Transport coefficients of d-dimensional inelastic Maxwell models

Physica A: Statistical Mechanics and its Applications

Volumn 321, Issue 3-4, 2003, Pages 442-466

  Santos, Andrés ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Boltzmann equation; Granular gases; Inelastic Maxwell models; Transport coefficients

Indexed keywords

ELASTICITY; ELECTRON ENERGY LEVELS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; MONTE CARLO METHODS;

TRANSPORT COEFFICIENTS;

GAS DYNAMICS;

EID: 0037445962     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(02)01005-1     Document Type: Article

References (59)

1. Chapman S., Cowling T.G. The Mathematical Theory of Nonuniform Gases. 1970;Cambridge University Press, Cambridge, MA.
2. Bird G. Molecular Gas Dynamics and the Direct Simulation of Gas Flows. 1994;Clarendon, Oxford.
3. Alexander F.J., Garcia A.L. Comput. Phys. 11:1997;588.
4. Bhatnagar P.L., Gross E.P., Krook M. Phys. Rev. 94:1954;511.
5. Cercignani C. The Boltzmann Equation and Its Applications. 1988;Springer, New York.
6. Dufty J.W. López de Haro M., Varea C. Lectures on Thermodynamics and Statistical Mechanics. 1990;166-181 World Scientific, Singapore.
7. Montanero J.M., Alaoui M., Santos A., Garzó V. Phys. Rev. E. 49:1994;367.
8. Gómez Ordóñez J., Brey J.J., Santos A. Phys. Rev. A. 39:1989;3038 Gómez Ordóñez J., Brey J.J., Santos A. Phys. Rev. A. 41:1990;810.
9. Gómez Ordóñez J., Brey J.J., Santos A. Phys. Rev. A. 39:1989;3038 Gómez Ordóñez J., Brey J.J., Santos A. Phys. Rev. A. 41:1990;810.
10. Montanero J.M., Garzó V. Phys. Rev. E. 58:1998;1836.
11. Montanero J.M., Santos A., Garzó V. Phys. Fluids. 12:2000;3060. cond-mat/0003364.
12. Malek Mansour M., Baras F., Garcia A.L. Physica A. 240:1997;255.
13. Maxwell J.C. Philos. Trans. Roy. Soc. (London). 157:1867;49 S.G. Brush, Kinetic theory, Irreversible Processes, Vol. 2, Pergamon, Oxford, 1966, reprinted.
14. Maxwell J.C. Philos. Trans. Roy. Soc. (London). 157:1867;49 S.G. Brush, Kinetic theory, Irreversible Processes, Vol. 2, Pergamon, Oxford, 1966, reprinted.
15. Bobylev A.V. Sov. Phys. Dokl. 20:1976;820.
16. Bobylev A.V. Sov. Sci. Rev. C. 7:1988;111.
17. Ernst M.H. Phys. Rep. 78:1981;1.
18. Santos A., Garzó V. Harvey J., Lord G. Rarefied Gas Dynamics. 1995;13-22 Oxford University Press, Oxford.
19. Loose W., Hess S. Phys. Rev. Lett. 58:1987;2443 Loose W., Hess S. Phys. Rev. A. 37:1988;2099.
20. Loose W., Hess S. Phys. Rev. Lett. 58:1987;2443 Loose W., Hess S. Phys. Rev. A. 37:1988;2099.
21. Loose W. Phys. Lett. A. 128:1988;39.
22. Ernst M.H., Brito R. Europhys. Lett. 58:2002;182. cond-mat/0111093.
23. Ernst M.H., Brito R. J. Stat. Phys. 109:2002;407. cond-mat/0112417.
24. Campbell C.S. Annu. Rev. Fluid Mech. 22:1990;57.
25. Brey J.J., Dufty J.W., Santos A. J. Stat. Phys. 87:1997;1051.
26. van Noije T.P.C., Ernst M.H., Brito R. Physica A. 251:1998;266.
27. Herrmann H.J., Luding S. Continuum Mech. Thermodyn. 10:1998;189.
28. Brey J.J., Dufty J.W., Santos A. J. Stat. Phys. 97:1999;281.
29. Brey J.J., Ruiz-Montero M.J., Moreno F. Phys. Rev. E. 58:1997;1836.
30. Montanero J.M., Garzó V., Santos A., Brey J.J. J. Fluid Mech. 389:1999;391.
31. Tij M., Tahiri E.E., Montanero J.M., Garzó V., Santos A., Dufty J.W. J. Stat. Phys. 103:2001;1035. cond-mat/0003374.
32. Bobylev A.V., Carrillo J.A., Gamba I.M. J. Stat. Phys. 98:2000;743.
33. Ben-Naim E., Krapivsky P.L. Phys. Rev. E. 61:2000;R5.
34. Carrillo J.A., Cercignani C., Gamba I.M. Phys. Rev. E. 62:2000;7700.
35. Cercignani C. J. Stat. Phys. 102:2001;1407.
36. Krapivsky P., Ben-Naim E. J. Phys. A: Math. Gen. 35:2002;L147. cond-mat/0111044.
37. Bobylev A.V., Cercignani C. J. Stat. Phys. 106:2002;547.
38. Baldassarri A., Marini Bettolo Marconi U., Puglisi A. Europhys. Lett. 58:2002;14. cond-mat/0111066.
39. Marini Bettolo Marconi U., Puglisi A. Phys. Rev. E. 65:2002;051 305. cond-mat/0112336.
40. Ernst M.H., Brito R. Phys. Rev. E. 65:2002;040301(R).
41. Marini Bettolo Marconi U., Puglisi A. Phys. Rev. E. 66:2002;011 301. cond-mat/0202267.
42. Ben-Naim E., Krapivsky P.L. Phys. Rev. E. 66:2002;011 309. cond-mat/0202332.
43. Ben-Naim E., Krapivsky P.L. Eur. Phys. J. E. 8:2002;507. cond-mat/0203099.
44. Esipov S.E., Pöschel T. J. Stat. Phys. 86:1997;1385.
45. van Noije T.P.C., Ernst M.H. Gran. Matt. 1:1998;57. cond-mat/980342.
46. Brey J.J., Dufty J.W., Kim C.S., Santos A. Phys. Rev. E. 58:1998;4638.
47. Garzó V., Dufty J.W. Phys. Rev. E. 59:1999;5895.
48. Brey J.J., Cubero D. Pöschel T., Luding S. Granular Gases, Lecture Notes in Physics. 2001;59-78 Springer, Berlin.
49. Garzó V., Montanero J.M. Physica A. 313:2002;336. cond-mat/0112241.
50. Montanero J.M., Santos A. Gran. Matt. 2:2000;53. cond-mat/0002323.
51. Evans D.J., Morriss G.P. Statistical Mechanics of Nonequilibrium Liquids. 1990;Academic Press, London.
52. Hoover W.G. Computational Statistical Mechanics. 1991;Elsevier, Amsterdam.
53. Williams D.R.M., MacKintosh F.C. Phys. Rev. E. 54:1996;R9.
54. Williams D.R.M. Physica A. 233:1996;718.
55. Swift M.R., Boamfǎ M., Cornell S.J., Maritan A. Phys. Rev. Lett. 80:1998;4410.
56. van Noije T.P.C., Ernst M.H., Trizac E., Pagonabarraga I. Phys. Rev. E. 59:1999;4326.
57. Bizon C., Shattuck M.D., Swift J.B., Swinney H.L. Phys. Rev. E. 60:1999;4340.
58. Pagonabarraga I., Trizac E., van Noije T.P.C., Ernst M.H. Phys. Rev. E. 65:2002;011 303. cond-mat/0107570.
59. Moon S.J., Shattuck M.D., Swift J.B. Phys. Rev. E. 64:2001;031 303. cond-mat/0105322.