Spatially inhomogeneous thermo field dynamics

K. Nakamura, H. Umezawa, Yoshiya Yamanaka

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Non-equilibrium thermo field dynamics is extended to treat spatially inhomogeneous systems. A canonical formalism of thermally dissipative semi-free fields describing spatially inhomogeneous situations is presented. With this formalism, a scheme of perturbative calculations is developed and the "on-shell" renormalization condition is discussed. We illustrate this scheme using a model of particles interacting with impurities and find that the self-consistent renormalization condition gives the kinetic equation for the averaged particle number density as well as the renormalized energy and the dissipative coefficient. It is also shown that this kinetic equation can be reduced to the Boltzmann equation in the gradient expansion approximation.

Original languageEnglish
Pages (from-to)118-136
Number of pages19
JournalPhysica A: Statistical Mechanics and its Applications
Volume150
Issue number1
DOIs
Publication statusPublished - 1988
Externally publishedYes

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Kinetic Equation
kinetic equations
Renormalization
formalism
Impurities
Boltzmann Equation
Non-equilibrium
Shell
Gradient
impurities
gradients
expansion
Coefficient
coefficients
Approximation
Energy
approximation
energy
Model

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Spatially inhomogeneous thermo field dynamics. / Nakamura, K.; Umezawa, H.; Yamanaka, Yoshiya.

In: Physica A: Statistical Mechanics and its Applications, Vol. 150, No. 1, 1988, p. 118-136.

Research output: Contribution to journalArticle

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