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The reactive process of barrier escaping from the metastable potential well is studied together with the extension of Kramers' rate formula to the fractional case. Characteristic quantities are computed for an thimbleful of insight into the…

化学物理 · 物理学 2015-02-24 Chun-Yang Wang

The stochastic motion of particles in living cells is often spatially inhomogeneous with a higher effective diffusivity in a region close to the cell boundary due to active transport along actin filaments. As a first step to understand the…

统计力学 · 物理学 2019-09-25 Matthieu Mangeat , Heiko Rieger

Using an additivity property, we study particle-number fluctuations in a system of interacting self-propelled particles, called active Brownian particles (ABPs), which consists of repulsive disks with random self-propulsion velocities. From…

统计力学 · 物理学 2016-05-16 Subhadip Chakraborti , Shradha Mishra , Punyabrata Pradhan

By working in the small persistence time limit, we determine the steady-state distribution of an Active Ornstein Uhlenbeck Particle (AOUP) experiencing, in addition to self-propulsion, a Gaussian white noise modelling a bath at temperature…

统计力学 · 物理学 2021-05-26 David Martin , Thibaut Arnoulx de Pirey

As a result of nonequilibrium forces, purely repulsive self-propelled particles undergo macrophase separation between a dense and a dilute phase. We present a thorough study of the ordering kinetics of such motility-induced phase separation…

It is well known that path probabilities of Brownian motion correspond to the equilibrium configurational probabilities of flexible Gaussian polymers, while those of active Brownian motion correspond to in-extensible semiflexible polymers.…

统计力学 · 物理学 2020-12-14 Amir Shee , Abhishek Dhar , Debasish Chaudhuri

We numerically investigate the diffusive behavior of active Brownian particles in a two-dimensional confined channel filled with soft obstacles, whose softness is controlled by a parameter $K$. Here, active particles are subjected to…

软凝聚态物质 · 物理学 2024-10-22 Ankit Gupta , P. S. Burada

Activated Random Walk is a system of interacting particles which presents a phase transition and a conjectured phenomenon of self-organized criticality. In this note, we prove that, in dimension 1, in the supercritical case, when a segment…

概率论 · 数学 2025-03-28 Nicolas Forien

The noise driven motion in a bistable potential acts as the archetypal model of various physical phenomena. Here, we contrast the overdamped dynamics with the full (underdamped) dynamics. For the overdamped particle driven by a…

统计力学 · 物理学 2021-07-20 Karol Capała , Bartłomiej Dybiec

Active Brownian particles (ABPs) with pure repulsion is an ideal model to understand the effect of nonequilibrium on collective behaviors. It has long been established that activity can create effective attractions leading to…

软凝聚态物质 · 物理学 2022-04-01 Jie Su , Mengkai Feng , Huijun Jiang , Zhonghuai Hou

Recent advances in micro- and nano-technologies allow the construction of complex active systems from biological and synthetic materials. An interesting example is active vesicles, which consist of a membrane enclosing self-propelled…

软凝聚态物质 · 物理学 2024-06-04 Priyanka Iyer , Gerhard Gompper , Dmitry A. Fedosov

We study the dynamics of a one-dimensional run and tumble particle subjected to confining potentials of the type $V(x) = \alpha \, |x|^p$, with $p>0$. The noise that drives the particle dynamics is telegraphic and alternates between $\pm 1$…

统计力学 · 物理学 2022-06-22 Abhishek Dhar , Anupam Kundu , Satya N. Majumdar , Sanjib Sabhapandit , Grégory Schehr

The diffusive behavior of small entities is strongly influenced by the flow of the surrounding medium, which is ubiquitous in natural and artificial environments. In this study, we investigate the transport characteristics of the inertial…

软凝聚态物质 · 物理学 2025-11-19 Ankit Gupta , P. S. Burada

The time-dependent barrier passage of a particle driven by the structured noise is studied in the field of a metastable potential. Quantities such as the probability of passing over the saddle point and transmission coefficient of the…

化学物理 · 物理学 2015-02-26 Chun-Yang Wang

In this paper we develop an encounter-based model of a run-and-tumble particle (RTP) confined to a finite interval $[0,L]$ with partially absorbing, sticky boundaries at both ends. We assume that the particle switches between two constant…

统计力学 · 物理学 2023-05-10 Paul C. Bressloff

The rate of escape of polymers from a two-dimensionally confining potential well has been evaluated using self-avoiding as well as ideal chain representations of varying length, up to 80 beads. Long timescale Langevin trajectories were…

软凝聚态物质 · 物理学 2015-03-27 Harri Mökkönen , Timo Ikonen , Tapio Ala-Nissila , Hannes Jónsson

In the presence of an obstacle, active particles condensate into a surface "wetting" layer due to persistent motion. If the obstacle is asymmetric, a rectification current arises in addition to wetting. Asymmetric geometries are therefore…

软凝聚态物质 · 物理学 2023-06-06 Mauricio Rojas-Vega , Pablo de Castro , Rodrigo Soto

We study the motion of an active Brownian particle (ABP) using overdamped Langevin dynamics on a two-dimensional substrate with periodic array of obstacles and in a quasi-one-dimensional corrugated channel comprised of periodically arrayed…

软凝聚态物质 · 物理学 2019-05-28 Sudipta Pattanayak , Rakesh Das , Manoranjan Kumar , Shradha Mishra

The effect of concentration-dependent switching of the non-equilibrium depletion interaction between obstacles in a gas flow of interacting Brownian particles is presented. When increasing bath fraction exceeds half-filling, the…

统计力学 · 物理学 2017-02-14 O. V. Kliushnychenko , S. P. Lukyanets

We consider Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion. Provided a supercritical supply of energy, these…

统计力学 · 物理学 2009-10-31 Frank Schweitzer , Benno Tilch , Werner Ebeling
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