Eur. Phys. J. B 39, 241-247 (2004)
https://doi.org/10.1140/epjb/e2004-00187-8

A lattice Boltzmann model with random dynamical constraints

¹ Istituto Applicazioni Calcolo, CNR, Sezione di Bari, Via Amendola 122/D, 70126 Bari, Italy
² Istituto Applicazioni Calcolo, CNR, V.le del Policlinico 137, 00161 Roma, Italy

Corresponding authors: ^a a.lamura@area.ba.cnr.it - ^b succi@iac.rm.cnr.it

Received: 22 December 2003
Revised: 19 March 2004
Published online: 29 June 2004

Abstract

In this paper we introduce a modified lattice Boltzmann model (LBM) with the capability of mimicking a fluid system with dynamic heterogeneities. The physical system is modeled as a one-dimensional fluid, interacting with finite-lifetime moving obstacles. Fluid motion is described by a lattice Boltzmann equation and obstacles are randomly distributed semi-permeable barriers which constrain the motion of the fluid particles. After a lifetime delay, obstacles move to new random positions. It is found that the non-linearly coupled dynamics of the fluid and obstacles produces heterogeneous patterns in fluid density and non-exponential relaxation of two-time autocorrelation function.