Mean-field model of free-cooling inelastic mixtures

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 5, 2002, Pages

  Marconi, Umberto Marini Bettolo ^a,b   Puglisi, Andrea ^b,c  

^a UNIVERSITY OF CAMERINO   (Italy)

^b INFM   (Italy)

^c UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITION; COMPUTER SIMULATION; KINETIC ENERGY; MATHEMATICAL MODELS; MIXTURES; STATISTICAL METHODS; THERMODYNAMICS;

ANALOGY; GRANULAR ASSEMBLIES; MAXWELL MODELS; SPECIES;

GRANULAR MATERIALS;

EID: 41349086155     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.051305     Document Type: Article

References (26)

1. A. B. Pippard, The Elements of Classical Thermodynamics (Cambridge University Press, Cambridge, England, 1957).
2. A. Mehta and S. F. Edwards, Physica A 157, 1091 (1989).
3. S. Ogawa, in Proceedings of US-Japan Symposium on Continuum Mechanics and Statistical Approaches to the Mechanics of Granular Media, edited by S. C. Cowin and M. Satake (Fukyu-kai, 1978), p. 08.
4. M. H. Ernst, Phys. Rep. 78, 1 (1981).
5. A. V. Bobylev, Sov. Phys. Dokl. 20, 820 (1976).
6. J. A. Carrillo, C. Cercignani, and I. M. Gamba, Phys. Rev. E 62, 7700 (2000).
7. E. Ben-Naim and P. L. Krapivsky, Phys. Rev. E 61, R5 (2000).
8. A. Baldassarri, U. Marini Bettolo Marconi, and A. Puglisi, Europhys. Lett. 58, 14 (2002).
9. M. H. Ernst and R. Brito, e-print cond-mat/01110393.
10. T. P. C. VanJoije, M. H. Ernst, R. Brito, and J. A. G. Orza, Phys. Rev. Lett. 79, 411 (1997).
11. A. Baldassarri, U. Marini Bettolo Marconi, and A. Puglisi, Phys. Rev. E (to be published), e-print cond-mat/0105299.
12. U. Marini Bettolo Marconi, A. Baldassarri, and A. Puglisi, Adv. Complex Syst. 4, 321 (2001).
13. V. Garzó and J. Dufty, Phys. Rev. E 60, 5706 (1999).
14. K. Feitosa and N. Menon, e-print cond-mat/0111391.
15. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
16. For a recent and comprehensive review of the nonextensive statistics see: C. Tsallis, Brazilian Journal of Physics, 29, 1 (1999).
17. A. B. Migdal, Qualitative Methods in Quantum Theory (Addison-Wesley, Reading, MA, 1989).
18. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, England, 1958).
19. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, Auckland, 1978).
20. P. L. Krapivsky and E. Ben-Naim, e-print cond-mat/0111044.
21. M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
22. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, London, 1980).
23. C. Beck, Phys. Rev. Lett. 87, 180601 (2001).
24. U. Marini Bettolo Marconi and A. Puglisi (unpublished).
25. U. Marini Bettolo Marconi, R. Pagnani, and A. Puglisi (unpublished).
26. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).