Propagating staggered waves in cellular automata fluids



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Brito, Ricardo and Ernst, M. H. (1991) Propagating staggered waves in cellular automata fluids. Journal of physics A: mathematical and general, 24 (14). pp. 3331-3349. ISSN 0305-4470

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The majority of lattice gases have, apart from the physical conserved quantities of particle number, momentum and energy, spurious ones, usually staggered in space and time. At the level of linear excitations these staggered modes may be purely diffusive or damped propagating waves. In the eight- and nine-bit model on the square lattice we find a large number of new spurious modes and we derive Green-Kubo relations for the diffusivities and damping constants and calculate them in Boltzmann approximation.

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©1991 IOP Publishing Ltd. R B gratefully acknowledges the hospitality of the Institute of Theoretical Physics of the University of Utrecht where part of this work was carried out and also thanks C F Tejero for his encouragement. This work has been partially supported by DGICYT (PB88-0140) and by the Offices for International Relations of The State University of Utrecht and of Universidad Complutense de Madrid. One of us (RB) acknowledges partial support from the Stichting voor Fundamenteel Onderzoek der Materie (FOM) and the ERASMUS fellowship programme.

Uncontrolled Keywords:Time Correlation-Functions, Lattice-Gas Automata, Hydrodynamics, Model
Subjects:Sciences > Physics > Thermodynamics
ID Code:22270
Deposited On:05 Aug 2013 11:43
Last Modified:24 Jul 2018 11:08

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