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相关论文: Consequence of anisotropy on flocking: the discret…

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We study a stochastic model of collective motion in which individuals update their orientation through pairwise aligning or anti-aligning copying interactions. We analyze both annealed dynamics, where interaction types are chosen…

统计力学 · 物理学 2026-04-23 Chunming Zheng

We study the nonlinear, semiclassical dynamics of an open spin-1 (three-level) variant of the traditional Dicke model. In particular, we focus on V-type energy-level configurations with varying degrees of energy-level asymmetry. We also…

量子物理 · 物理学 2025-03-14 Ofri Adiv , Bernd Krauskopf , Scott Parkins

Recent studies of active colloidal matter have revealed that a global polar order can arise from chemorepulsive interactions among particles without any explicit alignment interaction between them. In this work, we investigate such…

软凝聚态物质 · 物理学 2026-05-05 Sagarika Adhikary , Rajesh Singh

Microscopic particles suspended in liquids are the prime example of an overdamped system because viscous forces dominate over inertial effects. Apart from their use as model systems, they receive considerable attention as sensitive probes…

软凝聚态物质 · 物理学 2020-02-10 Johannes Berner , Boris Müller , Juan Ruben Gomez-Solano , Matthias Krüger , Clemens Bechinger

We propose an extension to the ISM of flocking and swarming. The model has been introduced to explain certain dynamic features of swarming (second sound, a lower than expected dynamic critical exponent) while preserving the mechanism for…

Phase transitions in non-equilibrium steady states of O(n)-symmetric models with reversible mode couplings are studied using dynamic field theory and the renormalization group. The systems are driven out of equilibrium by dynamical…

统计力学 · 物理学 2011-12-24 Uwe C. Täuber , Jaime E. Santos , Zoltán Rácz

There is growing interest in multi-species active matter systems with reciprocal and non-reciprocal interactions. While such interactions have been explored in continuous symmetry models, less is known about multi-species discrete-symmetry…

统计力学 · 物理学 2025-05-01 Matthieu Mangeat , Swarnajit Chatterjee , Jae Dong Noh , Heiko Rieger

We study the flocking model introduced by Vicsek in the "coarsening" regime. At standard self-propulsion speeds, we find two distinct growth laws for the coupled density and velocity fields. The characteristic length scale of the density…

软凝聚态物质 · 物理学 2020-02-10 Nisha Katyal , Supravat Dey , Dibyendu Das , Sanjay Puri

We use the method of the microscopic phase density to get the kinetic equation for the system of self-propelled particles with Vicsek-like alignment rule. The hydrodynamic equations are derived for the ordered phase taking into account the…

统计力学 · 物理学 2018-12-24 Oleksandr Chepizhko , Vladimir Kulinskii

We study a model of flocking in order to describe the transitions during the collective motion of organisms in three dimensions (e.g., birds). In this model the particles representing the organisms are self-propelled, i.e., they move with…

生物物理 · 物理学 2015-06-26 A. Czirok , M. Vicsek , T. Vicsek

We propose and analyze a class of vectorial crystallization problems, with applications to crystallization of anisotropic molecules and collective behavior such as birds flocking and fish schooling. We focus on two-dimensional systems of…

数学物理 · 物理学 2021-02-26 Lucia De Luca , Angelo Ninno , Marcello Ponsiglione

We consider systems of interacting particles which are described by a second order Langevin equation. The class of equations considered includes the situation where the particle evolution is governed by Hamiltonian dynamics with additional…

偏微分方程分析 · 数学 2025-07-29 Fenna Müller , Max von Renesse , Johannes Zimmer

We have carried out a Monte Carlo simulation of a modified version of Vicsek model for the motion of self-propelled particles in two dimensions. In this model the neighborhood of interaction of a particle is a sector of the circle with the…

统计力学 · 物理学 2016-05-24 Mihir Durve , Ahmed Sayeed

Collective dynamics in proliferating anisotropic particle systems arise from an interplay between growth, division, and mechanical interactions, often mediated by particle shape. In classical models of prolate, rod-like growth, flow-induced…

软凝聚态物质 · 物理学 2025-12-02 Jonas Isensee , Lukas Hupe , Philip Bittihn

We study a class of interacting particle systems on $\mathbb{R}$ with two types. Particles evolve by independent jumps sampled from a fixed distribution, with type-dependent jump rates $v_+$, $v_-$ and stochastic type switching driven by…

概率论 · 数学 2026-05-14 Sayan Banerjee , Andrew Nguyen

On the basis of the antisymmetrized molecular dynamics (AMD) of wave packets for the quantum system, a novel model (called AMD-V) is constructed by the stochastic incorporation of the diffusion and the deformation of wave packets which is…

核理论 · 物理学 2008-11-26 Akira Ono , Hisashi Horiuchi

We study the collective motion of self-propelled particles affected by the spatial-dependent noise based on the Vicsek rules. Only the particles inside the special region will affected by noise. The consideration of the spatial-dependent…

统计力学 · 物理学 2023-08-16 Jia-xin Qian , Yan-qing Lu

We introduce a minimal model for a collection of self-propelled apolar active particles, also called as `active nematic', on a two-dimensional substrate and study the order-disorder transition with the variation of density. The particles…

统计力学 · 物理学 2015-09-18 Rakesh Das , Manoranjan Kumar , Shradha Mishra

We propose a simple microscopic model of molecular dynamics simulation to study orientational glass in three dimensions. We present simulation results for mixtures of mildly anisotropic particles and spherical impurities. We realize fcc…

软凝聚态物质 · 物理学 2012-10-29 Kyohei Takae , Akira Onuki

The evolution of finitely many particles obeying Langevin dynamics is described by Dean-Kawasaki equations, a class of stochastic equations featuring a non-Lipschitz multiplicative noise in divergence form. We derive a regularised…

概率论 · 数学 2019-09-10 Federico Cornalba , Tony Shardlow , Johannes Zimmer