Overdamped 2D Brownian motion for self-propelled and nonholonomic particles - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2014

Overdamped 2D Brownian motion for self-propelled and nonholonomic particles

Résumé

This paper provides a complete analytical solution to the Brownian motion of a self-propelled particle that moves in two spatial dimensions in the overdamped limit by satisfying kinematic constraints. The analytical expression of any-order moment of the probability distribution is obtained by a direct integration of the Langevin equation. Each moment is expressed as a multiple integral of the active motion performed by the particle. This allows obtaining any order moment for any active motion, i.e., when the particle is propelled by arbitrary time-dependent force and torque. For the special case when the ratio between the force and the torque is constant, the multiple integrals can be easily analytically solved and expressed as the real or the imaginary part of suitable analytic functions. As an application of the derived analytical results, the paper investigates the di usivity of the considered Brownian motion for constant and for arbitrary time-dependent force and torque.
Fichier principal
Vignette du fichier
AM.pdf (403.02 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01096925 , version 1 (18-12-2014)

Identifiants

Citer

Agostino Martinelli. Overdamped 2D Brownian motion for self-propelled and nonholonomic particles. Journal of Statistical Mechanics: Theory and Experiment, 2014, 2014, pp.P03003. ⟨10.1088/1742-5468/2014/03/P03003⟩. ⟨hal-01096925⟩
312 Consultations
249 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More