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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 investigate the dynamics of an overdamped Brownian particle moving in a washboard potential with space dependent friction coefficient. Analytical expressions have been obtained for current and diffusion coefficient. We show that the…

统计力学 · 物理学 2009-11-07 Debasis Dan , A. M. Jayannavar

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 celebrated Sutherland-Einstein relation for systems at thermal equilibrium states that spread of trajectories of Brownian particles is an increasing function of temperature. Here, we scrutinize diffusion of underdamped Brownian motion…

统计力学 · 物理学 2020-04-22 J. Spiechowicz , J. Luczka

It is generally believed that collisions of particles reduce the self-diffusion coefficient. Here we show that in odd-diffusive systems, which are characterized by diffusion tensors with antisymmetric elements, collisions surprisingly can…

统计力学 · 物理学 2022-09-14 Erik Kalz , Hidde Derk Vuijk , Iman Abdoli , Jens-Uwe Sommer , Hartmut Löwen , Abhinav Sharma

We investigate single-particle diffusion in a two-state Langevin model where the friction coefficient randomly switches between low-friction (liquid-like) and high-friction (glassy-like) states. The dynamics are governed by the ratio…

化学物理 · 物理学 2025-12-03 Fivos Perakis , Takeshi Kawasaki , Shinji Saito

The dynamical friction and diffusion coefficients are derived for a massive binary that moves against a uniform background of stars. The random impulses exerted on the binary's center of mass by the field stars are greater than those…

天体物理学 · 物理学 2009-10-31 David Merritt

The one-dimensional overdamped Brownian motion in a symmetric periodic potential modulated by external time-reversible noise is analyzed. The calculation of the effective diffusion coefficient is reduced to the mean first passage time…

统计力学 · 物理学 2009-11-11 Bernardo Spagnolo , Alexander Dubkov

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

Giant diffusion, where the diffusion coefficient of a Brownian particle in a periodic potential with an external force is significantly enhanced by the external force, is a non-trivial non-equilibrium phenomenon. We propose a simple…

统计力学 · 物理学 2025-06-17 Kento Iida , Andreas Dechant , Takuma Akimoto

We present a study on the dynamics of a system consisting of a pair of hardcore particles diffusing with different rates. We solved the drift-diffusion equation for this model in the case when one particle, labeled F, drifts and diffuses…

统计力学 · 物理学 2010-12-14 S. L. Narasimhan , A. Baumgaertner

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

Diffusion and rectification of Brownian particles powered by a rotating wheel are numerically investigated in a two-dimensional channel. The nonequilibrium driving comes from the rotating wheel, which can break thermodynamical equilibrium…

统计力学 · 物理学 2017-07-24 Bao-quan Ai

We prove a central limit theorem for the momentum distribution of a particle undergoing an unbiased spatially periodic random forcing at exponentially distributed times without friction. The start is a linear Boltzmann equation for the…

数学物理 · 物理学 2015-05-14 Jeremy Clark , Christian Maes

Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the…

统计力学 · 物理学 2009-11-11 L. Machura , M. Kostur , P. Talkner , J. Luczka , P. Hänggi

Understanding particle motion in narrow channels is essential to guide progress in numerous applications, from filtration to vascular transport. Thermal or active fluctuations of channel walls for fluid-filled channels can slow down or…

软凝聚态物质 · 物理学 2023-12-29 Yating Wang , David S. Dean , Sophie Marbach , Ruben Zakine

We study the long-time behavior of underdamped Brownian particle moving through a viscous medium and in a systematic potential, when it is subjected to a space-dependent high-frequency periodic force. When the frequency is very large, much…

统计力学 · 物理学 2009-11-11 Malay Bandyopadhyay , Sushanta Dattagupta , Monamie Sanyal

Fractional Brownian motion is a Gaussian stochastic process with stationary, long-time correlated increments and is frequently used to model anomalous diffusion processes. We study numerically fractional Brownian motion confined to a finite…

统计力学 · 物理学 2019-03-22 T. Guggenberger , G. Pagnini , T. Vojta , R. Metzler

Diffusion of small particles is omnipresent in a plentiful number of processes occurring in Nature. As such, it is widely studied and exerted in almost all branches of sciences. It constitutes such a broad and often rather complex subject…

统计力学 · 物理学 2023-01-11 Jakub Spiechowicz , Ivan G. Marchenko , Peter Hänggi , Jerzy Łuczka

Brownian particles in random potentials show an extended regime of subdiffusive dynamics at intermediate times. The asymptotic diffusive behavior is often established at very long times and thus cannot be accessed in experiments or…

软凝聚态物质 · 物理学 2014-05-22 Richard D. L. Hanes , Michael Schmiedeberg , Stefan U. Egelhaaf
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