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While the theory of diffusion of a single Brownian particle in confined geometries is well-established by now, we discuss here the theoretical framework necessary to generalize the theory of diffusion to dense suspensions of strongly…

软凝聚态物质 · 物理学 2014-12-18 H. Löwen , M. Heinen

Simultaneous diffusive and inertial motion of Brownian particles in laminar Couette flow is investigated via Lagrangian and Eulerian descriptions to determine the effect of particle inertia on diffusive transport in the long-time. The…

统计力学 · 物理学 2010-08-13 Yannis Drossinos , Michael W. Reeks

We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a…

We study a system of independent Brownian particles in a flashing ratchet potential that can be turned on or off depending on the position of the particles, with the aim of maximising the speed of the center of mass in the long run. First,…

统计力学 · 物理学 2016-02-02 F. Roca , J. P. G. Villaluenga , L. Dinis

Thermodynamics of nanoscale devices is an active area of research. Despite their noisy surrounding they often produce mechanical work (e.g. micro-heat engines), display rectified Brownian motion (e.g. molecular motors). This invokes…

统计力学 · 物理学 2018-12-05 Arnab Saha , Rahul Marathe , P. S. Pal , A. M. Jayannavar

We study the current noise through an unbiased quantum electron pump and its mesoscopic fluctuations for arbitrary temperatures and beyond the bilinear response. In the bilinear regime, we find the full distributions of the noise power and…

介观与纳米尺度物理 · 物理学 2009-11-07 M. L. Polianski , M. G. Vavilov , P. W. Brouwer

An important question in the field of active matter is whether or not it is possible to predict the phase behavior of these systems. Here, we study the phase coexistence of binary mixtures of torque-free active Brownian particles, for both…

软凝聚态物质 · 物理学 2020-04-03 Berend van der Meer , Vasileios Prymidis , Marjolein Dijkstra , Laura Filion

The propagation of light in a scattering medium is described as the motion of a special kind of a Brownian particle on which the fluctuating forces act only perpendicular to its velocity. This enforces strictly and dynamically the…

无序系统与神经网络 · 物理学 2009-10-31 S. Anantha Ramakrishna , N. Kumar

We consider a particle undergoing Brownian motion in Euclidean space of any dimension, forced by a Gaussian random velocity field that is white in time and smooth in space. We show that conditional on the velocity field, the quenched…

概率论 · 数学 2022-02-09 Alexander Dunlap , Yu Gu

Within the Rayleigh-Helmholtz model of active Brownian particles activity is due to a non-linear velocity dependent force. In the presence of an external trapping potential or a constant force, the steady state of the system breaks detailed…

统计力学 · 物理学 2015-06-19 Debasish Chaudhuri

We investigate analytically a microfluidic device consisting of a tube with non-uniform but spatially periodic diameter, where a fluid driven back and forth by a pump carries colloidal particles. Although the net flow of the fluid is zero,…

软凝聚态物质 · 物理学 2017-07-11 Frantisek Slanina

The $N$-branching Brownian motion with selection ($N$-BBM) is a particle system consisting of $N$ independent particles that diffuse as Brownian motions in $\mathbb{R}$, branch at rate one, and whose size is kept constant by removing the…

概率论 · 数学 2024-07-09 Julien Berestycki , Oliver Tough

Electron counting statistics of a current pump in an open system has universal form in the weak pumping current regime. In the time domain, charge transmission is described by two uncorrelated Poisson processes, corresponding to electron…

介观与纳米尺度物理 · 物理学 2007-05-23 L. S. Levitov

In this paper, we introduce a model of Brownian polymer in a continuous random environment. The asymptotic behavior of the partition function associated to this polymer measure is studied, and we are able to separate a weak and strong…

概率论 · 数学 2007-05-23 Carles Rovira , amy Tindel

The Brownian bees model is a branching particle system with spatial selection. It is a system of $N$ particles which move as independent Brownian motions in $\mathbb{R}^d$ and independently branch at rate 1, and, crucially, at each…

概率论 · 数学 2020-06-12 Julien Berestycki , Eric Brunet , James Nolen , Sarah Penington

A reversal of the particle current in rocking Brownian motors was predicted more than 20 years ago; however, an experimental verification and a deeper insight into the underlying mechanisms remained elusive. Here, we investigate the high…

统计力学 · 物理学 2018-09-12 Christian Schwemmer , Stefan Fringes , Urs Duerig , Yu Kyoung Ryu Cho , Armin W. Knoll

When monitoring the dynamics of stochastic systems, such as interacting particles agitated by thermal noise, disentangling deterministic forces from Brownian motion is challenging. Indeed, we show that there is an information-theoretic…

软凝聚态物质 · 物理学 2020-04-16 Anna Frishman , Pierre Ronceray

We look at the equilibrium of a Brownian particle in an inhomogeneous space following the alternative approach proposed in ref.[1]. We consider a coordinate dependent damping that makes the stochastic dynamics the one with multiplicative…

统计力学 · 物理学 2014-10-07 Avik Biswas , A. Bhattacharyay

We theoretically study the influence of the noise strength on the excitation of the Brillouin propagation modes in a dissipative optical lattice. We show that the excitation has a resonant behavior for a specific amount of noise…

量子物理 · 物理学 2009-11-10 Laurent Sanchez-Palencia , Gilbert Grynberg

We investigate the impact of intermittent energy injections on a Brownian particle, modeled as stochastic renewals of its kinetic energy to a fixed value. Between renewals, the particle follows standard underdamped Langevin dynamics. For…

统计力学 · 物理学 2025-06-11 Ion Santra , Kristian Stølevik Olsen