Brownian motion in non-equilibrium systems and the Ornstein-Uhlenbeck stochastic process.

ABSTRACT: The Ornstein-Uhlenbeck stochastic process is an exact mathematical model providing accurate representations of many real dynamic processes in systems in a stationary state. When applied to the description of random motion of particles such as that of Brownian particles, it provides exact predictions coinciding with those of the Langevin equation but not restricted to systems in thermal equilibrium but only conditioned to be stationary. Here, we investigate experimentally single particle motion in a two-dimensional granular system in a stationary state, consisting of 1 mm stainless balls on a plane circular surface. The motion of the particles is produced by an alternating magnetic field applied perpendicular to the surface of the container. The mean square displacement of the particles is

SUBMITTER: Donado F 

PROVIDER: S-EPMC5626708 | biostudies-literature | 2017 Oct

REPOSITORIES: biostudies-literature