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We investigate resonant acoustic phonon scattering in the magneto-resistivity of an ultra-high mobility two-dimensional electron gas system subject to DC current in the temperature range 10 mK to 3.9 K. For a DC current density of $\sim$1.1…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Z. T. Wang , M. Hilke , N. Fong , D. G. Austing , S. A. Studenikin , K. W. West , L. N. Pfeiffer

We study a quasi-two-dimensional monolayer of granular rods fluidized by a spatially and temporally homogeneous upflow of air. By tracking the position and orientation of the particles, we characterize the dynamics of the system with…

Soft Condensed Matter · Physics 2010-11-03 L. J. Daniels , Y. Park , T. C. Lubensky , D. J. Durian

We present a systematic study of moment evolution in multidimensional stochastic difference systems, focusing on characterizing systems whose low-order moments diverge in the neighborhood of a stable fixed point. We consider systems with a…

Mathematical Physics · Physics 2009-11-10 Dennis M. Wilkinson

In present article we consider the problems of concentrated point force which is moving with constant velocity and oscillating with cyclic frequency in unbounded homogeneous anisotropic elastic two-dimensional medium. The properties of…

Mathematical Physics · Physics 2009-11-10 G. Iovane , A. V. Nasedkin , M. Ciarletta

Traditionally, time-development of the mean square displacement has been employed to determine the diffusion coefficient from the trajectories of single particles. However, this approach is sensitive to the noise and the motion blur upon…

Statistical Mechanics · Physics 2020-08-31 Masanori Mishima

The over-damped motion of a Brownian particle in an asymmetric, bistable, fluctuating potential shows noise induced stability: For intermediate fluctuation rates the mean occupancy of minima with an energy above the absolute minimum is…

Statistical Mechanics · Physics 2009-10-31 Andreas Mielke

We investigate the dynamics of continuous-time two-particle quantum walks on a one-dimensional noisy lattice. Depending on the initial condition, we show how the interplay between particle indistinguishability and interaction determines…

A particle on a substrate supporting a surface acoustic wave can experience horizontal drift excited by the dry friction force. The effect is referred to as vibrational transportation, or as a surface acoustic wave motor. A traditional…

Applied Physics · Physics 2025-11-27 Marina E. Terzi , Vladislav V. Aleshin , Jules Ghesqui`ere , Vincent Tournat

When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behaviour with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian…

Statistical Mechanics · Physics 2023-08-23 Leonardo Galliano , Michael E. Cates , Ludovic Berthier

The dynamics of a two dimensional autophoretic disk is quantified as a minimal model for the chaotic trajectories undertaken by active droplets. Via direct numerical simulations, we show that the mean-square displacement of the disk in a…

Fluid Dynamics · Physics 2023-05-03 R. Kailasham , Aditya S. Khair

Many real-world systems are well-modeled by Brownian particles subject to gradient dynamics plus noise arising, e.g., from the thermal fluctuations of a heat bath. Of central importance to many applications in physics and biology (e.g.,…

Probability · Mathematics 2022-12-20 Yuliy Baryshnikov , Matthew D. Kvalheim

In many instances, the dynamical richness and complexity observed in natural phenomena can be related to stochastic drives influencing their temporal evolution. For example, random noise allied to spatial asymmetries may induce…

Statistical Mechanics · Physics 2023-10-03 K. S. Fa , C. -L. Ho , Y. B. Matos , M. G. E da Luz

We study analytically the dynamics of an anisotropic particle subjected to different stochastic resetting schemes in two dimensions. The Brownian motion of shape-asymmetric particles in two dimensions results in anisotropic diffusion at…

Statistical Mechanics · Physics 2024-07-02 Subhasish Chaki , Kristian Stølevik Olsen , Hartmut Löwen

We derive the probability density function of the positive occupation time of one-dimensional Brownian motion with two-valued drift. Long time asymptotics of the density are also computed. We use the result to describe the transitional…

Probability · Mathematics 2013-06-06 David J. W. Simpson , Rachel Kuske

Noise is usually regarded as adversarial to extract the effective dynamics from time series, such that the conventional data-driven approaches usually aim at learning the dynamics by mitigating the noisy effect. However, noise can have a…

Adaptation and Self-Organizing Systems · Physics 2023-09-12 Zequn Lin , Zhaofan Lu , Zengru Di , Ying Tang

Shearing granular materials induces non-affine displacements. Such non-affine displacements have been studied extensively, and are known to correlate with plasticity and other mechanical features of amorphous packings. A well known example…

Soft Condensed Matter · Physics 2020-12-15 Dong Wang , Joshua A. Dijksman , Jonathan Bares , Jie Ren , Hu Zheng

Typically, in the description of active Brownian particles, a constant effective propulsion force is assumed, which is then subjected to fluctuations in orientation and translation leading to a persistent random walk with an enlarged…

Soft Condensed Matter · Physics 2014-02-28 Sonja Babel , Borge ten Hagen , Hartmut Löwen

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…

Statistical Mechanics · Physics 2017-09-20 Jakub Spiechowicz , Peter Talkner , Peter Hänggi , Jerzy Łuczka

We study a system consisting of a particle adsorbed on a carbon nanotube resonator. The particle is allowed to diffuse along the resonator, in order to enable study of e.g. room temperature mass sensing devices. The system is initialized in…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 Christin Edblom , Andreas Isacsson

The effects of a "diffusing diffusivity" (DD), a stochastically time-varying diffusion coefficient, are explored within the frameworks of three different forms of fractional Brownian motion (FBM): (i) the Langevin equation driven by…

Statistical Mechanics · Physics 2025-04-29 Wei Wang , Aleksei V. Chechkin , Ralf Metzler
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