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A Continued-Fraction Representation of the Time-Correlation Functions

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Mori, Hazime·1965·Progress of Theoretical Physics
DOI 10.1143/ptp.34.399
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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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Metadata

Authors
Mori, H.
Venue
Progress of Theoretical Physics
Publisher
Oxford University Press (OUP)
Published
1965-09
Volume
34
Issue
3
Pages
399-416
ISSN
0033-068X (ISSN-L)
DOI
10.1143/ptp.34.399
OpenAlex
W2143423258
Cited by
1,799
References
0
FWCI
4.89
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: A Continued-Fraction Representation of the Time-Correlation Functions. https://app.cochat.ai/papers/10.1143/ptp.34.399
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Mori, H. (1965). A Continued-Fraction Representation of the Time-Correlation Functions. Progress of Theoretical Physics. https://doi.org/10.1143/ptp.34.399

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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