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We consider the diffusion of independent particles experiencing random accelerations by a space- and time-dependent force as well as viscous damping. This model can exhibit several asymptotic behaviours, depending upon the limiting cases…

Chaotic Dynamics · Physics 2012-06-13 B. Mehlig , M. Wilkinson , V. Bezuglyy , K. Gustavsson , K. Nakamura

We study the one-dimensional active Ising model in which aligning particles undergo diffusion biased by the signs of their spins. The phase diagram obtained varying the density of particles, their hopping rate and the temperature…

Statistical Mechanics · Physics 2024-10-17 Brieuc Benvegnen , Hugues Chaté , Pavel Krapivsky , Julien Tailleur , Alexandre Solon

We prove anomalous-diffusion scaling for a one-dimensional stochastic kinetic dynamics, in which the stochastic drift is driven by an exogenous Bessel noise, and also includes endogenous volatility which is permitted to have arbitrary…

Probability · Mathematics 2025-02-06 Miha Brešar , Conrado da Costa , Aleksandar Mijatović , Andrew Wade

In the volume fraction range (0.005,0.08), we have obtained the temporal evolution of the structure factor $S(q)$, in extensive numerical simulations of both diffusion-limited and reaction-limited colloid aggregation in three dimensions. We…

Condensed Matter · Physics 2007-05-23 Agustin E. Gonzalez , Guillermo Ramirez-Santiago

The scaling behavior of the closed trajectories of a moving particle generated by randomly placed rotators or mirrors on a square or triangular lattice is studied numerically. For most concentrations of the scatterers the trajectories close…

Condensed Matter · Physics 2007-05-23 Meng-she Cao , E. G. D. Cohen

We report a combined experimental and simulation study of deformation-induced diffusion in compacted two-dimensional amorphous granular pillars, in which thermal fluctuations play negligible role. The pillars, consisting of bidisperse…

Soft Condensed Matter · Physics 2015-07-21 Wenbin Li , Jennifer M. Rieser , Andrea J. Liu , Douglas J. Durian , Ju Li

We study analytically giant fluctuations and temporal intermittency in a stochastic one-dimensional model with diffusion and aggregation of masses in the bulk, along with influx of single particles and outflux of aggregates at the…

Statistical Mechanics · Physics 2015-06-17 Himani Sachdeva , Mustansir Barma

We study diffusion in systems of classical particles whose dynamics conserves the total center of mass. This conservation law leads to several interesting consequences. In finite systems, it allows for equilibrium distributions that are…

Statistical Mechanics · Physics 2024-01-04 Jung Hoon Han , Ethan Lake , Sunghan Ro

We describe numerical simulations of the stochastic diffusion equation with a conserved charge. We focus on the dynamics in the vicinity of a critical point in the Ising universality class. The model we consider is expected to describe the…

Nuclear Theory · Physics 2023-10-17 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir Skokov

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

We study dynamics of freely cooling granular gases in two-dimensions using large-scale molecular dynamics simulations. We find that for dilute systems the typical kinetic energy decays algebraically with time, E(t) ~ t^{-1}, in the long…

Statistical Mechanics · Physics 2007-05-23 Xiaobo Nie , Eli Ben-Naim , Shiyi Chen

We present a detailed study of the statistics of a system of diffusing aggregating particles with a steady monomer source. We emphasise the case of low spatial dimensions where strong diffusive fluctuations invalidate the mean-field…

Statistical Mechanics · Physics 2009-11-11 Colm Connaughton , R. Rajesh , Oleg Zaboronski

We experimentally investigate the energy dissipation rate in sinusoidally driven boxes which are partly filled by granular material under conditions of weightlessness. We identify two different modes of granular dynamics, depending on the…

Soft Condensed Matter · Physics 2015-06-15 Achim Sack , Michael Heckel , Jonathan E. Kollmer , Fabian Zimber , Thorsten Poeschel

We study the cluster size distribution of particles for a two-species exclusion process which involves totally asymmetric transport process of two oppositely directed species with stochastic directional switching of the species on a 1D…

Statistical Mechanics · Physics 2022-09-13 Jim Chacko , Sudipto Muhuri , Goutam Tripathy

We introduce a kinetic Monte-Carlo model for self-propelled hard disks to capture with minimal ingredients the interplay between thermal fluctuations, excluded volume and self-propulsion in large assemblies of active particles. We analyze…

Soft Condensed Matter · Physics 2014-07-16 Demian Levis , Ludovic Berthier

Recently it has been shown that the transition of the 1+1-dimensional annihilation-fission process 2X->3X, 2X->0 exhibits an unusual type of nonequilibrium critical behavior. The phenomenological properties of critical clusters are…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen

We study a 1-D granular gas of point-like particles not subject to gravity between two walls at temperatures T_left and T_right. The system exhibits two distinct regimes, depending on the normalized temperature difference Delta = (T_right -…

Statistical Mechanics · Physics 2009-10-31 Jose Miguel Pasini , Patricio Cordero

We analyze systems of clusters and interacting upon colliding---a collision between two clusters may lead to merging or fragmentation---and we also investigate the influence of additional spontaneous fragmentation events. We consider both…

Statistical Mechanics · Physics 2019-05-28 Anna S. Bodrova , Vladimir Stadnichuk , P. L. Krapivsky , Jürgen Schmidt , Nikolai V. Brilliantov

We perform large-scale simulations of a two-dimensional restricted-height conserved stochastic sandpile, focusing on particle diffusion and mobility, and spatial correlations. Quasistationary (QS) simulations yield the critical particle…

We study the dynamics of quasi-two-dimensional concentrated suspensions of colloidal particles in active gels by computer simulations. Remarkably, we find that activity induces a dynamic clustering of colloids even in the absence of any…

Soft Condensed Matter · Physics 2019-10-11 G. Foffano , J. S. Lintuvuori , K. Stratford , M. E. Cates , D. Marenduzzo