Memory Function Approaches to Stochastic Problems in by Myron W. Evans, Paolo Grigolini, Giuseppe Pastori

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By Myron W. Evans, Paolo Grigolini, Giuseppe Pastori Parravicini

Copyright date is 1985.

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E. Shuler, and G. H. , MIT Press, Cambridge, 1977,p. 255. 22. P. Rksibois, Physica. 27,541 (l%l); I. Prigogine and P. ReSibois, Physica, 27,629(l%l); P. Rksibois, Physica, 29, 721 (1963). 23. E. W. Montroll, Fundanrental Problems in Statistical Mechanics, compiled by E. G. D. Cohen, North-Holland, Amsterdam, 1%2, pp. 230-249; Lecture Notes Theor. Phys. (Boulder), 3, 22 (1980). 24. (a) J. Hynes, Mof. , 28,997 (1974); E. T. Chang, R. M. Mazo, and Y. T. Hynes, J. Srat. , 11, 257 (1974). (b) H. Grabert, P.

GRIGOLINI AND F. MARCHESONI 50 where D is given by (up to the 7: order) + Do + D 1 9 + DIDo+ D : 9 + D29' + D 2 D 0 9 + D29Do+ D o g 3+ D:Do + D,Di +0( D =9 715). 34) The minimum perturbation order of each term of Eq. 34) can be evaluated by summing indices and exponents factor by factor. By substituting the exwe finally get the perturbation expansion of Eq. 24) at any required order in T~ and in T ~ In . Sections IV and V, we shall do this explicitly for some examples of interest. IV. MORE ON THE ILLUSTRATIVE EXAMPLE OF SECTION II We are now in a position to answer the question left unsolved in Section 11.

Interscience, New York, 1961, pp. 2. 3. I. 67 (1973). I. Prigogine, C. George, F. Henin, and L. Rosenfeld, Chem. Scripta, 4, 5 (1973). A. Grecos and I. Prigogine, Physica, 59, 77 (1972). S. Nakajima. Prog. Theor. , u),948 (1958). H. Mori. Prog. Theor. Phys.. 33,423 (1%5); 34, 399 (1965). P. Grigolini, Nuouo Cimento, 63B,174 (1981). R. Kubo,in “Non-Linear Nonequilibrium Statistical Mechanics,” Progr. Theoret. ), 1 (1978). P. Glansdorf and I. Prigopine, Thermodynamic Theory of Structure, Stabiliry and Fluctuarions, Wiley, New York, 1971.

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