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We explore the properties of run-and-tumble particles moving in a piecewise-linear "ratchet" potential by deriving analytic results for the system's steady-state probability density, current, entropy production rate, extractable power, and…

Statistical Mechanics · Physics 2023-08-01 Connor Roberts , Zigan Zhen

Run-and-tumble dynamics is a wide-spread mechanism of swimming bacteria. The accumulation of run-and-tumble microswimmers near impermeable surfaces is studied theoretically and numerically in the low-density limit in two and three spatial…

Statistical Mechanics · Physics 2015-03-29 Jens Elgeti , Gerhard Gompper

Run-and-Tumble particles, mimicking the behaviour of microorganisms like E. coli, are a paradigmatic model of active matter. Due to self-propulsion, their random and undirected motion can be rectified in a ratchet potential. Using…

Statistical Mechanics · Physics 2022-04-11 Zigan Zhen , Gunnar Pruessner

We simulate by lattice Boltzmann the nonequilibrium steady states of run-and-tumble particles (inspired by a minimal model of bacteria), interacting by far-field hydrodynamics, subject to confinement. Under gravity, hydrodynamic…

Statistical Mechanics · Physics 2010-07-01 R. W. Nash , R. Adhikari , J. Tailleur , M. E. Cates

Run-and-tumble processes successfully model several living systems. While studies have typically focused on particles with isotropic tumbles, recent examples exhibit "tumble-turns", in which particles undergo 90{\deg} tumbles and so possess…

Soft Condensed Matter · Physics 2024-03-19 Benjamin Loewe , Tyler N. Shendruk

We study the transport of self-propelled particles in dynamic complex environments. To obtain exact results, we introduce a model of run-and-tumble particles (RTPs) moving in discrete time on a $d$-dimensional cubic lattice in the presence…

Statistical Mechanics · Physics 2018-07-12 Thibault Bertrand , Yongfeng Zhao , Olivier Bénichou , Julien Tailleur , Raphaël Voituriez

We propose a model of run-and-tumble particles (RTPs) on a line with a fertile site at the origin. After going through the fertile site, a run-and-tumble particle gives rise to new particles until it flips direction. The process of creation…

Statistical Mechanics · Physics 2021-08-11 Pascal Grange , Xueqi Yao

We study active particles performing independent run and tumble motion on an infinite line with velocities $v_0 \sigma(t)$, where $\sigma(t) = \pm 1$ is a dichotomous telegraphic noise with constant flipping rate $\gamma$. We first consider…

Statistical Mechanics · Physics 2019-07-17 Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

The transport of independent active Brownian particles within a two-dimensional narrow channel, modeled as an open-wedge, is studied both numerically and theoretically. We show that the active force tends to localize the particles near the…

Statistical Mechanics · Physics 2019-05-01 Lorenzo Caprini , Fabio Cecconi , Umberto Marini Bettolo Marconi

We elaborate and validate a generalization of the renowned transition-path-sampling algorithm for a paradigmatic model of active particles, namely the Run-and-Tumble particles. Notwithstanding the non-equilibrium character of these…

Soft Condensed Matter · Physics 2024-11-20 Thomas Kiechl , Thomas Franosch , Michele Caraglio

We consider self-propelled particles undergoing run-and-tumble dynamics (as exhibited by E. coli) in one dimension. Building on previous analyses at drift-diffusion level for the one-particle density, we add both interactions and noise,…

Statistical Mechanics · Physics 2008-08-14 J. Tailleur , M. E. Cates

We consider the unidirectional particle transport in a suspension of colloidal particles which interact with each other via a pair potential having a hard-core repulsion plus an attractive tail. The colloids are confined within a long…

Soft Condensed Matter · Physics 2011-06-24 Andrey Pototsky , Andrew J. Archer , Sergey E. Savel'ev , Uwe Thiele , Fabio Marchesoni

Spontaneous segregation of run-and-tumble particles with different velocities in microchannels is investigated by numerical simulations. Self-propelled particles are known to accumulate in the proximity of walls. Here we show how fast…

Soft Condensed Matter · Physics 2014-09-05 Andrea Costanzo , Jens Elgeti , Thorsten Auth , Gerhard Gompper , Marisol Ripoll

The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Soto , Ramin Golestanian

We numerically examine the transport of active run-and-tumble particles driven with a drift force over random disordered landscapes comprised of fixed obstacles. For increasing run lengths, the net particle transport initially increases…

Soft Condensed Matter · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

Soft Condensed Matter · Physics 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

We numerically examine the driven transport of an overdamped self-propelled particle through a two-dimensional array of circular obstacles. A detailed analysis of transport quantifiers (mobility and diffusivity) has been performed for two…

Soft Condensed Matter · Physics 2023-10-16 Shubhadip Nayak , Sohom Das , Poulami Bag , Tanwi Debnath , Pulak K. Ghosh

Run-and-tumble motion is an example of active motility where particles move at constant speed and change direction at random times. In this work we study run-and-tumble motion with diffusion in a harmonic potential in one dimension via a…

Statistical Mechanics · Physics 2021-07-07 Rosalba Garcia-Millan , Gunnar Pruessner

In this paper we develop a field-theoretic description for run and tumble chemotaxis, based on a density functional description of crystalline materials modified to capture orientational ordering. We show that this framework, with its…

Soft Condensed Matter · Physics 2021-03-10 Purba Chatterjee , Nigel Goldenfeld

Experiments have shown that self-propelled particles can slide along the surface of a circular obstacle without becoming trapped over long times. Using simulations and theory, we study the impact of boundary conditions on the diffusive…

Biological Physics · Physics 2019-01-30 Theresa Jakuszeit , Ottavio A. Croze , Samuel Bell
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