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Measure theoretic entropy of the system of hard spheres

Published online by Cambridge University Press:  19 September 2008

Maciej P. Wojtkowski
Maciej P. Wojtkowski
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
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Abstract

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We estimate from below the measure theoretic entropy of the system of spheres interacting by elastic collisions. We find the asymptotics of the entropy in the case of two disks on atoms as the radius increases. We establish that high density leads to large entropy. We introduce a general estimate for Lyapunov exponents in the case of special symplectic matrices.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Issue 1 , March 1988 , pp. 133 - 153
Copyright
Copyright © Cambridge University Press 1988

References

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