Publisher's Synopsis
Excerpt from Exact Bounds on Transport Coefficients
This work is based, in part, upon the Kubo transform technique for calculating transport coefficients by way of space-time correlation functions. These space - time correlation functions are evaluated by a special path integral formulation first described in a paper by Ferous and Yevick. This integral is the basis of a minimum principle which results in bounds upon space - time correlations. The path integral representation is used to derive various auto correlation functions, e.g. Entropy - entropy; moreover, a method for representing these auto - correlations, via a minimum principle is presented. In order to establish a usable minimum principle the integrand has to be guaranteed positive definite. This is accomplished by an extension into the imaginary time domain. Thus, with analyticity in the upper half complex time plane and sufficient fall off at infinity a lower bound inequality for transport coefficients can be given.
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