Publication: Driven inelastic Maxwell models with high energy tails
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2002-04
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American Physical Society
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Abstract
The solutions of the homogeneous nonlinear Boltzmann equation for inelastic Maxwell models, when driven by different types of thermostats, show, in general, overpopulated high energy tails of the form similar toexp(-ac), with power law tails and Gaussian tails as border line cases. The results are compared with those for inelastic hard spheres, and a comprehensive picture of the long time behavior in freely cooling and driven inelastic systems is presented.
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©2002 The American Physical Society. The authors acknowledge financial support from DGES (Spain) Grant Nº BFM-2001 0291.
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[1] G.P. Collins, Sci. Am. 284 (1), 17 (2001).
[2] A. Baldassarri, U. Marini Bettolo Marconi, and A. Puglisi, (a) e-print cond-mat/0105299; (b) e-print cond-mat/0111066; (c) (private communication).
[3] E. Ben-Naim and P.L. Krapivsky, Phys. Rev. E 61, R5 (2000); P.L. Krapivsky and E. Ben-Naim, e-print cond-mat/0111044.
[4] M.H. Ernst and R. Brito, (a) e-print cond mat/0111093; (b) e-print cond-mat/0112417.
[5] S.E. Esipov and T. Pöschel, J. Stat. Phys. 86, 1395 (1997).
[6] T.P.C. van Noije and M.H. Ernst, Granular Matter 1, 57 (1998); e-print cond-mat/9803042.
[7] J.J. Brey, M.J. Ruiz-Montero, and D. Cubero, Phys. Rev. E 54, 3664 (1996).
[8] J.M. Montanero and A. Santos, Granular Matter 2, 53 (2000); e-print cond-mat/0002323.
[9] A. Barrat, T. Biben, Z. Racz, E. Trizac, and F. van Wijland, e-print cond-mat/0110345.
[10] J.A. Carrillo, C. Cercignani, and I.M. Gamba, Phys. Rev. E 62, 7700 (2000).
[11] Th. Biben, Ph. A. Martin, and J. Piasecki, Physica A (to be Published).
[12] T.P.C. van Noije, M.H. Ernst, E. Trizac, and I. Pagonabarraga, Phys. Rev. E 59, 4326 (1999).
[13] I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).
[14] A.V. Bobylev and C. Cercignani (unpublished).
[15] A.V. Bobylev, J.A. Carrillo, and I.M. Gamba, J. Stat. Phys. 98, 743 (2000).
[16] D. Evans and G.P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic Press, London, 1990).
[17] D.R.M. Williams and F.C. MacKintosh, Phys. Rev. E 54, R9 (1996).
[18] I. Pagonabarraga, E. Trizac, T.P.C. van Noije, and M.H. Ernst, e-print cond-mat/0107570.
[19] C. Bizon, M.D. Shattuck, J.B Swift, and H.L. Swinney, Phys. Rev. E 60, 4340 (1999).
[20] L. Acedo, A. Santos, and A.V. Bobylev, e-print cond-mat/0109490.
[21] T. Krook and T.T. Wu, Phys. Rev. Lett. 36, 1107 (1976).
[22] M.H. Ernst, Phys. Rep. 78, 1 (1981).
[23] B. Nienhuis (private communication).