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

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

Copyright date is 1985.

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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. G. N. Bochov and Yu. E. Kuzovlev, Physica, 106A, 443, 480 (1981). H. Haken. Synergetics. A n Introduction.

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. G. N. Bochov and Yu.

11). The main problem we shall have to face is to provide explicit expressions for the commutator In the explicit case considered, this is possible if pa= 0. 31) and recast Eq. 32) The present version of our expansion is useful only if we can find a criterion for truncating the series of Eqs. 32). 32). " Here we limit ourselves to assuming that PI, pa, pb are associated with the time scale parameters rl, ra, and rb,respectively. Let r,, r1>> rb. k-n)is a perturbation term of ( k + r - 1)th order in r1and n th order in ra.

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