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Additional resources for Advances in Chemical Physics: Memory Function Approahes to Stochastic Problems in Condensed Matter, Volume 62
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. Brand, Phys. , Am,1628 (1979). R. Graham and A. Schenzle, Phys. , A25,1731 (1981). 106-141. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. THEORETICAL FOUNDATIONS 27 14. M. Suzuki, K. Kaneko, and F. Sasagawa, Prog. Theor. , 65, 828 (1981). 15. H. A. Kramers, Physica, 7,284 (1940). 16. M. Bhttiker and R. Landauer, in Nonlinear Phenomena at Phase Transition and Instabilities, T.
As a consequence of the hear nature of this system, these rules prove the exact equivalence between the Newtonian description of Eq. 1) and the standard Langevin equation provided that the assumption of time-scale separation is satisfied (see Section Iv). This interesting result also provides clues on how to build up the reduced model theory (RMT). As outlined in Chapter I, this approach (which will be illustrated by Ferrario et al. in Chapter VI with several applications) consists in replacing the set of variables (a, b,), where a denotes the variables of interest and bRthe true irrelevant variables, with a set (qb,).
3, 245 (1971). 33. R. Zwanzig, J . Chem. , 60,2717(1971);S. W. Haan and R. Z w k g , J . Chem. , 68, 1879 (1978); M. Bixon and R. , 1896. 34. Balucani,R. Vallauri, V. Tognetti, P. Grigolini, and P. Marin, Z . , Condensed Matter, B49,181 (1982), and references therein. 35. N. van Kampen, Siochasric Processes in Physics and Chemistry, North-Holland, Amsterdam, 1981. 36. B. 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.