A Continued-Fraction Representation of the Time-Correlation Functions

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ID: 291384
1965
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Abstract
A continued-fraction expansion of the Laplace transform of the time-correlation functions is obtained, which enables us to express the generalized susceptibilities and the transport coefficients in terms of the static correlation functions of a set of quantities. This expansion has a different feature from the moment and cumulant expansions, and has a convenient form to introduce the long-time approximation as well as the short-time approximation. Its application to the anomalous relaxation and transport phenomena near the second-order phase transition points is discussed. An expansion formula is also obtained for the time evolution of dynamical quantities in order to describe the various modes of motion involved according to their characteristic time constants. These two expansions are closely related to the time-correlation function formalism of irreversible processes, and allow us to have physical intutition in calculating dissipative properties.
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openalex_W2143423258 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hazime Mori
Journal progress of theoretical physics
Year 1965
DOI
10.1143/ptp.34.399
URL
https://academic.oup.com/ptp/article-pdf/34/3/399/5473397/34-3-399.pdf
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