On the long time behavior of a particle in an infinitely extended system in one dimension

Journal of Statistical Physics

Volumn 106, Issue 3-4, 2002, Pages 663-680

  Caglioti, E ^a   Marchioro, C ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Infinite dynamics; Long time behavior

Indexed keywords

EID: 0036102145     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013766507734     Document Type: Article

References (8)

1. E. Caglioti, C. Marchioro, and M. Pulvirenti, Non-equilibrium dynamics of three-dimensional infinite particle systems, Comm. Math. Phys. 215:25-43 (2000).
2. R. L. Dobrushin and J. Fritz, Non-equilibrium dynamics of one-dimensional infinite particle systems with a hard-core interaction, Comm. Math. Phys. 55:275-292 (1977).
3. J. Fritz and R. L. Dobrushin, Non-equilibrium dynamics of two-dimensional infinite particle systems with a singular interaction, Comm. Math. Phys. 57:67-81 (1977).
4. O. E. Lanford, Classical mechanics of one-dimensional systems with infinitely many particles. I. An existence theorem, Comm. Math. Phys. 9:176-191 (1968).
5. O. E. Lanford, Classical mechanics of one-dimensional systems with infinitely many particles. II. Kinetic Theory, Comm. Math. Phys. 11:257-292 (1969).
6. C. Marchioro, A. Pellegrinotti, and M. Pulvirenti, Remarks on the existence of non-equilibrium dynamics, Proceedings Esztergom Summer School, Coll. Math. Soc. Janos Bolyai 27:733-746 (1978).
7. C. Marchioro and M. Pulvirenti, Time evolution of infinite one-dimensional Coulomb systems, J. Statist. Phys. 27:809-822 (1982).
8. Ya. G. Sinai and M. Solovievich, One-dimensional classical massive particle in the ideal gas, Comm. Math. Phys. 104:423-443 (1986).