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Related papers: Optimal Ratchet Potentials for Run-and-Tumble part…

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We investigate the behavior of self-propelled particles under cyclic stretching, inspired by the characteristic pattern dynamics observed in microtubule (MT) motility assays subjected to uniaxial cyclic substrate stretching. We develop a…

Soft Condensed Matter · Physics 2025-05-27 Takumi Tagaki , Seiya Nishikawa , Shuji Ishihara

We consider a self-propelled particle system which has been used to describe certain types of collective motion of animals, such as fish schools and bird flocks. Interactions between particles are specified by means of a pairwise potential,…

Analysis of PDEs · Mathematics 2013-03-05 J. A. Carrillo , S. Martin , V. Panferov

We study an active Brownian run-and-tumble particle (ABRTP) model, that consists of an active Brownian run state during which the active velocity of the particle diffuses on the unit circle, and a tumble state during which the active…

Statistical Mechanics · Physics 2025-10-03 Aoran Sun , Da Wei , Yiyu Zhang , Fangfu Ye , Rudolf Podgornik

Here we introduce the concept of "optimal particles" for strong interactions with electromagnetic fields. We assume that a particle occupies a given electrically small volume in space and study the required optimal relations between the…

Classical Physics · Physics 2013-06-25 Younes Ra'di , Sergei A. Tretyakov

We study particle motion in rotating saddle-shaped potentials. It is known that such rotating potentials can generate bounded motion for particles with a parabolic dispersion law through the combination of potential, centrifugal and…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Johan Nilsson

The dynamics of a quantum particle bound by an accelerating delta-functional potential is investigated. Three cases are considered, using the reference frame moving along with the {\delta}-function, in which the acceleration is converted…

Quantum Physics · Physics 2015-05-27 Er'el Granot , Boris Malomed

We consider a run-and-tumble particle (RTP) in one dimension, subjected to a telegraphic noise with a constant rate $\gamma$, and in the presence of an external confining potential $V(x) = \alpha |x|^p$ with $p \geq 1$. We compute the mean…

Statistical Mechanics · Physics 2024-03-25 Mathis Guéneau , Satya N. Majumdar , Gregory Schehr

Shortcut engineering consists of a class of approaches to rapidly manipulate physical systems by means of specially designed external controls. In this Letter, we apply these approaches to run-and-tumble particles, which are designed to…

Statistical Mechanics · Physics 2023-04-13 Adam G. Frim , Michael R. DeWeese

Run-and-tumble motility is widely used by swimming microorganisms including numerous prokaryotic eukaryotic organisms. Here, we experimentally investigate the run-and-tumble dynamics of the bacterium E. coli in polymeric solutions. We find…

Fluid Dynamics · Physics 2015-11-04 A. E. Patteson , A. Gopinath , M. Goulian , P. E. Arratia

The probability density of a quantum particle moving freely within a circular ring can exhibit local flow patterns inconsistent with its angular momentum, a phenomenon known as quantum backflow. In this study, we examine a quantum particle…

Quantum Physics · Physics 2024-08-13 Arseni Goussev , Felix Quinque , Jaewoo Joo , Andrew Burbanks

When it comes to active particles, even an ideal-gas model in a harmonic potential poses a mathematical challenge. An exception is a run-and-tumble model (RTP) in one-dimension for which a stationary distribution is known exactly. The case…

Statistical Mechanics · Physics 2023-09-25 Derek Frydel

In this work, we investigated the motion of spinning test particles around a rotating wormhole, extending, in this way, the previous work of Benavides-Gallego et al. in [Phys. Rev. D 101, no.12, 124024] to the general case. Using the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Farrux Abdulxamidov , Carlos A. Benavides-Gallego , Wen-Biao Han , Javlon Rayimbaev , Ahmadjon Abdujabbarov

Recently we studied $N$ run-and-tumble particles in one dimension - which switch with rate $\gamma$ between driving velocities $\pm v_0$ - interacting via the long range 1D Coulomb potential (also called rank interaction), both in the…

Statistical Mechanics · Physics 2025-02-14 Léo Touzo , Pierre Le Doussal

We perform a study to describe motion of charged particles under the influence of electromagnetic and gravitational fields of a slowly rotating wormhole with nonvanishing magnetic moment. We present analytic expression for potentials of…

General Relativity and Quantum Cosmology · Physics 2009-05-27 A. A. Abdujabbarov , B. J. Ahmedov

The motion of self-propelled particles can be rectified by asymmetric or ratchet-like periodic patterns in space. Here we show that a non-zero average drift can already be induced in a periodic potential with symmetric barriers when the…

Statistical Mechanics · Physics 2015-06-15 Andrey Pototsky , Aljoscha M. Hahn , Holger Stark

Humans will launch spacecraft that travel at an appreciable fraction of the speed of light. Spacecraft traffic will be tracked by radar. Scattering of pulsed electromagnetic fields by an object in uniform translational motion at…

In pulsating active matter, topological defects are motile despite the absence of any macroscopic flows and microscopic self-propulsion. We reveal that this motility arises from a ratchet effect: the mechanochemical coupling between local…

Soft Condensed Matter · Physics 2026-05-26 Luca Casagrande , Alessandro Manacorda , Etienne Fodor

In this paper we study the maximal position process of branching Brownian motion in random spatial environment. The random environment is given by a process $\xi = \left(\xi(x)\right)_{x\in\mathbb{R}}$ satisfying certain conditions. We show…

Probability · Mathematics 2022-06-17 Haojie Hou , Yan-Xia Ren , Renming Song

We study the transport properties for a walker on a ratchet potential. The walker consists of two particles coupled by a bistable potential that allow the interchange of the order of the particles while moving through a one-dimensional…

Adaptation and Self-Organizing Systems · Physics 2012-01-24 José L. Mateos , Fernando R. Alatriste

The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson