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We study an interacting particle system whose dynamics depends on an interacting random environment. As the number of particles grows large, the transition rate of the particles slows down (perhaps because they share a common resource of…

Probability · Mathematics 2009-02-16 Charles Bordenave , David McDonald , Alexandre Proutiere

We analyse the dynamics of a two dimensional system of interacting active dumbbells. We characterise the mean-square displacement, linear response function and deviation from the equilibrium fluctuation-dissipation theorem as a function of…

A nonequilibrium statistical operator method is developed for ensembles of particles obeying non-Hamiltonian equations of motion in classical phase space. The main consequences of non-zero compressibility of phase space are examined in…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov , Jianshu Cao

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

Statistical Mechanics · Physics 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

Dynamic facilitation theory assumes short-ranged dynamic constraints to be the essential feature of supercooled liquids and draws much of its conclusions from the study of kinetically constrained models. While deceptively simple, these…

Materials Science · Physics 2012-06-12 Thomas Speck , David Chandler

The effect of interactions on dynamics of coupled motor proteins is investigated theoretically. A simple stochastic discrete model, that allows to calculate explicitly the dynamic properties of the system, is developed. It is shown that…

Soft Condensed Matter · Physics 2009-11-11 Evgeny B. Stukalin , Anatoly B. Kolomeisky

The dynamics of a system composed of elastic hard particles confined by an isotropic harmonic potential are studied. In the low-density limit, the Boltzmann equation provides an excellent description, and the system does not reach…

Statistical Mechanics · Physics 2024-09-13 P. Maynar , M. I. García de Soria , D. Guéry-Odelin , E. Trizac

We analytically investigate the diffusive motion inferred from experimental observations of active particles driven by quantum vortices on the surface of superfluid helium. We first study the dynamical behavior of an active particle subject…

Statistical Mechanics · Physics 2026-04-21 Yun Jeong Kang , Sung Kyu Seo , Kyungsik Kim

Disordered hyperuniform structures are an exotic state of matter having suppressed density fluctuations at large length-scale similar to perfect crystals and quasicrystals but without any long range orientational order. In the past decade,…

Soft Condensed Matter · Physics 2024-11-18 Yusheng Lei , Ran Ni

We study a coupled dynamics of a network and a particle system. Particles of density $\rho$ diffuse freely along edges, each of which is rewired at a rate given by a decreasing function of particle flux. We find that the coupled dynamics…

Statistical Mechanics · Physics 2008-03-24 Sang-Woo Kim , Jae Dong Noh

When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behaviour with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian…

Statistical Mechanics · Physics 2023-08-23 Leonardo Galliano , Michael E. Cates , Ludovic Berthier

We derive expressions for determination of the stress and the elastic constants in systems composed of particles interacting via non-central two-body potentials as thermal averages of products of first and second partial derivatives of the…

Statistical Mechanics · Physics 2009-11-11 Michael Murat , Yacov Kantor

We study the role of noise on the nature of the transition to collective motion in dry active matter. Starting from field theories that predict a continuous transition at the deterministic level, we show that fluctuations induce a…

Soft Condensed Matter · Physics 2021-04-12 David Martin , Hugues Chaté , Cesare Nardini , Alexandre Solon , Julien Tailleur , Frédéric van Wijland

We introduce a variant of the asymmetric random average process with continuous state variables where the maximal transport is restricted by a cutoff. For periodic boundary conditions, we show the existence of a phase transition between a…

Statistical Mechanics · Physics 2009-11-07 Frank Zielen , Andreas Schadschneider

The nonexponential relaxation ocurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in…

Statistical Mechanics · Physics 2009-11-10 A. Perez-Madrid

Tracking experiments in dense biological tissues reveal a diversity of sources f or local energy injection at the cell scale. The effect of cell motility has been largely studied, but much less is known abo ut the effect of the observed…

Soft Condensed Matter · Physics 2017-11-29 Elsen Tjhung , Ludovic Berthier

Active particles under soft confinement such as droplets or vesicles present intriguing phenomena, as collective motion emerges alongside the deformation of the environment. A model is employed to systematically investigate droplet…

Soft Condensed Matter · Physics 2024-07-25 Javier Diaz , Ignacio Pagonabarraga

We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for…

Soft Condensed Matter · Physics 2024-01-25 Alessandro Taloni

We study the dynamics of weakly deformed interfaces separating two stable phases, starting from the fluctuating hydrodynamics of the phase-separating fields. Using a well-chosen definition for the interface and the dynamical-action…

Statistical Mechanics · Physics 2026-05-19 Lila Sarfati , Julien Tailleur , Frédéric van Wijland

We perform simulations for one dimensional continuous-time random walks in two dynamic random environments with fast (independent spin-flips) and slow (simple symmetric exclusion) decay of space-time correlations, respectively. We focus on…

Probability · Mathematics 2012-05-23 L. Avena , P. Thomann