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We introduce a class of exactly solvable models which exhibit an ordering noise-induced phase transition driven by an entropic mechanism. In contrast with previous studies, order does not appear in this case as a result of an instability of…

Condensed Matter · Physics 2007-05-23 M. Ibanes , J. Garcia-Ojalvo , R. Toral , J. M. Sancho

We consider an overdamped particle with a general physical mechanism that creates noisy active movement (e.g., a run-and-tumble particle or active Brownian particle etc.), that is confined by an external potential. Focusing on the limit in…

Statistical Mechanics · Physics 2023-08-23 Naftali R. Smith

Many systems in nature and laboratories are far from equilibrium and exhibit significant fluctuations, invalidating the key assumptions of small fluctuations and short memory time in or near equilibrium. A full knowledge of Probability…

Statistical Mechanics · Physics 2017-11-15 Eun-jin Kim , Lucille-Marie Tenk`es , Rainer Hollerbach , Ovidiu Radulescu

We consider a particle in the over-damped regime at zero temperature under the influence of a sawtooth potential and of a noisy force, which is correlated in time. A current occurs, even if the mean of the noisy force vanishes. We calculate…

Statistical Mechanics · Physics 2009-10-30 Heiner Kohler , Andreas Mielke

In this work, we show that the inverse-$\lambda$ shape in the fundamental diagram of traffic flow can be produced dynamically by a simple nonlinear mesoscopic model with stochastic noises. The proposed model is based on the gas-kinetic…

Physics and Society · Physics 2017-09-28 Wei-Liang Qian , Adriano F. Siqueira , Romuel F. Machado , Kai Lin , Ted William Grant

The overdamped motion of a Brownian particle in randomly switching piece-wise metastable linear potential shows noise enhanced stability (NES): the noise stabilizes the metastable system and the system remains in this state for a longer…

Statistical Mechanics · Physics 2009-11-10 B. Spagnolo , A. A. Dubkov , N. V. Agudov

We study a one-dimensional system of spatially extended particles, which are fixated to regularly spaced locations by means of elastic springs. The particles are assumed to be driven by a Gaussian noise and to have dissipative,…

Statistical Mechanics · Physics 2014-04-30 Roman Mani , Lucas Böttcher , Hans J. Herrmann , Dirk Helbing

Modeling the dynamics of an individual active particle invariably involves an isotropic noisy self-propulsion component, in the form of run-and-tumble motion or variations around it. This nonequilibrium source of noise is neither…

Statistical Mechanics · Physics 2018-12-20 Étienne Fodor , Hisao Hayakawa , Julien Tailleur , Frédéric van Wijland

We have generalized the semi-analytic approach of special flow to the description of flows of passive particles taking into account internal noise. The model is represented by a series of recurrence relations. The recurrence relations are…

Statistical Mechanics · Physics 2023-12-12 Boris S. Maryshev , Lyudmila S. Klimenko

We study metastability and nucleation in a kinetic two-dimensional Ising model which is driven out of equilibrium by a small random perturbation of the usual dynamics at temperature T. We show that, at a mesoscopic/cluster level, a…

Statistical Mechanics · Physics 2009-11-11 Pablo I. Hurtado , J. Marro , P. L. Garrido

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

We investigate the transport properties of particles driven by colored noise in a flashing ratchet potential, focusing on both non-interacting and single-file interacting regimes. The model incorporates memory effects via a non-Markovian…

Soft Condensed Matter · Physics 2025-12-18 Karina I. Mazzitello , Daniel G. Zarlenga , Constancio M. Arizmendi

The over-damped motion of a Brownian particle in an asymmetric, bistable, fluctuating potential shows noise induced stability: For intermediate fluctuation rates the mean occupancy of minima with an energy above the absolute minimum is…

Statistical Mechanics · Physics 2009-10-31 Andreas Mielke

Motivated by stochastic models of climate phenomena, the steady-state of a linear stochastic model with additive Gaussian white noise is studied. Fluctuation theorems for nonequilibrium steady-states provide a constraint on the character of…

Statistical Mechanics · Physics 2008-01-04 Jeffrey B. Weiss

We consider the overdamped motion of Brownian particles, interacting via particle exclusion, in an external potential that varies with time and space. We show that periodic potentials that maintain specific position-dependent phase…

Statistical Mechanics · Physics 2011-05-09 Debasish Chaudhuri , Abhishek Dhar

An experimental arrangement and a set of experiments are developed to generate empirical evidence of the effect of noise on a rotating, macro-scale cantilever structure. The experiment is a controlled representation of a rotating machinery…

Applied Physics · Physics 2023-06-01 Lautaro Cilenti , Maria Cameron , Balakumar Balachandran

We derive the stationary probability distribution for a non-equilibrium system composed by an arbitrary number of degrees of freedom that are subject to Gaussian colored noise and a conservative potential. This is based on a…

Statistical Mechanics · Physics 2015-06-01 Claudio Maggi , Umberto Marini Bettolo Marconi , Nicoletta Gnan , Roberto Di Leonardo

We propose a new non-equilibrium model for spatial pattern formation on the basis of local information transfer. Unlike standard models of pattern formation it is not based on the Turing instability. Information is transmitted through the…

Statistical Mechanics · Physics 2007-05-23 Thimo Rohlf , Stefan Bornholdt

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov , R. Graham

We consider equations of nonlinear transport on the circle with regular self interactions appearing in aggregation models and deterministic mean field dynamics. We introduce a random perturbation of such systems through a stochastic…

Probability · Mathematics 2026-01-07 Max-K. von Renesse , Feng-Yu Wang , Alexander Weiß