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Directed d-mer diffusion describing Kardar-Parisi-Zhang type of surface growth

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Geza Odor, Bartosz Liedke, Karl-Heinz Heinig

Statistical Mechanics · Submitted 19 Jul 2009

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

The authors' main claim We provide evidence for the agreement with field theoretical predictions of the Kardar-Parisi-Zhang universality class and numerical results.

how it is stated · asserted 0.83 read the record →

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arXiv ID0907.3297 (version 2)
Pith ID6GGLPXTL, Pith's permanent record of this paper and its review
CitationBartosz Liedke, Geza Odor, Karl-Heinz Heinig. "Directed d-mer diffusion describing Kardar-Parisi-Zhang type of surface growth." arXiv:0907.3297 (2009). https://pith.science/paper/6GGLPXTL
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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, 4,951 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.91 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.30 · compares with prior results 0.94 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We show that d+1-dimensional surface growth models can be mapped onto driven lattice gases of d-mers. The continuous surface growth corresponds to one dimensional drift of d-mers perpendicular to the (d-1)-dimensional "plane" spanned by the d-mers. This facilitates efficient, bit-coded algorithms with generalized Kawasaki dynamics of spins. Our simulations in d=2,3,4,5 dimensions provide scaling exponent estimates on much larger system sizes and simulations times published so far, where the effective growth exponent exhibits an increase. We provide evidence for the agreement with field theoretical predictions of the Kardar-Parisi-Zhang universality class and numerical results. We show that the (2+1)-dimensional exponents conciliate with the values suggested by Lassig within error margin, for the largest system sizes studied here, but we can't support his predictions for (3+1)d numerically.

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 show that d+1-dimensional surface growth models can be mapped onto driven lattice gases of d-mers. contribution 0.86 0.92 0.61 asserted 1.00
s1 The continuous surface growth corresponds to one dimensional drift of d-mers perpendicular to the (d-1)-dimensional "plane" spanned by the d-mers. method 0.40 0.55 0.18 asserted 1.00
s2 This facilitates efficient, bit-coded algorithms with generalized Kawasaki dynamics of spins. method 0.95 0.57 0.06 asserted 0.95
s3 Our simulations in d=2,3,4,5 dimensions provide scaling exponent estimates on much larger system sizes and simulations times published so far, where the effective growth exponent exhibits an increase. result 0.85 0.96 0.22 asserted 0.98
s4 We provide evidence for the agreement with field theoretical predictions of the Kardar-Parisi-Zhang universality class and numerical results. result 0.69 0.83 0.28 asserted 0.83
s5 We show that the (2+1)-dimensional exponents conciliate with the values suggested by Lassig within error margin, for the largest system sizes studied here, but we can't support his predictions for (3+1)d numerically. result 0.88 0.94 0.19 asserted 0.61

What kind of paper the classifier reports this is: simulation study 0.96 · evidence from simulation or computation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
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

We show that d+1-dimensional surface growth models can be mapped onto driven lattice gases of d-mers. The continuous surface growth corresponds to one dimensional drift of d-mers perpendicular to the (d-1)-dimensional "plane" spanned by the d-mers. This facilitates efficient, bit-coded algorithms with generalized Kawasaki dynamics of spins. Our simulations in d=2,3,4,5 dimensions provide scaling exponent estimates on much larger system sizes and simulations times published so far, where the effective growth exponent exhibits an increase. We provide evidence for the agreement with field theoretical predictions of the Kardar-Parisi-Zhang universality class and numerical results. We show that the (2+1)-dimensional exponents conciliate with the values suggested by Lassig within error margin, for the largest system sizes studied here, but we can't support his predictions for (3+1)d numerically.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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