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From billiards to thermodynamics. (English) Zbl 1364.80002

The authors propose, describe, and investigate numerically a simple stochastic version of billiard systems arising from Hamiltonian mechanical models. In these interacting particles systems, the mechanism of elastic collisions of a point mass with a random thermostat is modeled by a Markov chain process.

MSC:

80A05 Foundations of thermodynamics and heat transfer
60J20 Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)
60J22 Computational methods in Markov chains

References:

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