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Properties of pattern formation and selection processes in nonequilibrium systems with external fluctuations

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D.Kharchenko, V.Kharchenko, I.Lysenko

Statistical Mechanics · Submitted 26 Mar 2010

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

The authors' main claim It was shown that at short time scales the system manifests pattern selection processes.

how it is stated · asserted 1.00 read the record →

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arXiv ID1003.5110 (version 1)
Pith IDWUFXAWNJ, Pith's permanent record of this paper and its review
CitationD.Kharchenko, I.Lysenko, V.Kharchenko. "Properties of pattern formation and selection processes in nonequilibrium systems with external fluctuations." arXiv:1003.5110 (2010). https://pith.science/paper/WUFXAWNJ
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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, 3,448 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. It was shown that at short time scales the system manifests pattern selection processes. These processes are studied by means of the structure function dynamics analysis. Nonequilibrium pattern-forming transitions are analyzed by means of numerical simulations.

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 extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. contribution 0.94 0.91 0.08 asserted 0.99
s1 It was shown that at short time scales the system manifests pattern selection processes. result 0.98 0.40 0.25 asserted 1.00
s2 These processes are studied by means of the structure function dynamics analysis. method 0.99 0.67 0.06 asserted 0.94
s3 Nonequilibrium pattern-forming transitions are analyzed by means of numerical simulations. method 0.80 0.78 0.09 asserted 0.94

What kind of paper the classifier reports this is: method or tool 0.54 · evidence from simulation or computation 1.00.

What was examined, and what was not

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  • arXiv listing abstract v1
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 extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. It was shown that at short time scales the system manifests pattern selection processes. These processes are studied by means of the structure function dynamics analysis. Nonequilibrium pattern-forming transitions are analyzed by means of numerical simulations.

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