Producción Científica Profesorado

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

Donado Pérez, Fernando


Donado, F., Moctezuma, R. E., López-Flores, L., Medina-Noyola, M., & Arauz-Lara, J. L. (2017). Brownian motion in non-equilibrium systems and the Ornstein-Uhlenbeck stochastic process. Scientific reports, 7, 12614.


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 measured for a range of low concentrations and it is found that following an appropriate scaling of length and time, the short-time experimental curves conform a master curve covering the range of particle motion from ballistic to diffusive in accordance with the description of the Ornstein-Uhlenbeck model.

Producto de Investigación

Artículos relacionados

A Proposal to Extend Duality in String Theory in Three Dimensions

Efectos De Una Interacción No Conmutativa En La Radiación De Hawking

Fluido magneto reológico bajo perturbaciones magnéticas

A Fuzzy Control for Optimizing the Design of Passive Electrical Circuits

Extended T-Duality In Three Dimensions

On time-optimal procedure for analog system design

5D gravitational waves from complexified black rings

Sobre las dimensiones extras espaciales