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We revisit the problem of diffusion in a driven system consisting of an inertial Brownian particle moving in a symmetric periodic potential and subjected to a symmetric time-periodic force. We reveal parameter domains in which diffusion is…

The spreading of a cloud of independent Brownian particles typically proceeds more effectively at higher temperatures, as it derives from the commonly known Sutherland-Einstein relation for systems in thermal equilibrium. Here, we report on…

统计力学 · 物理学 2017-09-20 Jakub Spiechowicz , Peter Talkner , Peter Hänggi , Jerzy Łuczka

Recent progress in experimental techniques such as single particle tracking allows to analyze both nonequilibrium properties and approach to equilibrium. There are examples showing that processes occurring at finite timescales are…

统计力学 · 物理学 2025-01-24 I. G. Marchenko , I. I. Marchenko , J. Łuczka , J. Spiechowicz

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 analyse the impact of temperature on the diffusion coefficient of an inertial Brownian particle moving in a symmetric periodic potential and driven by a symmetric time-periodic force. Recent studies have revealed the low friction regime…

统计力学 · 物理学 2023-06-28 I. G. Marchenko , V. Aksenova , I. I. Marchenko , J. Łuczka , J. Spiechowicz

We study far from equilibrium transport of a periodically driven inertial Brownian particle moving in a periodic potential. As detected recently for a SQUID ratchet dynamics (Spiechowicz J. & Luczka J. Phys. Rev. E 91, 062104 (2015)), the…

统计力学 · 物理学 2016-12-07 Jakub Spiechowicz , Peter Hänggi , Jerzy Łuczka

We study an inertial Brownian particle moving in a symmetric periodic substrate, driven by a zero-mean biharmonic force and correlated thermal noise. The Brownian motion is described in terms of a Generalized Langevin Equation with an…

统计力学 · 物理学 2010-10-19 Lukasz Machura , Jerzy Luczka

Non-typical transport phenomena may arise when randomly driven particles remain in an active relationship with the environment instead of being passive. If we attribute to Brownian particles an ability to induce alterations of the…

统计力学 · 物理学 2009-10-31 Piotr Garbaczewski

In this paper, a comprehensive examination of the temperature- and bias-dependent diffusion regimes of underdamped Brownian particles is presented. A temperature threshold for a transition between anomalous and normal diffusive behaviors is…

统计力学 · 物理学 2021-11-16 Trey Jiron , Marygrace Prinster , Jarrod Schiffbauer

Using extensive numerical studies we demonstrate that absolute negative mobility of a Brownian particle (i.e. the net motion into the direction opposite to a constant biasing force acting around zero bias) does coexist with anomalous…

统计力学 · 物理学 2019-09-04 J. Spiechowicz , P. Hänggi , J. Łuczka

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

无序系统与神经网络 · 物理学 2018-02-14 S. V. Novikov

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

软凝聚态物质 · 物理学 2019-09-10 Narender Khatri , P. S. Burada

Motivated to understand the asymptotic behavior of periodically driven thermodynamic systems, we study the prototypical example of Brownian particle, overdamped and underdamped, in harmonic potentials subjected to periodic driving. The…

统计力学 · 物理学 2020-05-12 Shakul Awasthi , Sreedhar B. Dutta

It is shown that in systems with time-dependent and/or spatially nonuniform temperature $T(t,x)$, (i) most of the transport processes is weakly non-ergodic, and (ii) the diffusion (Brownian motion, BM) is anomalous. A few examples of simple…

统计力学 · 物理学 2012-06-21 Andrzej Fuliński

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous environments where the transition probabilities follow quasiperiodic or aperiodic distributions. Exploiting an exact correspondence with the…

统计力学 · 物理学 2009-10-31 F. Igloi , L. Turban , H. Rieger

Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasize is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal…

统计力学 · 物理学 2009-10-31 Peter Reimann

There is a growing interest in the stochastic processes of nonequilibrium systems subject to non-conserved forces, such as the magnetic forces acting on charged particles and the chiral self-propelled force acting on active particles. In…

统计力学 · 物理学 2021-12-15 Hiromichi Matsuyama , Kunimasa Miyazaki

Statistical properties of Brownian motion that arise by analyzing, separately, trajectories over which the system energy increases (upside) or decreases (downside) with respect to a threshold energy level, are derived. This selective…

统计力学 · 物理学 2019-08-02 Galen T. Craven , Abraham Nitzan

We study diffusion properties of an inertial Brownian motor moving on a ratchet substrate, i.e. a periodic structure with broken reflection symmetry. The motor is driven by an unbiased time-periodic symmetric force which takes the system…

统计力学 · 物理学 2021-03-25 Jakub Spiechowicz , Marcin Kostur , Jerzy Łuczka

We consider a Brownian particle in a ``meandering'' periodic potential when the ambient temperature is a periodically or stochastically varying function of time. Though far from equilibrium, the linear response of the particle to an…

统计力学 · 物理学 2009-11-10 Ralf Eichhorn , Peter Reimann
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