Application of general transport theories to model system

P. M. Clark; P. Gluck; O. Wohlman-Entin

doi:10.1007/BF01014910

Application of general transport theories to model system

P. M. Clark^*, P. Gluck, O. Wohlman-Entin

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a simple model, the two-site small-polaron system, and show that its properties can be characterized by a master equation which is in accordance with recent quantum statistical theories of macroscopic observables. It is shown by a combination of formal and numerical analyses that the model is an example of a system describable by the lowest-order term in the expansion of the kernel of the master equation in powers of the ratio of the average polaron-phonon interaction energy to the microscopic phonon energy. We discuss the relevance of the method to actual physical systems.

Original language	English
Pages (from-to)	361-371
Number of pages	11
Journal	Journal of Statistical Physics
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/BF01014910
State	Published - Apr 1973

Keywords

Transport
macrostate
master equation
small polarons
small-parameter expansion

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10.1007/BF01014910

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author = "Clark, {P. M.} and P. Gluck and O. Wohlman-Entin",

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AB - We consider a simple model, the two-site small-polaron system, and show that its properties can be characterized by a master equation which is in accordance with recent quantum statistical theories of macroscopic observables. It is shown by a combination of formal and numerical analyses that the model is an example of a system describable by the lowest-order term in the expansion of the kernel of the master equation in powers of the ratio of the average polaron-phonon interaction energy to the microscopic phonon energy. We discuss the relevance of the method to actual physical systems.

KW - Transport

KW - macrostate

KW - master equation

KW - small polarons

KW - small-parameter expansion

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ER -

Application of general transport theories to model system

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Keywords

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