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The dynamics of active particles is of interest at many levels and is the focus of theoretical and experimental research. There have been many attempts to describe the dynamics of particles affected by random active forces in terms of an…

Statistical Mechanics · Physics 2020-01-08 Dan Wexler , Nir S. Gov , Kim Ø. Rasmussen , Golan Bel

We investigate the Kramers escape from a potential well of a test particle driven by fractional Gaussian noise with Hurst exponent 0<H<1. From a numerical analysis we demonstrate the exponential distribution of escape times from the well…

This paper focuses on the escape problem of a harmonically-forced classical particle from a purely-quartic truncated potential well. The latter corresponds to various engineering systems that involve purely cubic restoring force and absence…

Chaotic Dynamics · Physics 2021-05-20 Maor Farid

We study the stochastic dynamics of a Brownian particle after it is suddenly released from a harmonic trap moving with constant velocity through a fluctuating correlated medium, described by a scalar Gaussian field with relaxational…

Statistical Mechanics · Physics 2025-11-20 Marcin Piotr Pruszczyk , Davide Venturelli , Andrea Gambassi

The slow dynamics in a glassy hard-sphere system is dominated by cage breaking events, i.e., rearrangements where a particle escapes from the cage formed by its neighboring particles. We study such events for an overdamped colloidal system…

Soft Condensed Matter · Physics 2016-10-26 Matthias Kohl , Andreas Härtel , Michael Schmiedeberg

A system reservoir model, where the associated reservoir is modulated by an external colored random force, is proposed to study the transport of an overdamped Brownian particle in a periodic potential. We then derive the analytical…

Soft Condensed Matter · Physics 2009-01-01 Jyotipratim Ray Chaudhuri , Suman Kumar Banik , Sudip Chattopadhyay , Pinaki Chaudhury

We explore the dependence of the thermally activated barrier crossing rate on various model parameters for a dimer that undergoes a Brownian motion on a piecewise linear bistable potential employing the method of adiabatic elimination of…

Statistical Mechanics · Physics 2014-07-15 Mesfin Asfaw

Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the…

Statistical Mechanics · Physics 2012-02-21 Lukas Glod , Gabriela Vasziova , Jana Tothova , Vladimir Lisy

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…

Statistical Mechanics · Physics 2021-03-25 Aleksandra Słapik , Jerzy Łuczka , Jakub Spiechowicz

Throughout physics Brownian dynamics are used to describe the behaviour of molecular systems. When the Brownian particle is confined to a bounded domain, a particularly important question arises around determining how long it takes the…

Optimization and Control · Mathematics 2025-10-24 Jason J. Bramburger

We give an exact solution to the generalized Langevin equation of motion of a charged Brownian particle in a uniform magnetic field that is driven internally by an exponentially-correlated stochastic force. A strong dissipation regime is…

Statistical Mechanics · Physics 2008-02-13 Francis N. C. Paraan , Mikhail P. Solon , J. P. Esguerra

The equilibrium properties of a system of passive diffusing particles in an external magnetic field are unaffected by the Lorentz force. In contrast, active Brownian particles exhibit steady-state phenomena that depend on both the strength…

Statistical Mechanics · Physics 2020-10-06 Iman Abdoli , Abhinav Sharma

Combining experiments on active colloids, whose propulsion velocity can be controlled via a feedback loop, and theory of active Brownian motion, we explore the dynamics of an overdamped active particle with a motility that depends…

We explore the archetype problem of an escape dynamics occurring in a symmetric double well potential when the Brownian particle is driven by {\it white L\'evy noise} in a dynamical regime where inertial effects can safely be neglected. The…

Statistical Mechanics · Physics 2009-11-11 B. Dybiec E. Gudowska-Nowak P. Hänggi

The escape phenomenon, mainly caused by thermal effects, is known as an obstacle to the further practical application of optical levitation system in vacuum. Irregular photophoresis induced by thermal effects can act as an amplifier of…

Optics · Physics 2023-08-16 Mengzhu Hu , Nan Li , Zhenhai Fu , Yizhou Zhang , Wenqiang Li , Huizhu Hu

We analyze the behavior of a Brownian particle moving in a double-well potential. The escape probability of this particle over the potential barrier from a metastable state toward another state is known as the Kramers problem. In this work…

Chaotic Dynamics · Physics 2009-11-13 A. O. Bolivar

We analyze the translational and rotational motion of an ellipsoidal Brownian particle from the viewpoint of stochastic thermodynamics. The particle's Brownian motion is driven by external forces and torques and takes place in an…

Statistical Mechanics · Physics 2018-12-19 Raffaele Marino , Ralf Eichhorn , Erik Aurell

We numerically study the escape kinetics of a self-propelled Janus particle, carrying a cargo, from a meta-stable state. We assume that the cargo is attached to the Janus particle by a flexible harmonic spring. We take into account the…

Soft Condensed Matter · Physics 2018-12-31 Tanwi Debnath , Pulak Kumar Ghosh

In this paper we have presented the mechanism of the barrier crossing dynamics of a Brownian particle which is coupled to a thermal bath in the presence of both time independent and fluctuating magnetic fields. Here the following three…

Statistical Mechanics · Physics 2021-01-05 Shrabani Mondal , Mousumi Biswas , Bidhan Chandra Bag

We discuss escape problem with the consideration of both the activity of particles and the roughness of potentials. we derive analytic expressions for the escape rate of a Brownian particle (ABP) in two types of rough potentials by…

Statistical Mechanics · Physics 2022-12-07 Yating Wang , Z. C. Tu