TY  - JOUR
A1  - Dybiec, Bartlomiej
A1  - Capala, Karol
A1  - Chechkin, Aleksei V.
A1  - Metzler, Ralf
T1  - Conservative random walks in confining potentials
T2  - Journal of physics : A, Mathematical and theoretical
N2  - Levy walks are continuous time random walks with spatio-temporal coupling of jump lengths and waiting times, often used to model superdiffusive spreading processes such as animals searching for food, tracer motion in weakly chaotic systems, or even the dynamics in quantum systems such as cold atoms. In the simplest version Levy walks move with a finite speed. Here, we present an extension of the Levy walk scenario for the case when external force fields influence the motion. The resulting motion is a combination of the response to the deterministic force acting on the particle, changing its velocity according to the principle of total energy conservation, and random velocity reversals governed by the distribution of waiting times. For the fact that the motion stays conservative, that is, on a constant energy surface, our scenario is fundamentally different from thermal motion in the same external potentials. In particular, we present results for the velocity and position distributions for single well potentials of different steepness. The observed dynamics with its continuous velocity changes enriches the theory of Levy walk processes and will be of use in a variety of systems, for which the particles are externally confined.
KW  - Levy walk
KW  - conservative random walks
KW  - Levy flight
Y1  - 2018
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/50459
SN  - 1751-8113
SN  - 1751-8121
VL  - 52
IS  - 1
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -