Volume 130, Number 4, May 2020
|Number of page(s)||7|
|Published online||16 June 2020|
Velocity and diffusion constant of an active particle in a one-dimensional force field
1 Laboratoire de Physique de l'Ecole Normale Supérieure, PSL University, CNRS, Sorbonne Universités 24 rue Lhomond, 75231 Paris, France
2 LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay - 91405 Orsay, France
Received: 8 April 2020
Accepted: 25 May 2020
We consider a run-and-tumble particle with two velocity states , in an inhomogeneous force field f(x) in one dimension. We obtain exact formulae for its velocity VL and diffusion constant DL for arbitrary periodic f(x) of period L. They involve the “active potential” which allows to define a global bias. Upon varying parameters, such as an external force F, the dynamics undergoes transitions from non-ergodic trapped states, to various moving states, some with non-analyticities in the VL vs. F curve. A random landscape in the presence of a bias leads, for large L, to anomalous diffusion , , or to a phase with a finite velocity that we calculate.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 71.55.Jv – Disordered structures; amorphous and glassy solids
© EPLA, 2020
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.