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Related papers: Dynamic instability transitions in 1D driven diffu…

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We investigate numerically the transition between static equilibrium and dynamic surface flow of a 2D cohesionless granular system driven by a continuous gravity loading. This transition is characterized by intermittent local dynamic…

Condensed Matter · Physics 2009-11-07 Lydie Staron , Jean-Pierre Vilotte , Farhang Radjai

We investigate the role of the boundary in the symmetric simple exclusion process with competing nonlocal and local hopping events. With open boundaries, the system undergoes a first order phase transition from a finite density phase to an…

Statistical Mechanics · Physics 2009-11-13 Apoorva Nagar , Meesoon Ha , Hyunggyu Park

When dynamics in a system proceeds under suppressive external bias, the system can undergo an abrupt phase transition, as it occurs for example in the epidemic spreading. Recently, an explosive percolation (EP) model was introduced in line…

Statistical Mechanics · Physics 2015-06-17 Y. S. Cho , S. Hwang , H. J. Herrmann , B. Kahng

We analyze the cluster formation in a non-ergodic stochastic system as a result of counter-flow, with the aid of an exactly solvable model. To illustrate the clustering, a two species asymmetric simple exclusion process with impurities on a…

Statistical Mechanics · Physics 2023-05-23 Amit Kumar Chatterjee , Hisao Hayakawa

There are rich emergent phase behaviors in non-equilibrium active systems. Flocking and clustering are two representative dynamic phases. The relationship between these two phases is still unclear. In the paper, we numerically investigate…

Soft Condensed Matter · Physics 2023-08-09 Lu Chen , Bokai Zhang , Z. C. Tu

Using the optimal velocity (OV) model as an example, we show that in the non-linear regime there is an emergent quantity that gives the extremum headways in the cluster formation, as well as the coexistence curve separating the absolute…

Statistical Mechanics · Physics 2016-05-11 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

Using dynamic renormalization group we study the transport in driven diffusive systems in the presence of quenched random drift velocity with long-range correlations along the transport direction. In dimensions $d\mathopen< 4$ we find fixed…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadic

We report new dynamical modes in confined soft granular flows, such as stochastic jetting and dripping, with no counterpart in continuum viscous fluids. The new modes emerge as a result of the propagation of the chaotic behaviour of…

We consider the dynamics of a 1D system evolving according to a deterministic drift and randomly forced by two types of jumps processes, one representing an external, uncontrolled forcing and the other one a control that instantaneously…

Statistical Mechanics · Physics 2019-10-30 Mark S. Bartlett Amilcare Porporato Lamberto Rondoni

The consequences of discrete particle noise for a system possessing a possibly unstable collective mode are discussed. It is argued that a zonostrophic instability (of homogeneous turbulence to the formation of zonal flows) occurs just…

Plasma Physics · Physics 2017-04-05 D. A. St-Onge , J. A. Krommes

Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated pillars (grooves) grows in time are studied by numerical integration and stochastic simulation. When this instability is controlled by the…

Statistical Mechanics · Physics 2009-11-07 B. Chakrabarti , C. Dasgupta

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density,…

Statistical Mechanics · Physics 2009-11-11 I. T. Georgiev , B. Schmittmann , R. K. P. Zia

We investigate the stationary states of one-dimensional driven diffusive systems, coupled to boundary reservoirs with fixed particle densities. We argue that the generic phase diagram is governed by an extremal principle for the macroscopic…

Statistical Mechanics · Physics 2009-10-31 Vladislav Popkov , Gunter M. Schuetz

We study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size $s$ follow $D(s) \sim s^\gamma$ and $v(s)…

Statistical Mechanics · Physics 2009-10-31 E. K. O. Hellen , T. P. Simula , M. J. Alava

A fundamental question in nonequilibrium statistical physics is whether effective equilibrium behavior can emerge at coarse-grained scales in strongly driven systems. Here, we investigate this question in the context of human mobility by…

Physics and Society · Physics 2026-03-24 Lei Dong

A one-dimensional driven lattice gas with disorder in the particle hopping probabilities is considered. It has previously been shown that in the version of the model with random sequential updating, a phase transition occurs from a low…

Statistical Mechanics · Physics 2009-10-30 M. R. Evans

Two-dimensional driven dissipative flows are generally integrable via a conservation law that is singular at equilibria. Nonintegrable dynamical systems are confined to n*3 dimensions. Even driven-dissipative deterministic dynamical systems…

Statistical Mechanics · Physics 2015-06-24 J. L. McCauley

We develop a theory describing how a convectively unstable active field in an open flow is transformed into absolutely unstable by local mixing. Presenting the mixing region as one with a locally enhanced effective diffusion allows us to…

Pattern Formation and Solitons · Physics 2008-12-22 Arthur V. Straube , Arkady Pikovsky

We investigate the physical properties of steady flows in a holographic first-order phase transition model, extending from the thermodynamics at equilibrium to the real-time dynamics far from equilibrium. Through spinodal decomposition or…

High Energy Physics - Theory · Physics 2025-01-24 Qian Chen , Yuxuan Liu , Yu Tian , Xiaoning Wu , Hongbao Zhang

We consider elastic manifolds evolving on disordered energy potentials under the action of an external uniform driving. This scenario includes the cases of {\em depinning} and {\em yielding}, which provide paradigmatic examples of out of…

Statistical Mechanics · Physics 2025-04-16 E. A. Jagla
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