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We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles.In both cases, the two-point correlation functions allow to detect the…

统计力学 · 物理学 2011-11-29 T. Bodineau , B. Derrida , V. Lecomte , F. van Wijland

We introduce and analyse a continuum model for an interacting particle system of Vicsek type. The model is given by a non-linear kinetic partial differential equation (PDE) describing the time-evolution of the density $f_t$, in the single…

数学物理 · 物理学 2022-04-11 Paolo Buttà , Franco Flandoli , Michela Ottobre , Boguslaw Zegarlinski

Isolated long-range interacting particle systems appear generically to relax to non-equilibrium states ("quasi-stationary states" or QSS) which are stationary in the thermodynamic limit. A fundamental open question concerns the "robustness"…

统计力学 · 物理学 2016-05-25 Michael Joyce , Jules Morand , Pascal Viot

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

统计力学 · 物理学 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

We study the spontaneous motion, binary collisions, and collective dynamics of "polar disks", i.e. purpose-built particles which, when vibrated between two horizontal plates, move coherently along a direction strongly correlated to their…

软凝聚态物质 · 物理学 2016-01-19 Julien Deseigne , Sébastien Léonard , Olivier Dauchot , Hugues Chaté

The evolution of a charged lepton in the field of an electromagnetic plane wave can be described as a superposition of Volkov states. Here we demonstrate that imposing specific momentum correlations among Volkov states produces a…

量子物理 · 物理学 2026-04-14 D. Ramsey , J. McKeown , J. P. Palastro

Ordering dynamics of self-propelled particles in an inhomogeneous medium in two-dimensions is studied. We write coarse-grained hydrodynamic equations of motion for coarse-grained density and velocity fields in the presence of an external…

统计力学 · 物理学 2018-05-09 Rakesh Das , Shradha Mishra , Sanjay Puri

We investigate the collective dynamics of self-propelled droplets, confined in a one dimensional micro-fluidic channel. On one hand, neighboring droplets align and form large trains of droplets moving in the same direction. On the other…

软凝聚态物质 · 物理学 2020-05-14 Pierre Illien , Charlotte de Blois , Yang Liu , Marjolein N. van der Linden , Olivier Dauchot

We study a two-dimensional granular system where external driving force is applied to each particle in the system in such a way that the system is driven into a steady state by balancing the energy input and the dissipation due to inelastic…

统计力学 · 物理学 2009-10-30 Gongwen Peng , Takao Ohta

Many biological systems fold thin sheets of lipid membrane into complex three-dimensional structures. This microscopic origami is often mediated by the adsorption and self-assembly of proteins on a membrane. As a model system to study…

软凝聚态物质 · 物理学 2016-10-11 Raphael Sarfati , Eric R. Dufresne

Synchronization is one of the emerging collective phenomena in interacting particle systems. Its ubiquitous presence in nature, science, and technology has fascinated the scientific community over the decades. Moreover, a great deal of…

适应与自组织系统 · 物理学 2023-12-18 Suvam Pal , Gourab Kumar Sar , Dibakar Ghosh , Arnab Pal

We study the dynamics of classical particles in different classes of spatially extended self-similar systems, consisting of (i) a self-similar Lorentz billiard channel, (ii) a self-similar graph, and (iii) a master equation. In all three…

混沌动力学 · 物理学 2009-08-29 Felipe Barra , Thomas Gilbert , Mauricio Romo

Long-range spatial correlations in the velocity and energy fields of a granular fluid are discussed in the framework of a 1d lattice model. The dynamics of the velocity field occurs through nearest-neighbour inelastic collisions that…

统计力学 · 物理学 2016-10-19 C. A. Plata , A. Manacorda , A. Lasanta , A. Puglisi , A. Prados

The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to large alignment frequency where the alignment effects are…

偏微分方程分析 · 数学 2017-01-16 M. Bostan , J. A. Carrillo

We study general aspects of active motion with fluctuations in the speed and the direction of motion in two dimensions. We consider the case in which fluctuations in the speed are not correlated to fluctuations in the direction of motion,…

生物物理 · 物理学 2009-11-13 Fernando Peruani , Luis G. Morelli

We analyse the collective dynamics of self-propelled particles in the large density regime where passive particles undergo a kinetic arrest to an amorphous glassy state. We capture the competition between self-propulsion and crowding…

统计力学 · 物理学 2014-06-11 Ludovic Berthier

The theoretical prediction that magnetic reconnection spontaneously drives turbulence has been supported by magnetohydrodynamic (MHD) and kinetic simulations. While reconnection with externally driven turbulence is accepted as an effective…

等离子体物理 · 物理学 2023-08-16 Jian-Fu Zhang , Siyao Xu , Alex Lazarian , Grzegorz Kowal

Different from previous modelings of self-propelled particles, we develop a method to propel the particles with a constant average velocity instead of a constant force. This constant propulsion velocity (CPV) approach is validated by its…

软凝聚态物质 · 物理学 2021-01-26 Ruoyang Mo , Qinyi Liao , Ning Xu

With the aim of understanding the emergence of collective motion from local interactions of organisms in a "noisy" environment, we study biologically inspired, inherently non-equilibrium models consisting of self-propelled particles. In…

生物物理 · 物理学 2009-10-31 A. Czirok , T. Vicsek

We study velocity statistics of electrostatically driven granular gases. For two different experiments: (i) non-magnetic particles in a viscous fluid and (ii) magnetic particles in air, the velocity distribution is non-Maxwellian, and its…

软凝聚态物质 · 物理学 2007-05-23 K. Kohlstedt , A. Snezhko , M. V. Sapozhnikov , I. S. Aranson , J. S. Olafsen , E. Ben-Naim