Pith. Sign in

RECORD

Structural Evolution of Granular Systems: Theory

Soft Condensed Matter · Submitted 13 Apr 2019

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

The authors' main claim We find that all the steady states are stable and that they satisfy detailed balance-like condition when the CO$\,\leq 6$.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID1904.06549 (version 2)
Pith ID35KZ5CUP, Pith's permanent record of this paper and its review
CitationClara C. Wanjura, Paula Gago, Raphael Blumenfeld, Takashi Matsushima. "Structural Evolution of Granular Systems: Theory." arXiv:1904.06549 (2019). https://pith.science/paper/35KZ5CUP
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.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,780 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.52 · compares with prior results 0.42 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

A general theory is developed for the evolution of the cell order (CO) distribution in planar granular systems. Dynamic equations are constructed and solved in closed form for several examples: systems under compression; dilation of very dense systems; and the general approach to steady state. We find that all the steady states are stable and that they satisfy detailed balance-like condition when the CO$\,\leq 6$. Illustrative numerical solutions of the evolution are shown. Our theoretical results are validated against an extensive simulation of a sheared system. The formalism can be readily extended to other structural characteristics, paving the way to a general theory of structural organisation of granular 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 A general theory is developed for the evolution of the cell order (CO) distribution in planar granular systems. contribution 1.00 0.94 0.07 asserted 1.00
s1 Dynamic equations are constructed and solved in closed form for several examples: systems under compression; dilation of very dense systems; and the general approach to steady state. method 0.85 0.95 0.06 asserted 1.00
s2 We find that all the steady states are stable and that they satisfy detailed balance-like condition when the CO$\,\leq 6$. result 1.00 0.95 0.43 asserted 1.00
s3 Illustrative numerical solutions of the evolution are shown. contribution 0.41 0.91 0.03 asserted 0.98
s4 Our theoretical results are validated against an extensive simulation of a sheared system. method 0.46 0.93 0.11 asserted 1.00
s5 The formalism can be readily extended to other structural characteristics, paving the way to a general theory of structural organisation of granular systems. future work 0.89 0.40 0.17 asserted 0.66

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

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

A general theory is developed for the evolution of the cell order (CO) distribution in planar granular systems. Dynamic equations are constructed and solved in closed form for several examples: systems under compression; dilation of very dense systems; and the general approach to steady state. We find that all the steady states are stable and that they satisfy detailed balance-like condition when the CO$\,\leq 6$. Illustrative numerical solutions of the evolution are shown. Our theoretical results are validated against an extensive simulation of a sheared system. The formalism can be readily extended to other structural characteristics, paving the way to a general theory of structural organisation of granular systems.

Human review
How the literature uses it

What this paper does with the arXiv papers it cites

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

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.