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• W1689298868 abstract "The chapter reviews approximate methods to calculate correlation functions and Mori-Zwanzig memory functions. Some general characteristics of time correlation functions are outlined in the chapter to guide in finding mathematically or physically motivated approximations. The coefficients in these expansions are evaluated at zero time and may therefore be calculated by methods of equilibrium statistical mechanics. Many schemes have been developed to construct approximate memory functions that are based on the Mori continued fraction method. A method that gives an expansion of the autocorrelation function by use of an expansion of the propagator is based on this division of the potential. Another approach for the calculation of the memory function corresponding to the velocity autocorrelation function is to use models based on the motion of a macroscopic body in a fluid as described by hydrodynamics. The incorrect short-time exponential behavior for nonhard sphere systems can be corrected by allowing the proper short-time molecular behavior to be incorporated into the expression. The memory functions calculated by the molecular-dynamics method are also elaborated in the chapter." @default.
• W1689298868 created "2016-06-24" @default.
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• W1689298868 date "2007-01-01" @default.
• W1689298868 modified "2023-10-16" @default.
• W1689298868 title "Approximate Methods to Calculate Correlation Functions and Mori-Zwanzig Memory Functions" @default.
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• W1689298868 doi "https://doi.org/10.1016/b978-044452129-3/50004-3" @default.
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