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An asymmetric exclusion model on an open chain with random rates for hopping particles, where overtaking is also possible, is studied numerically and by computer simulation. The phase structure of the model and the density profiles near the…

Statistical Mechanics · Physics 2007-05-23 A. Tonddast-Navaei , V. Karimipour , M. R. Ejtehadi

The asymmetric exclusion process is an idealised stochastic model of transport, whose exact solution has given important insight into a general theory of nonequilibrium statistical physics. In this work, we consider a totally asymmetric…

Statistical Mechanics · Physics 2018-06-25 Arvind Ayyer , Dipankar Roy

Transport in collisionless plasmas is usually called anomalous, being due to the interaction between the particles and the self-generated turbulence by their collective interactions. Because of its relevance for astrophysical and space…

Plasma Physics · Physics 2017-02-14 P. A. Muñoz , J. Büchner , P. Kilian

Transport properties of particles in confining geometries show very specific characteristics as lateral drift, oscillatory movement between lateral walls or the deformation of flexible fibers. These dynamics result from viscous friction…

Fluid Dynamics · Physics 2020-04-03 M. Bechert , J. Cappello , M. Daïeff , F. Gallaire , A. Lindner , C. Duprat

Anomalous transport processes in which the variance of the distance travelled does not necessarily increase linearly with time are modelled using the formalism of continuous time random walks. We compute particle propagators which have the…

Astrophysics · Physics 2011-05-23 B. R. Ragot , J. G. Kirk

We study transport properties of a disordered tight-binding model (XX spin chain) in the presence of dephasing. Focusing on diffusive behavior in the thermodynamic limit at high energies, we analytically derive the dependence of…

Strongly Correlated Electrons · Physics 2013-03-05 Marko Znidaric , Martin Horvat

We simulate a disordered assembly of particles interacting through a repulsive Yukawa potential with a small fraction of the particles coupled to an external drive. Distortions in the arrangement of the nondriven particles produce a…

Soft Condensed Matter · Physics 2009-11-11 C. Reichhardt , C. J. Olson Reichhardt

We study the driven Brownian motion of hard rods in a one-dimensional cosine potential with an amplitude large compared to the thermal energy. In a closed system, we find surprising features of the steady-state current in dependence of the…

Statistical Mechanics · Physics 2018-10-24 Dominik Lips , Artem Ryabov , Philipp Maass

It has been recently suggested that a totally asymmetric exclusion process with two species on an open chain could exhibit spontaneous symmetry breaking in some range of the parameters defining its dynamics. The symmetry breaking is…

Condensed Matter · Physics 2009-10-28 C. Godreche , J. M. Luck , M. R. Evans , D. Mukamel , S. Sandow , E. R. Speer

We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains…

Statistical Mechanics · Physics 2009-11-11 T. Bodineau , B. Derrida

We prove density and current fluctuations for two examples of symmetric, interacting particle systems with anomalous diffusive behavior: the zero-range process with long jumps and the zero-range process with degenerated bond disorder. As an…

Probability · Mathematics 2009-01-05 M. Jara

The symmetric simple exclusion process (SEP) is a paradigmatic model of diffusion in a single-file geometry, in which the particles cannot cross. In this model, the study of currents have attracted a lot of attention. In particular, the…

Statistical Mechanics · Physics 2024-02-09 Aurélien Grabsch , Pierre Rizkallah , Olivier Bénichou

Mixing and transport of passive particles are studied in a simple kinematic model of a meandering jet flow motivated by the problem of lateral mixing and transport in the Gulf Stream. We briefly discuss a model streamfunction, Hamiltonian…

Chaotic Dynamics · Physics 2012-05-29 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky , G. M. Zaslavsky

We study one-dimensional hardcore lattice gases, with nearest-neighbor interactions, in the presence of an external potential barrier, that moves on the periodic lattice with a constant speed. We investigate how the nature of the…

Statistical Mechanics · Physics 2023-04-14 Deepsikha Das , Punyabrata Pradhan , Sakuntala Chatterjee

We study the totally asymmetric simple exclusion process (TASEP) on complex networks, as a paradigmatic model for transport subject to excluded volume interactions. Building on TASEP phenomenology on a single segment and borrowing ideas…

Statistical Mechanics · Physics 2011-08-09 I. Neri , N. Kern , A. Parmeggiani

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

We numerically investigate the transport of a suspended overdamped Brownian particle which is driven through a two-dimensional rectangular array of circular obstacles with finite radius. Two limiting cases are considered in detail, namely,…

Chemical Physics · Physics 2012-01-06 P. K. Ghosh , P. Hanggi , F. Marchesoni , S. Martens , F. Nori , L. Schimansky-Geier , G. Schmid

We consider the random walk of a particle in a two-dimensional self-affine random potential of Hurst exponent $H=1/2$ in the presence of an external force $F$. We present numerical results on the statistics of first-passage times that…

Disordered Systems and Neural Networks · Physics 2010-08-31 Cecile Monthus , Thomas Garel

We review recent results on the anomalous transport in one-dimensional and quasi-one-dimensional systems with bulk and surface disorder. Main attention is paid to the role of long-range correlations in random potentials for the bulk…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. M. Izrailev , N. M. Makarov

The motion of self-propelled particles is modeled as a persistent random walk. An analytical framework is developed that allows the derivation of exact expressions for the time evolution of arbitrary moments of the persistent walk's…

Soft Condensed Matter · Physics 2015-07-28 Zeinab Sadjadi , M. Reza Shaebani , Heiko Rieger , Ludger Santen