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Quantum approach to nucleation times of kinetic Ising ferromagnets

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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M. D. Grynberg, R. B. Stinchcombe

Statistical Mechanics · Submitted 14 Jan 2005

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

The authors' main claim It is argued that the relaxation times already provide a measure of actual nucleation lifetimes under finite fields.

how it is stated · asserted 0.47 read the record →

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arXiv IDcond-mat/0501351 (version 1)
Pith ID6MO45GMQ, Pith's permanent record of this paper and its review
CitationM. D. Grynberg, R. B. Stinchcombe. "Quantum approach to nucleation times of kinetic Ising ferromagnets." arXiv:cond-mat/0501351 (2005). https://pith.science/paper/6MO45GMQ
Claim paper

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, 6,113 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.47 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Low temperature dynamics of Ising ferromagnets under finite magnetic fields are studied in terms of quantum spin representations of stochastic evolution operators. These are constructed for the Glauber dynamic as well as for a modification of this latter, introduced by K. Park {\it et al.} in Phys. Rev. Lett. {\bf 92}, 015701 (2004). In both cases the relaxation time after a field quench is evaluated both numerically and analytically using the spectrum gap of the corresponding operators. The numerical work employs standard recursive techniques following a symmetrization of the evolution operator accomplished by a non-unitary spin rotation. The analytical approach uses low temperature limits to identify dominant terms in the eigenvalue problem. It is argued that the relaxation times already provide a measure of actual nucleation lifetimes under finite fields. The approach is applied to square, triangular and honeycomb lattices.

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 Low temperature dynamics of Ising ferromagnets under finite magnetic fields are studied in terms of quantum spin representations of stochastic evolution operators. contribution 0.85 0.81 0.05 asserted 0.99
s1 These are constructed for the Glauber dynamic as well as for a modification of this latter, introduced by K. method 0.86 0.71 0.03 asserted 0.97
s2 Park {\it et al.} in Phys. Rev. Lett. {\bf 92}, 015701 (2004). background 0.90 0.05 0.02 unclear 0.77
s3 In both cases the relaxation time after a field quench is evaluated both numerically and analytically using the spectrum gap of the corresponding operators. method 0.88 0.91 0.09 asserted 1.00
s4 The numerical work employs standard recursive techniques following a symmetrization of the evolution operator accomplished by a non-unitary spin rotation. method 1.00 0.83 0.02 asserted 1.00
s5 The analytical approach uses low temperature limits to identify dominant terms in the eigenvalue problem. method 1.00 0.86 0.04 asserted 0.99
s6 It is argued that the relaxation times already provide a measure of actual nucleation lifetimes under finite fields. interpretation 1.00 0.72 0.69 asserted 0.47
s7 The approach is applied to square, triangular and honeycomb lattices. contribution 0.81 0.87 0.05 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.81 · evidence from simulation or computation 0.84.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • 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

Low temperature dynamics of Ising ferromagnets under finite magnetic fields are studied in terms of quantum spin representations of stochastic evolution operators. These are constructed for the Glauber dynamic as well as for a modification of this latter, introduced by K. Park {\it et al.} in Phys. Rev. Lett. {\bf 92}, 015701 (2004). In both cases the relaxation time after a field quench is evaluated both numerically and analytically using the spectrum gap of the corresponding operators. The numerical work employs standard recursive techniques following a symmetrization of the evolution operator accomplished by a non-unitary spin rotation. The analytical approach uses low temperature limits to identify dominant terms in the eigenvalue problem. It is argued that the relaxation times already provide a measure of actual nucleation lifetimes under finite fields. The approach is applied to square, triangular and honeycomb lattices.

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