Advances in Chemical Physics [Vol 15] - download pdf or read online

By Stuart A Rice; I Prigogine

ISBN-10: 0471380024

ISBN-13: 9780471380023

ISBN-10: 0471392677

ISBN-13: 9780471392675

ISBN-10: 0471393312

ISBN-13: 9780471393313

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This means that the assumption goes beyond the modest role of quantitative approximation, and assumes that of a new principle of physics-entering in a vague way through the back door. II. THE BASIC MACROSCOPIC FUNCTIONS Of all the macroscopic quantities in our model, the hydrodynamic density p, flow velocity vector u =(u,), and thermodynamic energy E, have the unique property of being produced by additive invariants of the microscopic motion. The latter, also called sum functions4 and summation invariants,’ occur at an early stage in most treatments.

At each epoch t in any given motion, the mass M ( d ) , vector momentum P ( d ) , and internal energy E ( d ) of the matter which happens to be in d at that time are random variables whose statistics is induced by %. They have the three following properties. (a) They are invariant in the sense that, if the forces due to ail the matter in the universe outside d were annihilated, their values would be unchanged in the subsequent motion: they would be integrals of the reduced equations of motion. ) P ( d + 97)= P ( d ) + P(98) E ( d + 9l) E ( d ) + E(B) M(d 5 It is noted that the third relation is written as an approximate equation.

Each term in the collision operator now contains the correct &function expressing conservation of energy. It is, therefore, in terms of these equations that we may describe in a simple way the production and destruction processes involving un-,table particles or excited states. It is interesting to note that while in the usual dynamical picture excited states are broad (" uncertainty principle " - QUANTUM STATFS AND DISSIPATIVE PROCESSES 33 AEAt h ) we have here well-defined excited levels in the quasi-particle picture.

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Advances in Chemical Physics [Vol 15] by Stuart A Rice; I Prigogine


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