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Related papers: Discussion on Ohta et al., "Traveling bands in sel…

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We study collective dynamics of interacting deformable self-propelled particles whose migration velocity increases when the local density of particles is increased. Numerical simulations in two dimensions reveal that traveling bands similar…

Soft Condensed Matter · Physics 2015-06-16 Sadato Yamanaka , Takao Ohta

This paper uncovers a pitfall in the phase transition mechanism of Vicsek et al. [Phys. Rev. Lett. 75, 1226 (1995)] which occurs with fairly high probability and leads to complete breakdown of the model dynamics.

Statistical Mechanics · Physics 2007-05-23 Michael Z. Q. Chen , Hai-Tao Zhang

A variant of the well known Vicsek model of the collective motion of a group of agents has been studied where the range of interactions are spatially quenched and non-overlapping. To define such interactions, the underlying two dimensional…

Statistical Mechanics · Physics 2019-07-24 Biplab Bhattacherjee , S. S. Manna

In this comment we show that the transition to collective motion in Vicsek-like systems with angular noise remain discontinuous for large velocity values. Thus, the networks studied by Aldana {\et al.} [Phys. Rev. Lett. {\bf 98}, 095702…

Statistical Mechanics · Physics 2009-11-13 Hugues Chaté , Francesco Ginelli , Guillaume Grégoire

In this paper, we present a two-species Vicsek model, that describes alignment interactions of self-propelled particles which can either move or not. The model consists in two populations with distinct Vicsek dynamics that interact only via…

Mathematical Physics · Physics 2014-01-08 Laurent Navoret

A discussion on the contribution of Peshkov, Bertin, Ginelli and Chate, arxiv:1404.3275v1, in this special issue.

Statistical Mechanics · Physics 2015-02-24 Thomas Ihle

The reverse perturbation method [Phys. Rev. E 59, 4894 (1999)] for shearing simple liquids and measuring their viscosity is extended to the Vicsek-model (VM) of active particles [Phys. Rev. Lett. 75, 1226 (1995)] and its metric-free…

Soft Condensed Matter · Physics 2019-10-23 Arash Nikoubashman , Thomas Ihle

A ring-kinetic theory for Vicsek-style models of self-propelled agents is derived from the exact N-particle evolution equation in phase space. The theory goes beyond mean-field and does not rely on Boltzmann's approximation of molecular…

Statistical Mechanics · Physics 2015-02-24 Yen-Liang Chou , Thomas Ihle

In this paper, we study the kinetic Vicsek model, which serves as a starting point for describing the polarization phenomena observed in the experiments of fibroblasts moving on liquid crystalline substrates. The long-time behavior of the…

Analysis of PDEs · Mathematics 2025-04-18 Mengyang Gu , Siming He

We study the transport of ultra cold atoms in a tight optical lattice. For identical fermions the system is insulating under an external force while for bosonic atoms it is conducting. This reflects the different collisional properties of…

Statistical Mechanics · Physics 2009-11-10 H. Ott , E. de Mirandes , F. Ferlaino , G. Roati , G. Modugno , M. Inguscio

The effects of the propagation of particles which have a finite life-time and an according width in their mass spectrum are discussed in the context of transport descriptions. In the first part the coupling of soft photon modes to a source…

Nuclear Theory · Physics 2017-08-23 Yu. B. Ivanov , J. Knoll , H. Van Hees , D. N. Voskresensky

The experimentally observed $\Delta I = 1$ doublet bands in some odd-odd nuclei are analyzed within the orthosymplectic extension of the Interacting Vector Boson Model (IVBM). A new, purely collective interpretation of these bands is given…

Nuclear Theory · Physics 2009-12-31 H. G. Ganev , A. I. Georgieva , S. Brant , A. Ventura

We consider an Individual-Based Model for self-rotating particles interacting through local alignment and investigate its macroscopic limit. This model describes self-propelled particles moving in the plane and trying to synchronize their…

Mathematical Physics · Physics 2013-06-17 Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac

The phase diagram of self-propelled hard disk systems with Vicsek-type alignment interactions was investigated by event-driven molecular dynamics simulations. The model incorporates two competing order parameters: the polar order-disorder…

Soft Condensed Matter · Physics 2026-03-19 Nobuaki Murase , Masaharu Isobe

In Part I of this two-part series, the reverse perturbation method for shearing simple liquids [Phys. Rev. E 59, 4894 (1999)] was extended to systems of interacting particles with time-discrete stochastic dynamics. For verification, in this…

Soft Condensed Matter · Physics 2019-10-16 Arash Nikoubashman , Thomas Ihle

A system of strongly interacting fermions in a solid state is discussed. A structure of singlet and triplet coupled 2-particle states and their excitation spectra are investigated. It is shown that an account of intersite fermion…

Condensed Matter · Physics 2007-05-23 S. G. Rubin

This is the reply to the comment of Kuyucak and Stuchbery on our paper published in Phys. Rev. Lett. 79 (1997) 2006.

Nuclear Theory · Physics 2007-05-23 H. Toki , L. A. Wu

We consider the macroscopic model derived by Degond and Motsch from a time-continuous version of the Vicsek model, describing the interaction orientation in a large number of self-propelled particles. In this article, we study the influence…

Mathematical Physics · Physics 2013-01-18 Amic Frouvelle

Individual traffic significantly contributes to climate change and environmental degradation. Therefore, innovation in sustainable mobility is gaining importance as it helps to reduce environmental pollution. However, effects of new ideas…

Multiagent Systems · Computer Science 2021-11-16 Johannes Nguyen , Simon T. Powers , Neil Urquhart , Thomas Farrenkopf , Michael Guckert

A recent kinetic approach for Vicsek-like models of active particles is reviewed. The theory is based on an exact Chapman-Kolmogorov equation in phase space. It can handle discrete time dynamics and "exotic" multi-particle interactions. A…

Statistical Mechanics · Physics 2015-02-24 Thomas Ihle
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