A Dynamical Classification of the Range of Pair Interactions

Journal of Statistical Physics

Volumn 141, Issue 6, 2010, Pages 970-989

  Gabrielli, A ^a,b   Joyce, M ^c,d   Marcos, B ^e   Sicard, F ^c  

^a ISC CNR   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c UNIVERSITÉ PARIS DIDEROT   (France)

^d UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^e UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

Author keywords

Classification; Clustering dynamics; Long range interactions; Thermodynamic limit

Indexed keywords

EID: 78649766694     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-010-0090-x     Document Type: Article

References (32)

1. Ruelle, D.: Statistical Mechanics: Rigorous Results. Benjamin, Elmsford (1983).
2. Dauxois, T., Ruffo, S., Arimondo, E., Wilkens, M.: Dynamics and Thermodynamics of Systems with Long Range Interactions. Springer, Berlin (2002).
3. Campa, A., Giansanti, A., Morigi, G., Sylos Labini, F.: Dynamics and Thermodynamics of Systems with Long Range Interactions: Theory and Experiments. AIP Conference Proceedings. AIP, New York (2008).
4. Thirring, W.: Quantum Mathematical Physics. Springer, Berlin (2002).
5. Chavanis, P. H.: Int. J. Mod. Phys. B 20, 3113 (2006).
6. Yawn, K. R., Miller, B. N.: Phys. Rev. E 68, 056120 (2003).
7. Yamaguchi, Y. Y., Barré, J., Bouchet, F., Dauxois, T., Ruffo, S.: Physica A 337, 36 (2004). cond-mat/0312480.
8. Antoniazzi, A., Califano, F., Fanelli, D., Ruffo, S.: Phys. Rev. Lett. 98, 150602 (2007).
9. Antoniazzi, A., Fanelli, D., Ruffo, S., Yamaguchi, Y. Y.: Phys. Rev. Lett. 99, 040601 (2007).
10. Yamaguchi, Y. Y.: Phys. Rev. E 78, 041114 (2008).
11. Binney, J., Tremaine, S.: Galactic Dynamics. Princeton University Press, Princeton (1994).
12. Campa, A., Giansanti, A., Morelli, G.: Phys. Rev. E 76, 041117 (2007). 0706. 3664.
13. Baldovin, F., Chavanis, P., Orlandini, E.: Phys. Rev. E 79, 011102 (2009). cond-mat/0501583.
14. Chavanis, P.: J. Stat. Mech. Theory Exp. 5, 19 (2010). 1002. 3268.
15. Teles, T. N., Levin, Y., Pakter, R., Rizzato, F. B.: J. Stat. Mech. 5, 7 (2010). 1004. 0247.
16. Gupta, S., Mukamel, D.: Phys. Rev. Lett. 105, 040602 (2010). 1006. 0233.
17. Chandrasekhar, S.: Rev. Mod. Phys. 15, 1 (1943).
18. Gabrielli, A., Sylos Labini, F., Joyce, M., Pietronero, L.: Statistical Physics for Cosmic Structures. Springer, Berlin (2004).
19. Balescu, R.: Equilibrium and Nonequilibrium Statistical Mechanics. Wiley, New York (1975).
20. Lanford, O. E. III: Commun. Math. Phys. 9, 176 (1968).
21. Lanford, O. E. III: Commun. Math. Phys. 11, 257 (1969).
22. Gabrielli, A., Joyce, M.: Phys. Rev. E 81, 021102 (2010). 0909. 5034.
23. Kiessling, M. K.-H.: Adv. Appl. Math. 31, 132 (2003). astro-ph/9910247.
24. Jeans, J. H.: Philos. Trans. R. Soc. 199, 1 (1902).
25. Wesenberg, J. H., Mølmer, K.: Phys. Rev. Lett. 93, 143903 (2004). quant-ph/0406178.
26. Gabrielli, A.: Phys. Rev. E 72, 066113 (2005). cond-mat/0506365.
27. Gabrielli, A., Baertschiger, T., Joyce, M., Marcos, B., Labini, F. S.: Phys. Rev. E 74, 021110 (2006). cond-mat/0603124.
28. Kolmogorov, A., Fomin, S.: Elements of the Theory of Functions and Functional Analysis. Dover, New York (1999).
29. Peebles, P. J. E.: The Large-Scale Structure of the Universe. Princeton University Press, Princeton (1980).
30. Gabrielli, A., Joyce, M., Marcos, B.: (2010). 1004. 5119.
31. Chavanis, P. H.: Eur. Phys. J. B 70, 413 (2009). 0810. 1211.
32. Gabrielli, A., Joyce, M., Sicard, F.: Phys. Rev. E 80, 041108 (2009).