Kadanoff-Baym Approach to Entropy Production in O(N) Theory with Next-to-Leading Order Self-Energy(Nuclear Physics)

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概要

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• We investigate entropy production in the O(N) scalar theory using the Kadanoff-Baym equation. We show that one of the candidate expressions of the kinetic entropy satisfies the H-theorem in the first order of the gradient expansion with the next-to-leading-order self-energy of the 1/N expansion in the symmetric phase, and that entropy production occurs as the Green's function evolves with nonzero collision term contributions. Entropy production stops at local thermal equilibrium where the collision term contribution vanishes and the maximal entropy state is realized. We numerically examine these features of entropy production in thermalization processes in 1+1 dimensions for a couple of homogeneous cases, where the thermalization can proceed only with the off-shell effects. We find that the entropy production rate γ is larger for smaller N and is found to follow γ∝(1/N)^δ where δ≳2 at strong coupling measured in the unit of bare mass (m), λ=40m^2.

• 2011-08-25

著者

• OHNISHI Akira

  Yukawa Institute for Theoretical Physics, Kyoto University

• 大西 明

  京都大学基礎物理学研究所

• OHNISHI Akira

  Division of Physics, Graduate School of Science, Hokkaido University

• Ohnishi Akira

  Yukawa Institute For Theoretical Physics Kyoto University

• NISHIYAMA Akihiro

  Yukawa Institute for Theoretical Physics, Kyoto University

• Nishiyama Akihiro

  Yukawa Institute For Theoretical Physics Kyoto University:institute Of Physics University Of Tokyo

• Nishiyama Akihiro

  Yukawa Institute For Theoretical Physics Kyoto University:institute Of Physics University Of Tokyo:g

• OHNISHI Akira

  Yukawa Institute for Theoretical Physics, Kyoto University:Department of Physics, Faculty of Science, Hokkaido University

• NISHIYAMA Akihiro

  Yukawa Institute for Theoretical Physics, Kyoto University:Institute of Physics, University of Tokyo:Graduate School of Pure and Applied Sciences, University of Tsukuba

• NISHIYAMA Akihiro

  Yukawa Institute for Theoretical Physics, Kyoto University:Institute of Physics, University of Tokyo

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