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Out-of-equilibrium one-dimensional disordered dipole chain

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Anton V. Dolgikh, Daniel S. Kosov

Statistical Mechanics · Submitted 18 Apr 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that the disorder leads to Anderson-like transition from conducting to a thermal insulating state of the chain.

how it is stated · asserted 1.00 read the record →

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arXiv ID1304.5060 (version 3)
Pith IDSRPHCBBS, Pith's permanent record of this paper and its review
CitationAnton V. Dolgikh, Daniel S. Kosov. "Out-of-equilibrium one-dimensional disordered dipole chain." arXiv:1304.5060 (2013). https://pith.science/paper/SRPHCBBS
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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,515 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.04 · states quantitative result 0.05 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We consider a chain of one-dimensional dipole moments connected to two thermal baths with different temperatures. The system is in nonequilibrium steady state and heat flows through it. Assuming that fluctuation of the dipole moment is a small parameter, we develop an analytically solvable model for the problem. The effect of disorder is introduced by randomizing the positions of the dipole moments. We show that the disorder leads to Anderson-like transition from conducting to a thermal insulating state of the chain. It is shown that considered chain supports both ballistic and diffusive heat transports depending on the strength of the disorder. We demonstrate that nonequilibrium leads to the emergence of the long-range order between dipoles along the chain and make the conjecture that the interplay between nonequilibrium and next-to-nearest-neighbor interactions results in the emergence of long-range correlations in low-dimensional classical systems.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We consider a chain of one-dimensional dipole moments connected to two thermal baths with different temperatures. background 0.52 0.44 0.02 asserted 0.91
s1 The system is in nonequilibrium steady state and heat flows through it. background 0.87 0.37 0.04 asserted 1.00
s2 Assuming that fluctuation of the dipole moment is a small parameter, we develop an analytically solvable model for the problem. method 0.96 0.94 0.03 asserted 1.00
s3 The effect of disorder is introduced by randomizing the positions of the dipole moments. method 0.97 0.79 0.03 asserted 0.98
s4 We show that the disorder leads to Anderson-like transition from conducting to a thermal insulating state of the chain. result 1.00 0.92 0.48 asserted 1.00
s5 It is shown that considered chain supports both ballistic and diffusive heat transports depending on the strength of the disorder. result 1.00 0.89 0.23 asserted 1.00
s6 We demonstrate that nonequilibrium leads to the emergence of the long-range order between dipoles along the chain and make the conjecture that the interplay between nonequilibrium and next-to-nearest-neighbor interactions results in the emergence of long-range correlations in low-dimensional classical systems. interpretation 0.56 0.88 0.49 speculative 0.49

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v3
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We consider a chain of one-dimensional dipole moments connected to two thermal baths with different temperatures. The system is in nonequilibrium steady state and heat flows through it. Assuming that fluctuation of the dipole moment is a small parameter, we develop an analytically solvable model for the problem. The effect of disorder is introduced by randomizing the positions of the dipole moments. We show that the disorder leads to Anderson-like transition from conducting to a thermal insulating state of the chain. It is shown that considered chain supports both ballistic and diffusive heat transports depending on the strength of the disorder. We demonstrate that nonequilibrium leads to the emergence of the long-range order between dipoles along the chain and make the conjecture that the interplay between nonequilibrium and next-to-nearest-neighbor interactions results in the emergence of long-range correlations in low-dimensional classical systems.

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