By Stuart A. Rice
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Extra info for Advances in Chemical Physics, Volume 135 (Special Volume in Memory of Ilya Prigonine)
Particles (or degrees of freedom), corresponding to the number of nonzero wave vectors kj . , the distribution of actions J), plays a privileged role. In this representation the Liouville equation is transformed into a coupled set of equations for the Fourier components. These equations are naturally interpreted as describing the coupled evolution of the correlations, consisting of creations, transformations, and destructions of correlations in time. This new language of dynamics of correlations replaces the traditional language of mechanics in terms of motion of a point along a trajectory.
Whenever the evolution is effectively 22 radu balescu perceived as irreversible, as at the macroscopic level, the constructive role of irreversibility is manifest in the formation of the dissipative structures discovered by Prigogine. ’’ In La Fin des Certitudes (p. , a grouping of the microscopic states into cells, considered as the basic units of the theory). This process is, indeed, an arbitrary approximation that cannot be accepted as a basis of the fundamental explanation of the very real macroscopic irreversible processes.
Robert Brout would soon go back to the United States, but already a group of young enthusiastic students and future Belgian scientists was growing around Ilya Prigogine; they would develop and amplify the new nonequilibrium statistical mechanics. Among the earliest, in order of arrival, let me list them: Radu Balescu, Franc¸oise Henin, Pierre Re´sibois, Claude George. It is interesting to note that we were all chemists, converted to physics by the charisma of Prigogine. The period 1956–1970 was certainly one of the most fertile for the Brussels group.
Advances in Chemical Physics, Volume 135 (Special Volume in Memory of Ilya Prigonine) by Stuart A. Rice