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Additional resources for Advances in Chemical Physics: Memory Function Approahes to Stochastic Problems in Condensed Matter, Volume 62
J. Berne, J. P. A. Rice, J . Chem. , 45,1086(1966); B. F. McCoy and S. A. Rice, Chem. Phys. , 35, 431 (1975). Advance in Chemical Physics, VolumeL X I Edited by Myron W. Evans, Paolo Grigolini, Giuseppe Pastori Parravicini Copyright © 1985 by John Wiley & Sons, Inc. BASIC DESCRIPTION OF THE RULES LEADING TO THE ADIABATIC ELIMINATION OF FAST VARIABLES P. GRIGOLINI and F. MARCHESONI CONTENTS I. 11. 111. IV. V. Introduction ............................................ An Illustrative Example to Make Readers Familiar with the AEP .
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. Ye& Organization in Physics, Chemistry and Biologv, Springer-Verlag, Berlin, 1977. A. Schenzle and H.
In Section I11 we shall provide the basic rules for a systematic expansion, which will lead us ultimately to a deeper understanding of the development just presented. 111. THE BASIC RULES FOR A SYSTEMATIC EXPANSION The purpose of this section is to develop a systematic approach to evaluating higher-order corrections to the results discussed in Section 11. Of course, this systematic approach can also be applied to physical systems different from that discussed in Section 11. As a consequence of the hear nature of this system, these rules prove the exact equivalence between the Newtonian description of Eq.