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The comb model is a simplified description for anomalous diffusion under geometric constraints. It represents particles spreading out in a two-dimensional space where the motions in the x-direction are allowed only when the y coordinate of…

Computational Physics · Physics 2015-07-21 H. V. Ribeiro , A. A. Tateishi , L. G. A. Alves , R. S. Zola , E. K. Lenzi

We study singularities in the large deviation function of the time-averaged current of diffusive systems connected to two reservoirs. A set of conditions for the occurrence of phase transitions, both first and second order, are obtained by…

Statistical Mechanics · Physics 2022-08-31 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

The dynamics of a coupled two-component nonequilibrium system is examined by means of continuum field theory representing the corresponding master equation. Particles of species A may perform hopping processes only when particles of…

Statistical Mechanics · Physics 2009-10-31 S. Trimper , U. C. Taeuber , G. M. Schuetz

We study diffusion of a particle in a system composed of K parallel channels, where the transition rates within the channels are quenched random variables whereas the inter-channel transition rate v is homogeneous. A variant of the strong…

Disordered Systems and Neural Networks · Physics 2015-05-14 R. Juhász , F. Iglói

Continuum elasticity is a powerful tool applicable in a broad range of physical systems and phenomena. Yet, understanding how and on what scales material disorder may lead to the breakdown of continuum elasticity is not fully understood. We…

Soft Condensed Matter · Physics 2023-04-11 Edan Lerner , Eran Bouchbinder

Strong anomalous diffusion is characterized by asymptotic power-law growth of the moments of displacement, with exponents that do not depend linearly on the order of the moment. The exponents concerning small-order moments are dominated by…

Statistical Mechanics · Physics 2021-01-27 Jürgen Vollmer , Lamberto Rondoni , Muhammad Tayyab , Claudio Giberti , Carlos Mejía-Monasterio

We study the diffusion of an ensemble of overdamped particles sliding over a tilted random poten- tial (produced by the interaction of a particle with a random polymer) with long-range correlations. We found that the diffusion properties of…

Disordered Systems and Neural Networks · Physics 2014-04-11 R. Salgado-Garcia , Cesar Maldonado

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

The reversible reactions A+A<=>C and A+B<=>C are investigated. From the exact Langevin equations describing our model, we set up a systematic approximation scheme to compute the approach of the density of C particles to its equilibrium…

Statistical Mechanics · Physics 2009-10-31 Pierre-Antoine Rey , John Cardy

The interplay between structure and dynamics in non-equilibrium steady-state is far from understood. We address this interplay by tracking Brownian Dynamics trajectories of particles in a binary colloid of opposite charges in an external…

Soft Condensed Matter · Physics 2016-12-08 Suman Dutta , J. Chakrabarti

Subdiffusive behavior of one-dimensional stochastic systems can be described by time-subordinated Langevin equations. The corresponding probability density satisfies the time-fractional Fokker-Planck equations. In the homogeneous systems…

Statistical Mechanics · Physics 2015-07-01 Rytis Kazakevicius , Julius Ruseckas

We consider one-dimensional asymmetric exclusion processes with a simple attractive interaction, where the distance between consecutive particles is not allowed to exceed a certain limit and investigate the consequences of this coupling on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Róbert Juhász

Diffusion is a fundamental physical phenomenon with critical applications in fields such as metallurgy, cell biology, and population dynamics. While standard diffusion is well-understood, anomalous diffusion often requires complex non-local…

Statistical Mechanics · Physics 2026-01-16 Gabriel Barreiro , Vladimir Pérez-Veloz

Using molecular dynamics simulations we investigate the translational dynamics of particles with dipolar interactions in homogenous external fields. For a broad range of concentrations, we find that the anisotropic, yet normal diffusive…

Soft Condensed Matter · Physics 2015-05-19 Jelena Jordanovic , Sabine H. L. Klapp

We consider systems whose steady-states exhibit a nonequilibrium phase transition from an active state to one -among an infinite number- absorbing state, as some control parameter is varied across a threshold value. The pair contact…

Statistical Mechanics · Physics 2009-11-07 F. van Wijland

We show by extensive simulations that the whole supercritical phase of the three-dimensional uniform forest model simultaneously exhibits an infinite tree and a rich variety of critical phenomena. Besides typical scalings like algebraically…

Statistical Mechanics · Physics 2024-05-08 Hao Chen , Jesús Salas , Youjin Deng

We demonstrate that standard delay systems with a linear instantaneous and a delayed nonlinear term show weak chaos, asymptotically subdiffusive behavior, and weak ergodicity breaking if the nonlinearity is chosen from a specific class of…

Chaotic Dynamics · Physics 2024-07-15 Tony Albers , Lukas Hille , David Müller-Bender , Günter Radons

We investigate the asymptotic properties of the large deviation function of the integrated particle current in systems, in or out of thermal equilibrium, whose dynamics exhibits anomalous diffusion. The physical systems covered by our study…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Uwe C. Tauber , Frederic van Wijland

We performed molecular dynamics simulations to study relaxation phenomena during vapor-liquid transitions in a single component Lennard-Jones system. Results from two different overall densities are presented; one in the neighborhood of the…

Statistical Mechanics · Physics 2019-06-04 Sutapa Roy , Arabinda Bera , Suman Majumder , Subir K. Das

When a periodic 1D system described by a tight-binding model is uniformly initialized with equal amplitudes at all sites, yet with completely random phases, it evolves into a thermal distribution with no spatial correlations. However, when…

Disordered Systems and Neural Networks · Physics 2010-12-09 Yaron Silberberg , Yoav Lahini , Yaron Bromberg , Eran Small , Roberto Morandotti