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Models of one-dimensional driven diffusive systems sometimes exhibit an abrupt increase of the correlation length to an anomalously large but finite value as the parameters of the model are varied. This behavior may be misinterpreted as a…

Statistical Mechanics · Physics 2009-11-07 Y. Kafri , E. Levine , D. Mukamel , J. Torok

Driven particles in presence of crowded environment, obstacles or kinetic constraints often exhibit negative differential mobility (NDM) due to their decreased dynamical activity. We propose a new mechanism for complex many-particle systems…

Statistical Mechanics · Physics 2018-06-06 Amit Kumar Chatterjee , Urna Basu , P. K. Mohanty

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 measure the defect density as a function of time at different temperatures in simulations of a two dimensional system of interacting particles. Just above the solid to liquid transition temperature, the power spectrum of the defect…

Soft Condensed Matter · Physics 2009-11-07 C. Reichhardt , C. J. Olson Reichhardt

We experimentally study the fluctuations of the work done by an external Gaussian random force on two different stochastic systems coupled to a thermal bath: a colloidal particle in an optical trap and an atomic force microscopy cantilever.…

Statistical Mechanics · Physics 2010-04-20 Juan Ruben Gomez-Solano , Ludovic Bellon , Artyom Petrosyan , Sergio Ciliberto

We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding nonlinear integro-differential equations for the relevant…

Statistical Mechanics · Physics 2015-06-25 Luca Delfini , Stefano Lepri , Roberto Livi , Antonio Politi

We study an open-boundary version of the on-off zero-range process introduced in Hirschberg et al. [Phys. Rev. Lett. 103, 090602 (2009)]. This model includes temporal correlations which can promote the condensation of particles, a situation…

Statistical Mechanics · Physics 2015-08-25 Massimo Cavallaro , Raúl J. Mondragón , Rosemary J. Harris

The long-time dynamics of reaction-diffusion processes in low dimensions is dominated by fluctuation effects. The one-dimensional coagulation-diffusion process describes the kinetics of particles which freely hop between the sites of a…

Statistical Mechanics · Physics 2013-01-15 Xavier Durang , Jean-Yves Fortin , Diego Del Biondo , Malte Henkel , Jean Richert

We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates. Compared to…

Statistical Mechanics · Physics 2021-02-03 Bernard Derrida , Ori Hirschberg , Tridib Sadhu

Anomalous diffusion is discussed in the context of quantum Brownian motion with colored noise. It is shown that earlier results follow simply and directly from the fluctuation-dissipation theorem. The limits on the long-time dependence of…

Quantum Physics · Physics 2007-05-23 G. W. Ford , R. F. O'Connell

The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the…

High Energy Physics - Theory · Physics 2019-12-24 Xinyi Chen-Lin , Luca V. Delacrétaz , Sean A. Hartnoll

The ground state of a phase-coherent mesoscopic system is sensitive to its environment. We investigate the persistent current of a ring with a quantum dot which is capacitively coupled to an external circuit with a dissipative impedance. At…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pascal Cedraschi , Vadim V. Ponomarenko , Markus Buttiker

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 examine the asymmetric simple exclusion process with open boundaries, a paradigm of driven diffusive systems, having a nonequilibrium steady state transition. We provide a full derivation and expanded discussion and digression on results…

Statistical Mechanics · Physics 2009-11-11 Martin Depken , Robin Stinchcombe

In this article we obtain the equilibrium fluctuations of a symmetric exclusion process in $\mathbb{Z}$ with long jumps. The transition probability of the jump from $x$ to $y$ is proportional to $|x-y|^{-\gamma-1}$. Here we restrict to the…

Probability · Mathematics 2022-12-26 Pedro Cardoso , Patrícia GonÇAlves , Byron JimÉnez-Oviedo

Evolution of a system of diffusing and proliferating mortal reactants is analyzed in the presence of randomly moving catalysts. While the continuum description of the problem predicts reactant extinction as the average growth rate becomes…

Soft Condensed Matter · Physics 2009-10-31 N. M. Shnerb , E. Bettelheim , Y. Louzoun , O. Agam , S. Solomon

We consider the one-dimensional partially asymmetric zero range process where the hopping rates as well as the easy direction of hopping are random variables. For this type of disorder there is a condensation phenomena in the thermodynamic…

Statistical Mechanics · Physics 2009-11-11 Róbert Juhász , Ludger Santen , Ferenc Iglói

The additivity principle allows a calculation of current fluctuations and associated density profiles in large diffusive systems. In order to test its validity in the weakly asymmetric exclusion process with open boundaries, we use a…

Statistical Mechanics · Physics 2013-05-30 Mieke Gorissen , Carlo Vanderzande

We investigate a problem of the necessary and sufficient conditions for appearance of the 1/f fluctuations in the simple systems affected by the external random perturbations, i.e. the power spectral density of the flux of particles moving…

adap-org · Physics 2007-05-23 B. Kaulakys , T. Meskauskas

We study how the interplay of dissipation and interactions affects the dynamics of a bosonic many-body quantum system. In the presence of both dissipation and strongly repulsive interactions, observables such as the coherence and the…

Quantum Physics · Physics 2012-07-27 Dario Poletti , Jean-Sebastien Bernier , Antoine Georges , Corinna Kollath