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Interacting particles diffusing in single-file is a fundamental model of transport in narrow channels where particles cannot bypass each other. An important result has been obtained by Kollmann [Phys. Rev. Lett. 90, 180602 (2003)] for the…

统计力学 · 物理学 2025-07-24 Théotim Berlioz , Olivier Bénichou , Aurélien Grabsch

Swimming bacteria create long-range velocity fields that stir a large volume of fluid and move around passive particles dispersed in the fluid. Recent experiments and simulations have shown that long-time mean-squared displacement of…

软凝聚态物质 · 物理学 2013-08-20 Alexander Morozov , Davide Marenduzzo

Active fluids operate by constantly dissipating energy at the particle level to perform a directed motion, yielding dynamics and phases without any equilibrium equivalent. The emerging behaviors have been studied extensively, yet…

统计力学 · 物理学 2020-02-03 Étienne Fodor , Takahiro Nemoto , Suriyanarayanan Vaikuntanathan

We have studied experimentally transport properties in a slowly driven granular system which recently was shown to display self-organized criticality [Frette {\em et al., Nature} {\bf 379}, 49 (1996)]. Tracer particles were added to a pile…

凝聚态物理 · 物理学 2016-08-15 Kim Christensen , Álvaro Corral , Vidar Frette , Jens Feder , Torstein Jøssang

We consider a simple model of the evolution of the concentration of a tracer, subject to a background shear flow by a fluid with viscosity $\nu \ll 1$ in an infinite channel. Taylor observed in the 1950's that, in such a setting, the tracer…

偏微分方程分析 · 数学 2015-01-26 Margaret Beck , Osman Chaudhary , C. Eugene Wayne

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 first explicit realization of the conjecture that phason dynamics leads to self-diffusion in quasicrystals is presented for the icosahedral Ammann tilings. On short time scales, the transport is found to be subdiffusive with the…

凝聚态物理 · 物理学 2009-10-22 M V Jaric , E S Sorensen

The unbiased thermal diffusion of an overdamped Brownian particle in a square lattice potential is considered in the presence of an externally applied ac driving. The resulting diffusion matrix exhibits two orthogonal eigenvectors with…

统计力学 · 物理学 2012-03-22 David Speer , Ralf Eichhorn , Peter Reimann

We study the diffusion of a Brownian probe particle of size $R$ in a dilute dispersion of active Brownian particles (ABPs) of size $a$, characteristic swim speed $U_0$, reorientation time $\tau_R$, and mechanical energy $k_s T_s = \zeta_a…

软凝聚态物质 · 物理学 2017-05-17 Eric W. Burkholder , John F. Brady

Nonergodicity observed in single-particle tracking experiments is usually modeled by transient trapping rather than spatial disorder. We introduce models of a particle diffusing in a medium consisting of regions with random sizes and random…

软凝聚态物质 · 物理学 2014-09-23 P. Massignan , C. Manzo , J. A. Torreno-Pina , M. F. García-Parajo , M. Lewenstein , G. J. Lapeyre

We study the problem of lateral diffusion on a static, quasi-planar surface generated by a stationary, ergodic random field possessing rapid small-scale spatial fluctuations. The aim is to study the effective behaviour of a particle…

概率论 · 数学 2014-02-03 A. B. Duncan

We present the results of a numerical investigation of three-dimensional decaying turbulence with statistically homogeneous and anisotropic initial conditions. We show that at large times, in the inertial range of scales: (i) isotropic…

混沌动力学 · 物理学 2007-05-23 L. Biferale , G. Boffetta , A. Celani , A. Lanotte , F. Toschi , M. Vergassola

Diffusion is an ubiquitous phenomenon. It is a widespread belief that as long as the area under a current autocorrelation function converges in time, the corresponding spatiotemporal density dynamics should be diffusive. This may be viewed…

统计力学 · 物理学 2025-07-04 Scott D. Linz , Jiaozi Wang , Robin Steinigeweg , Jochen Gemmer

We characterize the super-diffusive dynamics of tracer particles in an electrohydrodynamically driven emulsion of oil droplets in an immiscible oil medium, where the amplitude and frequency of an external electric field are the control…

应用物理 · 物理学 2018-08-15 Somayeh Khajehpour Tadavani , Anand Yethiraj

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

We analyse how simple local constraints in two dimensions lead a defect to exhibit robust, non-transient, and tunable, subdiffusion. We uncover a rich dynamical phenomenology realised in ice- and dimer-type models. On the microscopic scale…

介观与纳米尺度物理 · 物理学 2025-04-02 Nilotpal Chakraborty , Markus Heyl , Roderich Moessner

The coupling between advection and diffusion in position space can often lead to enhanced mass transport compared to diffusion without flow. An important framework used to characterize the long-time diffusive transport in position space is…

流体动力学 · 物理学 2024-10-10 Zhiwei Peng

We discuss effects of anisotropic scattering in transport properties of ultracold atoms in three-dimensional optical potentials. Within the realm of the first Born approximation, we calculate the self energy, the scattering mean free time,…

无序系统与神经网络 · 物理学 2023-02-16 Afifa Yedjour , Abdelaali Boudjemaa

Optical tweezers setup is often used to probe the motion of individual tracer particle, which promotes the study of relaxation dynamics of a generic process confined in a harmonic potential. We uncover the dependence of ensemble- and…

统计力学 · 物理学 2020-04-15 Xudong Wang , Yao Chen , Weihua Deng

We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior $<x^2 > \sim t^{1/2}$. We show the validity of the usual Fluctuation-Dissipation…

统计力学 · 物理学 2008-10-10 D. Villamaina , A. Puglisi , A. Vulpiani
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