Adiabatic piston as a dynamical system

Journal of Statistical Physics

Volumn 116, Issue 1-4, 2004, Pages 815-820

  Neishtadt, A I ^a   Sinai, Y G ^b  

^a Russian Academy of Sciences ^*  (Russian Federation)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

adiabatic invariant; adiabatic piston; averaging method

Indexed keywords

EID: 4344712805     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOSS.0000037222.64432.62     Document Type: Article

References (9)

1. D. V. Anosov, Averaging in systems of ordinary differential equations with rapidly oscillating solutions, Izv. Akad. Nauk SSSR, Ser. Mat. 24:721-742 (1960).
2. V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations (Springer-Verlag, 1983), p. 334.
3. N. I. Chernov, J. L. Lebowitz, and Y. G. Sinai, Dynamics of a massive piston in an ideal gas, Russian Math. Surveys 57:1045-1125 (2002).
4. C. Gruber, Thermodynamics of systems with internal adiabatic constraints: Time evolution of the adiabatic piston, European J. Phys. 20:259-266 (1999).
5. Hard Ball Systems and Lorentz Gas, Encyclopaedia Math. Sci., Vol. 101 (Springer-Verlag, 2000).
6. T. Kasuga, On the adiabatic theorem for the Hamiltonian system of differential equations in classical mechanics. I, II, III, Proc. Japan Acad. 37:366-382 (1961).
7. E. Lieb, Some problems in statistical mechanics that I would like to see solved, Phys. A 263:491-499 (1999).
8. J. L. Lebowitz, J. Piasecki, and Y. G. Sinai, Scaling dynamics of a massive piston in an ideal gas, in Hard Ball Systems and Lorentz Gas, Encyclopaedia Math. Sci., Vol. 101 (Springer-Verlag, 2000), pp. 217-227.
9. Y. G. Sinai, Dynamics of a massive particle surrounded by a finite number of light particles, Theor. Math. Phys. 125:1351-1357 (1999).