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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24. 1. , Interscience, New York, 1968. 25. P. Resibois, Physica, 31, 645 (1965). 26. P. Resibois, Phys. , 138, B281 (1965). 27. P. Resibois and M. De Leener, Phys. , 152, 305 (1966). 28. J. Schwingcr, Quantum Electrodynamics, Dover Press, New York, 1958. 29. M . G. 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.

If we could find a p such that the 2 quantity of Boltzmann would be given by A! = c P(N) log W ) (52) N we would have a theory of strongly coupled systems where in all averages correlations are eliminated and which therefore in all essential aspects would be formally identical to the theory of weakly coupled systems. This is what we have done by an appropriate choice of the operator x (see Ref. 21). , is diagonal). On the other hand, the aim of our theory is to provide us with a representation in which both at non-equilibrium and at equilibrium we may represent the entropy in the form of Eq.

We want only to notice that because of the form, Eq. (301, of the potential energy the only nonvanishing elements are (v )6LIv p + &, v, - &, vk - &) &=+I (34) This may be represented by a vertex at which two electron lines and one photon line meet. Examples are given in Figure 4. While the graphical V Fig. 4. expression is very similar to the Feynman graph Figure 3 the physical meaning is quite different. For example, as shown by Eq. (31), the matrix element gives a contribution to p o . In other words the matrix elements of 6L correspond to transitions between different correlations or between correlations and the vacuum of correlations po.

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