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Related papers: Anisotropic Brownian particles under resetting

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We consider a two-type reducible branching Brownian motion, defined as a particle system on the real line in which particles of two types move according to independent Brownian motion and create offspring at constant rate. Particles of type…

Probability · Mathematics 2021-04-08 Mohamed Ali Belloum , Bastien Mallein

We revisit the problem of diffusion in a driven system consisting of an inertial Brownian particle moving in a symmetric periodic potential and subjected to a symmetric time-periodic force. We reveal parameter domains in which diffusion is…

Statistical Mechanics · Physics 2022-11-23 I. G. Marchenko , A. Zhiglo , V. Aksenova , V. Tkachenko , I. I. Marchenko , J. Łuczka , J. Spiechowicz

Recently, a new formalism describing the anomalous diffusion processes, based on the Onsager-Machlup fluctuation theory, has been suggested \cite{Smain, Spub}. We study particles performing this new type of motion, under the action of…

Statistical Mechanics · Physics 2025-08-26 A. S. Bodrova , S. I. Serdyukov

Motion under stochastic resetting serves to model a myriad of processes in physics and beyond, but in most cases studied to date resetting to the origin was assumed to take zero time or a time decoupled from the spatial position at the…

Statistical Mechanics · Physics 2020-10-27 Arnab Pal , Łukasz Kuśmierz , Shlomi Reuveni

The model of Brownian Percolation has been introduced as an approximation of discrete last-passage percolation models close to the axis. It allowed to compute some explicit limits and prove fluctuation theorems for these, based on the…

Probability · Mathematics 2010-09-29 Gregorio R. Moreno Flores

Inertial effects should be considered for micro- and nano-swimmers moving in a low-density medium confined by irregular structures that create entropic barriers, where viscous effects are no longer paramount. Here, we present a separation…

Soft Condensed Matter · Physics 2024-05-03 Narender Khatri

The effects of Poissonian resetting at a constant rate $r$ on the reaction time between a Brownian particle and a stochastically gated target are studied. The target switches between a reactive state and a non-reactive one. We calculate the…

Statistical Mechanics · Physics 2021-10-11 Gabriel Mercado-Vásquez , Denis Boyer

Recently, clustering of inertial particles in turbulence has been thoroughly analyzed for statistically homogeneous isotropic flows. Phenomenologically, spatial homogeneity of particles configurations is broken by the advection of a range…

Chaotic Dynamics · Physics 2015-05-13 P. Gualtieri , F. Picano , C. M. Casciola

We investigate a diffusion process in heterogeneous media where particles stochastically reset to their initial positions at a constant rate. The heterogeneous media is modeled using a spatial-dependent diffusion coefficient with a…

Statistical Mechanics · Physics 2022-01-17 M. K. Lenzi , E. K. Lenzi , L. M. S. Guilherme , L. R. Evangelista , H. V. Ribeiro

Active and diffusive motion in Brownian particles are regularly observed in fluidic environments, albeit at different time scales. Here, we experimentally study the dynamics of highly asymmetric microclusters trapped in air employing…

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

One of the characteristic features of a stochastic process under resetting is that the probability density converges to a nonequilibrium stationary state (NESS). In addition, the approach to the stationary state exhibits a dynamical phase…

Statistical Mechanics · Physics 2021-09-01 Paul C Bressloff

Resetting or restart, when applied to a stochastic process, usually brings its dynamics to a time-independent stationary state. In turn, the optimal resetting rate makes the mean time to reach a target to be the shortest one. These and…

Statistical Mechanics · Physics 2022-08-31 Przemyslaw Chelminiak

In this work, the ratchet dynamics of Brownian particles driven by an external sinusoidal (harmonic) force is investigated. The gating ratchet effect is observed when another harmonic is used to modulate the spatially symmetric potential in…

Statistical Mechanics · Physics 2015-03-24 Luis Dinis , Niurka R. Quintero

We study the problem of a target search by a Brownian particle subject to stochastic resetting to a pair of sites. The mean search time is minimized by an optimal resetting rate which does not vary smoothly, in contrast with the well-known…

Statistical Mechanics · Physics 2024-02-28 Pedro Julián-Salgado , Leonardo Dagdug , Denis Boyer

Drying of particle suspensions is an ubiquitous phenomenon with many natural and practical applications. In particular, in unidirectional drying, the evaporation of the solvent induces flows which accumulate particles at the liquid/air…

Soft Condensed Matter · Physics 2017-11-21 Cécile Noirjean , Moreno Marcellini , Tom Kodger , Cécile Monteux , Sylvain Deville

This article reports the modeling of inertial rotational Brownian motion as an Ornstein-Uhlenbeck process evolving on the cotangent bundle of the rotation group, SO(3). The benefit of this approach and the use of a different…

Statistical Mechanics · Physics 2023-03-14 Amitesh S. Jayaraman , Jikai Ye , Gregory S. Chirikjian

We study quantum transport in anisotropic 3D disorder and show that non rotation invariant correlations can induce rich diffusion and localization properties. For instance, structured finite-range correlations can lead to the inversion of…

Disordered Systems and Neural Networks · Physics 2012-09-17 Marie Piraud , Luca Pezzé , Laurent Sanchez-Palencia

A model of 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, is discussed. The general dynamics outlined in Sect. 2 is…

Statistical Mechanics · Physics 2009-10-31 Benno Tilch , Frank Schweitzer , Werner Ebeling

Microstructural dynamics in amorphous particle packings is commonly probed by quantifying particle displacements. While rigidity in particle packings emerges when displacement of particles are hindered, it is not obvious how the typically…

Soft Condensed Matter · Physics 2021-11-30 Dong Wang , Nima Nejadsadeghi , Yan Li , Shashi Shekhar , Anil Misra , Joshua A. Dijksman