Advances in Chemical Physics, Volume 135 (Special Volume in by Stuart A. Rice

By Stuart A. Rice

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Note that the titles of every work is given in the original language of publication, accompanied, when necessary, by an English translation. A. 1. 1. I. Prigogine, Contributions a` la The´orie des Electrolytes Forts (Contributions to the Theory of Strong Electrolytes), Collection La Chimie Mathe´matique, Vol. V, Th. , GauthierVillars, Paris (also published in Me´moires in-8 de la Classe des Sciences, Acad. Roy. de Belgique, tome XVIII). 2. I. Prigogine, Contribution a` l’e´tude spectroscopique dans l’infra-rouge proche de la liaison d’hydroge`ne et la structure des solutions, (Contribution to the spectroscopic studies in the near infrared of the hydrogen bond and the structure of solutions), Me´moires Acad.

Given the importance of the work of Misra, Prigogine, and co-workers, I am providing in the Appendix a detailed, but simplified, analysis. The main result of these works can be concisely formulated as a unique theorem: There exists a class of dynamical systems, whose distribution function r obeys the (deterministic) Liouville equation, for which one can prove that, as a result of a transformation à of r, their evolution toward the future is ‘‘similar’’ to an irreversible stochastic evolution towards equilibrium, obeying a probabilistic evolution law.

The period 1956–1970 was certainly one of the most fertile for the Brussels group. The research was greatly facilitated by two important elements. The (formal, perturbative) solution of the Liouville equation is greatly simplified by a Fourier representation (see Appendix). The latter allows one to easily identify the various types of statistical correlations between the particles. The traditional dynamics thus becomes a dynamics of correlations. The latter is completed by 9 In the present paper I shall only discuss explicitly classical systems.

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Advances in Chemical Physics, Volume 135 (Special Volume in by Stuart A. Rice
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