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Extra info for Advances in Chemical Physics, Volume 135 (Special Volume in Memory of Ilya Prigonine)
1, N=V ¼ n : finite. 2. A (somewhat technical) condition on the resonances. 3. Finite range of the interactions and of the correlations. 4. , the momenta) [the vacuum, r0 ] tends irreversibly toward the thermodynamic equilibrium after a sufﬁciently long time. Under the same conditions, the correlations are determined by the vacuum (technically, they become functionals of the vacuum distribution r0 ) (see Appendix). It should be stressed that in this ﬁrst group of works (1956 –1970) there is nowhere any deviation from the Hamiltonian laws of dynamics.
15 ‘‘Istituto di documentazione e ricerca sull’opera di Ilya Prigogine’’ in Brugine (Pd, Italy). html ilya prigogine: his life, his work 29 They would become the ‘‘stars’’ of Prigoginian statistical mechanics. Their importance lies in the fact that, whenever it is possible to determine these variables by a canonical transformation of the initial phase space variables, one obtains a description with the following properties. The action variables Jn ðn ¼ 1; 2; . . ; N, where N is the number of degrees of freedom of the system) are invariants of motion, whereas the angles an increase linearly in time, with frequencies on ðJÞ, generally action-dependent.
The jump is enormous; but after this purely rhetorical statement, Prigogine calls to prudence! ) during a remarkable television interview14: ‘‘. . nowadays the humanistic sciences can adopt new models: instability, chaos, etc. ’’ Prigogine often uses this rhetorical procedure: a big, shocking statement, followed (at a distance) by precise explanations that put back the problem on its natural level. 7); this is a mind-catching phrase that may produce a feeling of uneasiness, or may be completely misunderstood.