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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…

统计力学 · 物理学 2022-12-07 Yating Wang , Z. C. Tu

We study the dynamics of an active Brownian particle with a nonlinear friction function located in a spatial cubic potential. For strong but finite damping, the escape rate of the particle over the spatial potential barrier shows a…

统计力学 · 物理学 2012-04-02 P. S. Burada , B. Lindner

We investigate the escape rate of an overdamped, self-propelled spherical Brownian particle on a surface from a metastable potential well. Within a modeling in terms of a 1D constant speed of the particle's active dynamics we consider the…

软凝聚态物质 · 物理学 2016-10-12 Alexander Geiseler , Peter Hänggi , Gerhard Schmid

Activity significantly enhances the escape rate of a Brownian particle over a potential barrier. Whereas constant activity has been extensively studied in the past, little is known about the effect of time-dependent activity on the escape…

软凝聚态物质 · 物理学 2019-07-10 A. Scacchi , J. M. Brader , A. Sharma

A distinguishing feature of active particles is the nature of the non-equilibrium noise driving their dynamics. Control of these noise properties is, therefore, of both fundamental and applied interest. We demonstrate emergent tuning of the…

软凝聚态物质 · 物理学 2021-01-05 Aniruddh Murali , Pritha Dolai , Ashwini Krishna , K. Vijay Kumar , Shashi Thutupalli

Escape of active agents from metastable states is of great interest in statistical and biological physics. In this study, we investigate the escape of a flexible active ring, composed of active Brownian particles, from a flat attractive…

软凝聚态物质 · 物理学 2024-08-21 Bin Tang , Jin-cheng Gao , Kang Chen , Tian Hui Zhang , Wen-de Tian

Active Brownian particles (ABPs) and Run-and-Tumble particles (RTPs) both self-propel at fixed speed $v$ along a body-axis ${\bf u}$ that reorients either through slow angular diffusion (ABPs) or sudden complete randomisation (RTPs). We…

统计力学 · 物理学 2015-10-12 A. P. Solon , M. E. Cates , J. Tailleur

We discuss activated escape from a metastable state of a system driven by a time-periodic force. We show that the escape probabilities can be changed very strongly even by a comparatively weak force. In a broad parameter range, the…

A diverse range of natural and artificial self-propelled particles are known and are used nowadays. Among them, active Brownian particles (ABPs) and run-and-tumble particles (RTPs) are two important classes. We numerically study…

软凝聚态物质 · 物理学 2016-12-02 Maryam Khatami , Katrin Wolff , Oliver Pohl , Mohammad Reza Ejtehadi , Holger Stark

We study the dynamics of one-dimensional active particles confined in a double-well potential, focusing on the escape properties of the system, such as the mean escape time from a well. We first consider a single-particle both in near and…

统计力学 · 物理学 2022-03-15 Lorenzo Caprini , Fabio Cecconi , Umberto Marini Bettolo Marconi

We study the transport of self-propelled noninteracting active Brownian particles (ABPs) and run-and-tumble particles (RTPs) in long tubes of varying widths. Using a moment expansion, we construct a generalized Fick-Jacobs framework for the…

软凝聚态物质 · 物理学 2026-04-16 Yongfeng Zhao

A one-dimensional run-and-tumble particle (RTP) switches randomly between a left and right moving state of constant speed $v$. This type of motion arises in a wide range of applications in cell biology, including the unbiased growth and…

统计力学 · 物理学 2021-02-23 Paul C Bressloff

We numerically investigate the mean exit time of an inertial active Brownian particle from a circular cavity with single or multiple exit windows. Our simulation results witness distinct escape mechanisms depending upon the relative…

统计力学 · 物理学 2025-08-18 Tanwi Debnath , Pinaki Chaudhury , Taritra Mukherjee , Debasish Mondal , Pulak K. Ghosh

The escape rate of a Brownian particle over a potential barrier is accurately described by the Kramers theory. A quantitative theory explicitly taking the activity of Brownian particles into account has been lacking due to the inherently…

软凝聚态物质 · 物理学 2017-02-01 A. Sharma , R. Wittmann , J. M. Brader

We treat the noise-activated escape from a one-dimensional potential well of an overdamped particle, to which a periodic force of fixed frequency is applied. We determine the boundary layer behavior, and the physically relevant length…

统计力学 · 物理学 2007-05-23 Robert S. Maier , D. L. Stein

We study a one-dimensional run-and-tumble particle (RTP), which is a prototypical model for active system, moving within an arbitrary external potential. Using backward Fokker-Planck equations, we derive the differential equation satisfied…

统计力学 · 物理学 2025-01-27 Mathis Guéneau , Satya N. Majumdar , Gregory Schehr

We introduce and study a model in one dimension of $N$ run-and-tumble particles (RTP) which repel each other logarithmically in the presence of an external quadratic potential. This is an "active'' version of the well-known Dyson Brownian…

统计力学 · 物理学 2023-11-27 Leo Touzo , Pierre Le Doussal , Gregory Schehr

Active Brownian particles (ABPs, such as self-phoretic colloids) swim at fixed speed $v$ along a body-axis ${\bf u}$ that rotates by slow angular diffusion. Run-and-tumble particles (RTPs, such as motile bacteria) swim with constant $\u$…

统计力学 · 物理学 2013-02-27 M. E. Cates , J. Tailleur

Thermally activated escape of a Brownian particle over a potential barrier is well understood within Kramers theory. When subjected to an external magnetic field, the Lorentz force slows down the escape dynamics via a rescaling of the…

统计力学 · 物理学 2022-08-10 Iman Abdoli , Jens-Uwe Sommer , Hartmut Löwen , Abhinav Sharma

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…

统计力学 · 物理学 2009-11-11 B. Dybiec E. Gudowska-Nowak P. Hänggi
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