ブラックホール熱力学の一般化された第2法則の物理的本質

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概要

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• This report shows briefly the essence of the generalized second law (GSL) of black hole thermodynamics, of which the precise (professional) discussion has already been published in Classical and Quantum Gravity 23 6227 (2006). For a complete discussion on this topic, see that original paper. When a black hole is in an empty space on which there is no matter field except that of the Hawking radiation (Hawking field), then the black hole evaporates and the entropy of the black hole decreases. The generalized second law guarantees the increase of the total entropy of the whole system which consists of the black hole and the Hawking field. That is, the increase of the entropy of the Hawking field is faster than the decrease of the black hole entropy. In naive sense, one may expect that the entropy increase of the Hawking field is due to the self-interaction among the composite particles of the Hawking field, and that the self-relaxation of the Hawking field results in the entropy increase. Then, when one consider a non-self-interacting matter field as the Hawking field, it is obvious that the self-relaxation does not take place, and one may think that the total entropy does not increase. However, using nonequilibrium thermodynamics which has been developed recently, we find for the non-self-interacting Hawking field that the rate of entropy increase of the Hawking field (the entropy emission rate by the black hole) grows faster than the rate of entropy decrease of the black hole along the black hole evaporation in the empty space. The origin of the entropy increase of the Hawking field is the increase of the black hole temperature. Hence an understanding of the generalized second law in the context of the nonequilibrium thermodynamics is suggested; even if the self-relaxation of the Hawking field does not take place, the temperature increase of the black hole during the evaporation process causes the entropy increase of the Hawking field to result in the increase of the total entropy.

著者

• 斉田 浩見

  大同大学教養部物理学教室

• 斉田 浩見

  大同工業大学教養部物理学教室

関連論文

• 21pBL-1 はじめに(21pBL 宇宙線・宇宙物理領域シンポジウム:一般相対論の直接検証:ブラックホール・シャドーの直接撮像と重力波の検出,宇宙線・宇宙物理領域)
• ブラックホール熱力学の一般化された第2法則の物理的本質

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