Abstract
Results of calculations on a model of a radiant cavity, performed in order to explore the relation between stochasticity and geometrical structure of phase space, are presented. The rate of energy exchanges, as indicator of stochasticity, is found to be quite effective. Furthermore, a trend to equipartition for such a quantity is observed at increasing energy, and this implies an increasing rigidity of high harmonic modes also in the stochastic regime of motion. Such a feature may be correlated to the shape of the spectrum which characterizes the radiant cavity with respect to nonlinear chains.
Similar content being viewed by others
References
A. J. Lichtenberg and M. A. Liebermann,Regular and Stochastic Motion (Springer, New York, 1983); B. V. Chirikov,Phys. Rev. 52:263 (1979); D. F. Escande,Phys. Rev. 121:165 (1985); R. Helleman, inFundamental Problems in Statistical Mechanics V, E. G. D. Cohen, ed. (North-Holland, 1980); J. Froelich, T. Spencer, and C. E. Wayne,J. Stat. Phys. 42:247 (1986).
M. Casartelli and S. Sello,Nuovo Cimento 97B:183 (1987); also see M. Casartelli, inAdvances in Nonlinear Dynamics and Stochastic Processes, R. Livi and A. Politi, eds. (World Scientific, Singapore, 1985); M. Casartelli and S. Sello,Phys. Lett. 112A:249 (1985); M. Casartelli and S. Sello, inAdvances in Nonlinear Dynamics and Stochastic Processes, II, G. Paladin and A. Vulpiani, eds. (World Scientific, Singapore, 1987).
P. Bocchieri, A. Crotti, and A. Loinger,Lett. Nuovo Cimento 4:341 (1972).
G. Casati, I. Guarneri, and F. Valz-Gris,Phys. Rev. 16A:1273 (1977);J. Stat. Phys. 30:195 (1983).
G. Benettin and L. Galgani,J. Stat. Phys. 27:153 (1982).
R. Livi, M. Pettini, S. Ruffo, and A. Vulpiani,J. Phys. A 20:577 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Alabiso, C., Casartelli, M. & Sello, S. Equipartition and rate of energy exchanges in a model of a radiant cavity. J Stat Phys 54, 361–377 (1989). https://doi.org/10.1007/BF01023484
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01023484