Statistical hydrodynamics of lattice-gas automata
We investigate the space and time behavior of spontaneous thermohydrodynamic fluctuations in a simple fluid modeled by a lattice-gas automaton and develop the statistical-mechanical theory of thermal lattice gases to compute the dynamical structure factor, i.e., the power spectrum of the density cor...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1993 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/58600 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/58600 |
| Access Level: | acceso abierto |
| Palabra clave: | 536 Cellular automata Fluids Termodinámica 2213 Termodinámica |
| Sumario: | We investigate the space and time behavior of spontaneous thermohydrodynamic fluctuations in a simple fluid modeled by a lattice-gas automaton and develop the statistical-mechanical 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 lattice-gas fluctuations is fully compatible with the spectrum obtained from experimental measurements performed in real fluids; (ii) in the long-wavelength limit, the correlations of lattice-gas fluctuations are well described by the Landau-Placzek theory; (iii) at short wavelengths and/or at low densities, good agreement is obtained between the lattice-gas simulation results and the Boltzmann theory. These results provide solid support to the validity of the thermal-lattice-gas automaton as a consistent model system for real fluids. |
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