Abstract
This contribution is devoted to the question of the relation between the deterministic laws of dynamics and probabilistic descriptions of physical processes. This problem has been the object of many attempts. It is generally accepted that probabilistic processes can arise from deterministic dynamics through a process of “coarse-graining”, “contraction of the description” or by introducing extra dynamic approximations like the “molecular chaos”. In this short communication I will summarize recent results obtained by B. Misra, I. Prigogine and myself [1], [2], [3] on an alternative approach to this problem which consists in obtaining stochastic processes from deterministic dynamics by a similarity invertible linear transformations acting on the space of the distribution functions, when the dynamics is inherently random or unstable. In this case the irreversibility is obtained by a change of representation without any supplementary hypothesis.
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References
B. Misra, I. Prigogine and M. Courbage: From deterministic dynamics to probabilistic descriptions. Proc. Natl. Acad. Sci. USA 76, p. 3607–3611, 1979 (see also Physica, to appear).
B. Misra, I. Prigogine and M. Courbage: Liapounov variable, Entropy and Measurement in Quantum Mechanics to appear in Proc. Natl. Acad. Sci.
M. Courbage and B. Misra: On the intrinsic randomness of classical dynamical systems to appear in J. Stat. Phys.
B. Misra, Proc. Natl. Acad. Sci USA 75, 1627–1631 (1978).
M. Courbage, C. Coutsomitras and B. Misra: On the of the correspondance of the deterministic dynamics and Markov processes. To appear.
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© 1980 Springer-Verlag Wien
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Courbage, M. (1980). Intrinsic Stochasticity and Irreversibility of Classical Quantum Systems. In: Blaquiére, A., Fer, F., Marzollo, A. (eds) Dynamical Systems and Microphysics. International Centre for Mechanical Sciences, vol 261. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4330-8_14
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DOI: https://doi.org/10.1007/978-3-7091-4330-8_14
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81533-5
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