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Stability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints

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V.I. Ratushnaya, D. Bedeaux, V.L. Kulinskii, A.V. Zvelindovsky

Fluid Dynamics · Submitted 22 Nov 2006

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

The authors' main claim We show, using a linear stability analysis, that the linear solutions are neutrally stable with respect to the imposed velocity and density perturbations.

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arXiv IDphysics/0611210 (version 1)
Pith IDT6APE6UD, Pith's permanent record of this paper and its review
CitationA.V. Zvelindovsky, D. Bedeaux, V.I. Ratushnaya, V.L. Kulinskii. "Stability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints." arXiv:physics/0611210 (2006). https://pith.science/paper/T6APE6UD
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,215 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.91 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.33 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In our previous papers we proposed a continuum model for the dynamics of the systems of self-propelling particles with conservative kinematic constraints on the velocities. We have determined a class of stationary solutions of this hydrodynamic model and have shown that two types of stationary flow, linear and radially symmetric (vortical) flow, are possible. In this paper we consider the stability properties of these stationary flows. We show, using a linear stability analysis, that the linear solutions are neutrally stable with respect to the imposed velocity and density perturbations. A similar analysis of the stability of the vortical solution is found to be not conclusive.

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 In our previous papers we proposed a continuum model for the dynamics of the systems of self-propelling particles with conservative kinematic constraints on the velocities. background 1.00 0.41 0.02 asserted 1.00
s1 We have determined a class of stationary solutions of this hydrodynamic model and have shown that two types of stationary flow, linear and radially symmetric (vortical) flow, are possible. background 0.58 0.64 0.06 asserted 0.93
s2 In this paper we consider the stability properties of these stationary flows. contribution 0.94 0.55 0.04 asserted 0.62
s3 We show, using a linear stability analysis, that the linear solutions are neutrally stable with respect to the imposed velocity and density perturbations. result 1.00 0.95 0.42 asserted 1.00
s4 A similar analysis of the stability of the vortical solution is found to be not conclusive. result 0.76 0.94 0.11 asserted 0.93

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

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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

In our previous papers we proposed a continuum model for the dynamics of the systems of self-propelling particles with conservative kinematic constraints on the velocities. We have determined a class of stationary solutions of this hydrodynamic model and have shown that two types of stationary flow, linear and radially symmetric (vortical) flow, are possible. In this paper we consider the stability properties of these stationary flows. We show, using a linear stability analysis, that the linear solutions are neutrally stable with respect to the imposed velocity and density perturbations. A similar analysis of the stability of the vortical solution is found to be not conclusive.

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