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). Here we employ statics-dynamics equivalence to study the Ising spin-glass critical behavior in three dimensions. By means of Monte Carlo simulation, we follow the growth of the coherence length (the size of the glassy domains), on lattices too large to be thermalized. Thanks to the large coherence lengths we reach, we are able to obtain accurate results in excellent agreement with the best available equilibrium computations. To do so, we need to clarify the several physical meanings of the dynamic exponent close to the critical temperature.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The statics-dynamics correspondence in spin glasses relate non-equilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). | background 1.00 | 0.04 | 0.04 | asserted 1.00 |
| s1 | Here we employ statics-dynamics equivalence to study the Ising spin-glass critical behavior in three dimensions. | contribution 0.98 | 0.89 | 0.08 | asserted 0.95 |
| s2 | By means of Monte Carlo simulation, we follow the growth of the coherence length (the size of the glassy domains), on lattices too large to be thermalized. | method 0.98 | 0.96 | 0.05 | asserted 0.99 |
| s3 | Thanks to the large coherence lengths we reach, we are able to obtain accurate results in excellent agreement with the best available equilibrium computations. | result 0.99 | 0.91 | 0.59 | asserted 1.00 |
| s4 | To do so, we need to clarify the several physical meanings of the dynamic exponent close to the critical temperature. | method 0.33 | 0.40 | 0.04 | asserted 0.89 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The statics-dynamics correspondence in spin glasses relate non-equilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). Here we employ statics-dynamics equivalence to study the Ising spin-glass critical behavior in three dimensions. By means of Monte Carlo simulation, we follow the growth of the coherence length (the size of the glassy domains), on lattices too large to be thermalized. Thanks to the large coherence lengths we reach, we are able to obtain accurate results in excellent agreement with the best available equilibrium computations. To do so, we need to clarify the several physical meanings of the dynamic exponent close to the critical temperature.
Human review
How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 22 sentences without a confident label
Uses the method or tool of 3 papers
-
Ref. [ref] offers a creative alternative: In their Parallel Tempering simulation each bit represent an independent system copy (all of them evolve under the same couplings, but at different temperatures [ref] ).
Parallel Tempering Simulation of the three-dimensional Edwards-Anderson Model with Compact Asynchronous Multispin Coding on GPU · Synchronous Multispin coding · 0.82
-
Ref. [ref] offers a creative alternative: In their Parallel Tempering simulation each bit represent an independent system copy (all of them evolve under the same couplings, but at different temperatures [ref] ).
Three Dimensional Edwards-Anderson Spin Glass Model in an External Field · Synchronous Multispin coding · 0.82
-
Ref. [ref] offers a creative alternative: In their Parallel Tempering simulation each bit represent an independent system copy (all of them evolve under the same couplings, but at different temperatures [ref] ).
Exchange Monte Carlo Method and Application to Spin Glass Simulations · Synchronous Multispin coding · 0.82
Cites as background 2 papers
-
The glass transition, the dramatic dynamic slowdown experienced by spin-glasses, fragile molecular glasses, polymers, colloids, etc., upon approaching their glass temperature $T_g$, has long puzzled scientists [ref] The phenomenon has been long suspected to be caused by the growth of a characteristic length [ref] , an issue under current investigation [ref] .
Supercooled Liquids for Pedestrians · Introduction · 0.98
-
The glass transition, the dramatic dynamic slowdown experienced by spin-glasses, fragile molecular glasses, polymers, colloids, etc., upon approaching their glass temperature $T_g$, has long puzzled scientists [ref] The phenomenon has been long suspected to be caused by the growth of a characteristic length [ref] , an issue under current investigation [ref] .
The Static Lengthscale Characterizing the Glass Transition at Lower Temperatures · Introduction · 0.98
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.