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Using simulations, we examine the average velocity as a function of applied drift force for active matter particles moving through a random obstacle array. We find that for low drift force, there is an initial flow regime where the mobility…

软凝聚态物质 · 物理学 2019-09-13 C. Reichhardt , C. J. O. Reichhardt

Depending on how the dynamical activity of a particle in a random environment is influenced by an external field $E$, its differential mobility at intermediate $E$ can turn negative. We discuss the case where for slowly changing random…

统计力学 · 物理学 2014-06-13 Urna Basu , Christian Maes

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…

统计力学 · 物理学 2018-06-06 Amit Kumar Chatterjee , Urna Basu , P. K. Mohanty

We reinvestigate a paradigmatic model of nonequilibrium statistical physics consisting of an inertial Brownian particle in a symmetric periodic potential subjected to both a time--periodic force and a static bias. In doing so we focus on…

统计力学 · 物理学 2023-06-21 Mateusz Wiśniewski , Jakub Spiechowicz

We study the behavior of the stationary velocity of a driven particle in an environment of mobile hard-core obstacles. Based on a lattice gas model, we demonstrate analytically that the drift velocity can exhibit a nonmonotonic dependence…

统计力学 · 物理学 2015-06-23 O. Bénichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

Increasing the crowding in an environment does not necessarily trigger negative differential mobility of strongly pushed particles. Moreover, the choice of the model, in particular the kind of microscopic jump rates, may be very relevant in…

统计力学 · 物理学 2015-10-13 Marco Baiesi , Attilio L. Stella , Carlo Vanderzande

We study a one-dimensional Markov modulated random walk with jumps. It is assumed that amplitudes of jumps as well as a chosen velocity regime are random and depend on a time spent by the process at a previous state of the underlying Markov…

概率论 · 数学 2013-03-13 Nikita Ratanov

Piecewise-deterministic Markov processes form a general class of non-diffusion stochastic models that involve both deterministic trajectories and random jumps at random times. In this paper, we state a new characterization of the jump rate…

统计方法学 · 统计学 2017-05-03 Romain Azaïs , Alexandre Genadot

Rate- and state-dependent friction law for velocity-step tests is analyzed from a thermodynamic point of view. A simple macroscopic non-equilibrium thermodynamic model with a single internal variable reproduces instantaneous jump and…

地球物理 · 物理学 2014-11-19 Noa Mitsui , P. Ván

Markov jump processes are continuous-time stochastic processes with a wide range of applications in both natural and social sciences. Despite their widespread use, inference in these models is highly non-trivial and typically proceeds via…

机器学习 · 计算机科学 2023-06-01 Patrick Seifner , Ramses J. Sanchez

We study impact of inertia on directed transport of a Brownian particle under non-equilibrium conditions: the particle moves in a one-dimensional periodic and symmetric potential, is driven by both an unbiased time-periodic force and a…

统计力学 · 物理学 2021-03-25 Aleksandra Słapik , Jerzy Łuczka , Jakub Spiechowicz

We study the response of probe particles to weak constant driving in kinetically constrained models of glassy systems, and show that the probe's response can be non-monotonic and give rise to negative differential mobility: increasing the…

统计力学 · 物理学 2008-07-29 Robert L. Jack , David Kelsey , Juan P. Garrahan , David Chandler

We compare the fluctuations in the velocity and in the fraction of time spent at a given position for minimal models of a passive and an active particle: an asymmetric random walker and a run-and-tumble particle in continuous time and on a…

统计力学 · 物理学 2019-10-03 Emil Mallmin , Richard A Blythe , Martin R Evans

A particle moves randomly over the integer points of the real line. Jumps of the particle outside the membrane (a fixed "locally perturbating set") are i.i.d., have zero mean and finite variance, whereas jumps of the particle from the…

概率论 · 数学 2015-04-28 Alexander Iksanov , Andrey Pilipenko

Swimming droplets are a class of active particles whose motility changes as a function of time due to shrinkage and self-avoidance of their trail. Here we combine experiments and theory to show that our non-Markovian droplet (NMD) model,…

软凝聚态物质 · 物理学 2024-05-17 Wenjun Chen , Adrien Izzet , Ruben Zakine , Eric Clément , Eric Vanden-Eijnden , Jasna Brujic

We study negative large deviations of the long-time empirical front velocity of the center of mass of the one-sided $N$-BBM ($N$-particle branching Brownian motion) system in one dimension. Employing the macroscopic fluctuation theory, we…

统计力学 · 物理学 2024-12-11 Baruch Meerson , Pavel V. Sasorov

Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates fluctuations in a class of random dynamical systems, arising from randomly perturbing a…

动力系统 · 数学 2025-05-30 Cecilia González-Tokman , Joshua Peters

We investigate violations of the fluctuation-dissipation theorem in two classes of trap models by studying the influence of the perturbing field on the transition rates. We show that for perturbed rates depending upon the value of the…

无序系统与神经网络 · 物理学 2009-11-10 F. Ritort

The position of a reaction front, propagating into an unstable state, fluctuates because of the shot noise. What is the probability that the fluctuating front moves considerably slower than its deterministic counterpart? Can the noise…

统计力学 · 物理学 2015-05-28 Baruch Meerson , Pavel Sasorov

A piecewise-deterministic Markov process is a stochastic process whose behavior is governed by an ordinary differential equation punctuated by random jumps occurring at random times. We focus on the nonparametric estimation problem of the…

统计理论 · 数学 2016-05-24 Romain Azaïs , Aurélie Muller-Gueudin
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