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We investigate the stochastic motion of a Brownian particle in the harmonic potential with a time-dependent force constant. It may describe the motion of a colloidal particle in an optical trap where the potential well is formed by a…

统计力学 · 物理学 2014-04-11 Chulan Kwon , Jae Dong Noh , Hyunggyu Park

The mean first passage time (MFPT) is a key metric for understanding transport, search, and escape processes in stochastic systems. While well characterized for passive Brownian particles, its behavior in active systems-such as active…

软凝聚态物质 · 物理学 2025-10-22 Sarafa A. Iyaniwura , Zhiwei Peng

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

Motivated by the anomalous diffusion observed in clusters of active Brownian particles (ABPs), where the center-of-mass diffusion coefficient scales as $D\sim N^{-1/2}$ with respect to the number $N$ of particles in the cluster, we derive a…

统计力学 · 物理学 2026-05-07 Daniela Moretti , Pasquale Digregorio , Giuseppe Gonnella , Antonio Suma

Particles kicked by external forces to produce mobility distinct from thermal diffusion are an iconic feature of the active matter problem. Here, we map this onto a minimal model for experiment and theory covering the wide time and length…

软凝聚态物质 · 物理学 2021-01-21 Jin Tae Park , Govind Paneru , Chulan Kwon , Steve Granick , Hyuk Kyu Pak

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, we review the Brownian motion of a particle moving in the vicinity of a…

软凝聚态物质 · 物理学 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle

Motility-induced wall aggregation of active Brownian particles (ABPs) is a well-studied phenomenon. Here, we study the aggregation of ABPs on porous walls, which allows the particles to penetrate through at large motility. We show that the…

软凝聚态物质 · 物理学 2020-10-13 Suchismita Das , Raghunath Chelakkot

Active transport of biomolecular condensates and cell migration in collectives are fundamental to development, homeostasis, and processes such as cancer progression, wound healing, and infection response. Yet how these assemblies are…

软凝聚态物质 · 物理学 2025-10-24 Hossein Vahid , Jens-Uwe Sommer , Abhinav Sharma

We derive equations of motion for the mean-squared displacement (MSD) of an active Brownian particle (ABP) in a crowded environment modeled by a dense system of passive Brownian particles, and of a passive tracer particle in a dense…

软凝聚态物质 · 物理学 2021-07-27 Julian Reichert , Thomas Voigtmann

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even at thermal equilibrium, biological activity can…

软凝聚态物质 · 物理学 2014-02-19 Soya Shinkai , Yuichi Togashi

We investigate the collective dynamics of active Brownian particles (ABPs) subjected to a steady two-dimensional four-roll-mill flow using numerical simulations. By varying the packing fraction ($\phi$), we uncover a novel flow-induced…

软凝聚态物质 · 物理学 2026-03-17 Soni D. Prajapati , Kusum Seervi , Akshay Bhatnagar , Anupam Gupta

We address the question of how interacting active systems in a non-equilibrium steady-state respond to an external perturbation. We establish an extended fluctuation-dissipation theorem for Active Brownian Particles (ABP) which highlights…

统计力学 · 物理学 2026-01-14 Sara Dal Cengio , Demian Levis , Ignacio Pagonabarraga

We investigate the self-propulsion of an inertial active particle confined in a two-dimensional harmonic trap. The particle is suspended in a non-Newtonian or viscoelastic suspension with a friction kernel that decays exponentially with a…

软凝聚态物质 · 物理学 2024-02-09 F Adersh , M Muhsin , M Sahoo

We study the phase transition of nuclear (baryonic) matter in the model of one-dimensional random fluctuation walk. The stochastic fields (forces) influence intrinsic to Bose-Einstein correlations between two identical particles is a…

高能物理 - 唯象学 · 物理学 2017-07-04 G. Kozlov

We develop a Fluctuating Immersed Boundary (FIB) method for performing Brownian dynamics simulations of confined particle suspensions. Unlike traditional methods which employ analytical Green's functions for Stokes flow in the confined…

软凝聚态物质 · 物理学 2015-06-29 S. Delong , F. Balboa Usabiaga , R. Delgado-Buscalioni , B. E. Griffith , A. Donev

The steady state and phase ordering kinetics in a pure active Borwnian particle system are studied in recent years. In binary mixture of active and passive Brownian particles passive particles are used as probe to understand the properties…

软凝聚态物质 · 物理学 2021-08-23 Shambhavi Dikshit , Shradha Mishra

The dynamics of two Brownian particles trapped by two neighboring harmonic potentials in a linear shear flow is investigated. The positional correlation functions in this system are calculated analytically and analyzed as a function of the…

软凝聚态物质 · 物理学 2010-09-08 Jochen Bammert , Lukas Holzer , Walter Zimmermann

The two-dimensional Active Brownian Particles system is meant to be composed of hard disks, that show excluded volume interactions, usually simulated via molecular dynamics using pure repulsive potentials. We show that the softness of the…

The stochastic motion of a particle with long-range correlated increments (the moving phase) which is intermittently interrupted by immobilizations (the traping phase) in a disordered medium is considered in the presence of an external…

统计力学 · 物理学 2023-08-31 Yingjie Liang , Wei Wang , Ralf Metzler

We study steady-state properties of a bath of active Brownian particles (ABPs) in two dimensions in the presence of two fixed, permeable (hollow) disklike inclusions, whose interior and exterior regions can exhibit mismatching motility…

软凝聚态物质 · 物理学 2021-07-20 Mahmoud Sebtosheikh , Ali Naji