Statistical hydrodynamics of latticegas automata
Abstract
We investigate the space and time behavior of spontaneous thermohydrodynamic fluctuations in a simple fluid modeled by a latticegas automaton and develop the statisticalmechanical theory of thermal lattice gases to compute the dynamical structure factor, i.e., the power spectrum of the density correlation function. A comparative analysis of the theoretical predictions with our lattice gas simulations is presented. The main results are (i) the spectral function of the latticegas fluctuations is fully compatible with the spectrum obtained from experimental measurements performed in real fluids; (ii) in the longwavelength limit, the correlations of latticegas fluctuations are well described by the LandauPlaczek theory; (iii) at short wavelengths and/or at low densities, good agreement is obtained between the latticegas simulation results and the Boltzmann theory. These results provide solid support to the validity of the thermallatticegas automaton as a consistent model system for real fluids.
 Publication:

Physical Review E
 Pub Date:
 October 1993
 DOI:
 10.1103/PhysRevE.48.2655
 Bibcode:
 1993PhRvE..48.2655G
 Keywords:

 05.20.Dd;
 05.50.+q;
 05.60.+w;
 Kinetic theory;
 Lattice theory and statistics