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We study analytically the dynamics of anisotropic active Brownian particles (ABPs), and more precisely their intermediate scattering function (ISF). To this end, we develop a systematic closure scheme for the moment expansion of their…

Soft Condensed Matter · Physics 2025-10-01 Timothée Gautry , Maxime Deforet , Pierre Illien

Randomly moving active particles can be herded into directed motion by asymmetric geometric structures. Although such a rectification process has been extensively studied due to its fundamental, biological, and technological relevance, a…

Soft Condensed Matter · Physics 2026-03-31 Satyam Anand , Xiaolei Ma , Shuo Guo , Stefano Martiniani , Xiang Cheng

We study the dynamics of the separation (gap) between a pair of interacting run and tumble particles (RTPs) moving in one dimension in the presence of additional thermal noise. On a ring geometry the distribution of the gap approaches a…

Statistical Mechanics · Physics 2020-08-26 Arghya Das , Abhishek Dhar , Anupam Kundu

Under rapid undercooling, glass forming liquids freeze in an amorphous state that can equilibrate only on enormously long time-scales, This is the characteristic sign of aging, which has been observed in a wide range of systems. Brownian…

Statistical Mechanics · Physics 2023-03-01 Karina I Mazzitello , Daniel G Zarlenga , Fereydoon Family , Constancio M Arizmendi

We consider the overdamped motion of Brownian particles, interacting via particle exclusion, in an external potential that varies with time and space. We show that periodic potentials that maintain specific position-dependent phase…

Statistical Mechanics · Physics 2011-05-09 Debasish Chaudhuri , Abhishek Dhar

We investigate a diffusive motion of a system of interacting Brownian particles in quasi-one-dimensional micropores. In particular, we consider a semi-infinite 1D geometry with a partially absorbing boundary and the hard-core inter-particle…

Statistical Mechanics · Physics 2012-03-06 Artem Ryabov , Petr Chvosta

We study the extreme value statistics of a run and tumble particle (RTP) in one dimension till its first passage to the origin starting from the position $x_0~(>0)$. This model has recently drawn a lot of interest due to its biological…

Statistical Mechanics · Physics 2022-12-07 Prashant Singh , Saikat Santra , Anupam Kundu

In a theoretical and simulation study, active Brownian particles (ABPs) in three-dimensional bulk systems are exposed to time-varying sinusoidal activity waves that are running through the system. A linear response (Green-Kubo) formalism is…

Soft Condensed Matter · Physics 2018-06-13 Holger Merlitz , Hidde Vuijk , Joseph Brader , Abhinav Sharma , Jense-Uwe Sommer

We study the diffusive behavior of biased Brownian particles in a two dimensional confined geometry filled with the freezing obstacles. The transport properties of these particles are investigated for various values of the obstacles density…

Biological Physics · Physics 2020-07-16 Narender Khatri , P. S. Burada

We study the transport of inertial Brownian particles in steady laminar flows in the presence of two-dimensional Gaussian potentials. Through extensive numerical simulations, it is found that the transport is sensitively dependent on the…

Soft Condensed Matter · Physics 2019-09-23 Jian-Chun Wu , Meng An , Wei-Gang Ma

We study the position distribution of a single active Brownian particle (ABP) on the plane. We show that this distribution has a compact support, the boundary of which is an expanding circle. We focus on a short-time regime and employ the…

Statistical Mechanics · Physics 2020-08-19 Satya N. Majumdar , Baruch Meerson

The extreme value statistics of active matter offer significant insight into their unique properties. A phase transition has recently been reported in a model of branching run-and-tumble particles, describing the spatial spreading of an…

Statistical Mechanics · Physics 2020-06-11 Bertrand Lacroix-A-Chez-Toine , Asaf Miron

Active matter systems are driven out of equilibrium by conversion of energy into directed motion locally on the level of the individual constituents. In the spirit of a minimal description, active matter is often modeled by so-called active…

Statistical Mechanics · Physics 2021-01-12 Lennart Dabelow , Ralf Eichhorn

Single-file transport in pore-like structures constitute an important topic for both theory and experiment. For hardcore interacting particles, a good understanding of the collective dynamics has been achieved recently. Here we study how…

Statistical Mechanics · Physics 2021-12-28 Alexander P. Antonov , Artem Ryabov , Philipp Maass

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

Chemotactic active particles, such as bacteria and cells, exhibit an adaptive run-and-tumble motion, giving rise to complex emergent behaviors in response to external chemical fields. This motion is generated by the conversion of internal…

Soft Condensed Matter · Physics 2024-02-06 Minh D. N. Nguyen , Phuc H. Pham , Khang V. Ngo , Van H. Do , Shengkai Li , Trung V. Phan

Individual movements of a rod-like self-propelled particle on a flat substrate are quantified. Biological systems that fit into this description may be the Gram-negative delta-proteobacterium Myxococcus xanthus, Gram-negative bacterium…

Biological Physics · Physics 2012-05-03 Gulmammad Mammadov

In this note a notion of generalized topological entropy for arbitrary subsets of the space of all sequences in a compact topological space is introduced. It is shown that for a continuous map on a compact space the generalized topological…

Dynamical Systems · Mathematics 2024-10-29 Maysam Maysami Sadr , Mina Shahrestani

In the present work, with the intent of exploring the out-of-equilibrium polymerization of active patchy particles in linear chains, we study a suspension of active bivalent Brownian particles (ABBPs). At all studied temperatures and…

Soft Condensed Matter · Physics 2024-11-19 Caterina Landi , John Russo , Francesco Sciortino , Chantal Valeriani

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…

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