On the Misra-Prigogine-Courbage Theory of Irreversibility

Abstract

Stochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov  processes which are ergodic into a “strong” sense are shown to be suitable models for the thermodynamic irreveribility. These processes are also isomorphic, in the Doob sense, with Bernoulli dynamical systems defined into the space of trajectories. In this approach, we show that the Misra Prigogine-Courbage theory of irreversibility can be formulated as a change of representation of strong ergodic Markov processes. The physically meaning is that all experimentally observed strong ergodic Markov processes can be “lifted” to a unitary “superdynamics”.

Authors

Nicolae Suciu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Adelina Georgescu
Faculty of Sciences, University of Pitești

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Cite this paper as:

N. Suciu, A. Georgescu, On the Misra-Prigogine-Courbage theory of irreversibility, Buletin ştiintific – Univ. Piteşti, Seria Mat. şi Inf., 2 (1998), pp. 169-188.

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Journal

Buletin Științific
Univesitatea din Pitești

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Elsevier

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