Spontaneous creation of dissipation in thermo field dynamics and its examples

T. Arimitsu; H. Umezawa; Y. Yamanaka; N. J. Papastamatiou

doi:10.1016/0378-4371(88)90132-X

Spontaneous creation of dissipation in thermo field dynamics and its examples

T. Arimitsu^*, H. Umezawa, Y. Yamanaka, N. J. Papastamatiou

^*Corresponding author for this work

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

18 Citations (Scopus)

Abstract

This article reviews the formulation of the self-consistent renormalization method in thermo field dynamics and the way this can lead to the spontaneous creation of dissipation in an isolated system. The general theory is illustrated by an explicit solution of a model of a system interacting with a reservoir, and is also applied to a relativistic self-interacting scalar model. The appearance of dissipation is shown. We also compare thermo field dynamics with the path-ordering formalism of Schwinger and Keldysh and the Liouville equation formalism.

Original language	English
Pages (from-to)	27-45
Number of pages	19
Journal	Physica A: Statistical Mechanics and its Applications
Volume	148
Issue number	1-2
DOIs	https://doi.org/10.1016/0378-4371(88)90132-X
Publication status	Published - 1988 Feb 1
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/0378-4371(88)90132-X

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AB - This article reviews the formulation of the self-consistent renormalization method in thermo field dynamics and the way this can lead to the spontaneous creation of dissipation in an isolated system. The general theory is illustrated by an explicit solution of a model of a system interacting with a reservoir, and is also applied to a relativistic self-interacting scalar model. The appearance of dissipation is shown. We also compare thermo field dynamics with the path-ordering formalism of Schwinger and Keldysh and the Liouville equation formalism.

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Spontaneous creation of dissipation in thermo field dynamics and its examples

Abstract

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