Publication: Propagating staggered waves in cellular automata fluids
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1991-07-21
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IOP Publishing
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Abstract
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.
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[1] Frisch U., Hasslacher B. and Pomeau Y., 1986, Phys. Rev. Lett., 56, 1505
[2] 1990, Lattice Gas Methods for Partial Differential Equations, ed. G.D. Doolen (Reading, MA: Addison-Wesley)
[3] Kadanoff L.P., McNamara G. and Zanetti G., 1989, Phys. Rev. A, 40, 4527
[4] Chopard B. and Droz M., 1988, Phys. Lett., 126A, 476
[5] d'Humières D., Lallemand P. and Frisch U., 1986, Europhys. Lett., 2, 291
[6] Chen S., Lee M., Zhao K. H. and Doolen G. D., 1989, Physica D, 37, 42
[7] BinderP. M. and Emst M. H., 1990, Physica A, 184, 91
[8] Ernst M. H., 1991 Liquids, Freezing and the Glass Transition, ed. D. Levesque, J. P. Hansen and J. Zinn-Justin, Les Houches, Session LI, 1989, (New York: Elsevier)
[9] Qian Y. H., 1991, PhD dissertation Universitè Pierre et Marie Curie
[10] d'Humières D., Qian Y. H. and Lallemand P., 1989, Discrete Kinetic Theory, Lattice Gas Dynamics and Foundations of Hydrodynamics, ed. R. Monaco (Singapore: World Scientific)
[11] Zanetti G., 1989, Phys. Rev. A, 40, 1539
[12] Naitoh T., Ernst M.H. and Dufty J.W., 1990, Phys. Rev. A, 42, 7187
[13] Hardy J., Pomeau Y. and de Pazzis O., 1973, J. Math. Phys., 14. 1746. Hardy J., de Pazzzis O. and Pomeau Y., 1976, Phys. Rev. A, 13, 1949. Arial
[14] Frisch U., d'Humières D., Hasslacher B., Lallemand P., Pomcau Y. and Rivet J. P., 1987, Complex Systems, 1, 649
[15] Ernst M. H. and van Velzen G. A., 1989, J. Stat. Phys., 57, 455
[16] Ernst M.H. and Dufty J.W., 1990, J. Stat. Phys., 58, 57
[17] Brito R., Ernst M.H. and Kirkpatrick T.R., 1991, J. Stat. Phys., 62, 283
[18] Ernst M.H., 1990, Fundamental Problems in Statistical Mechanics, vol. VII ed. H. van Beijeren (Amsterdam: North-Holland) p. 321
[19] Wolfram S., 1986, J. Stat. Phys., 45, 471
[20] Ernst M.H. and Dorfman J.R., 1975, J. Stat. Phys., 12, 311
[21] Das S.P. and Ernst M.H. to be published
[22] Ernst M.H., 1991, Discrete Models of Fluid Dynamics, ed. A.S.Alves (Singapore: World Scientific)