Stuart A Rice; I Prigogine's Advances in Chemical Physics [Vol 15] PDF

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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Velarde and J. Wallenborn, Phys. , 26A, 584 (1968). 30. N. res, Dover Press, Ncw York, 1954. Advance in Chemical Physics, VolumeXV Edited by K. E. Shuler Copyright © 1969 by John Wiley & Sons. Inc. RELAXED MOTION IN IRREVERSIBLE MOLECULAR STATISTICS B. 0. KOOPMAN Department of Mathematics, Columbia University, New York, New York CONTENTS I. The Basic Enigma . . . . . . . . . . . . . . IV. The Information Content of Probability Statements . V. Heuristic Introduction to Relaxed Motion .

13. P. Henin and de Haan, Physica, 40, 399 (1968). 14. F. Henin, 1. Prigogine, C. George, and F. Mayne, Phy~ica,32, 1828 (1966). 15. M. Jammer, The Conceptual Developmrnt of Quanlurn Mechunics, McGraw-Hill, New York, 1966. 16. F. Maynk, to appear 1969. 17. D. Park, Introduction to Strong Interactions, Benjamin, New York, 1966. 18. 1. Prigogine, Non-Equilibrium Statistical Mechanics, Interscience, New York, 1963. 19. I. Prigogine, Solvay: 14th Physics Conference-FundamentalProblemJ in Elemenrury Particle Physics, Interscience, London-New York, 1968.

I n the interior of M,,, I ( S ) will be finite. But only on a subset Mz,' of M , , will there exist an actual information-minimizing p(x). This M2k' is easily obtained by the study of the orientation of the support hyperplane (of the Hahn-Banach Theorem)" to the (2k + 1)dimensional convex set K2k+ldefined by the relations KZk+l {(PI? I p2k> 6 ) 16 2 I(s);(p) 6 M z k ) In M2k' the information-minimizing p(x) is given as the exponential of a polynomial in x, of even degree (in general = 2 k ) and negative highest coefficient.

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

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