media archive
Physics Conferences 7th KIAS Conference on Statistical Physics
Loading the player ...
[Talk 1] Thermodynamic entropy as a Noether invariant
SPEAKER  |  Shin-ichi Sasa
INSTITUTE  |  Kyoto University
DATE  |  July 4(Mon), 2016
TIME  |  09:00
PLACE  |  Korea Institute for Advanced Study (KIAS), Seoul, Korea
Keyword  |  
Download  |  
ABSTRACT  |  Entropy is a fundamental concept in physics. It appears in thermodynamics, statistical mechanics, information theory, computation theory, and thermodynamics of black holes. Recently, the inter-relation between different types of entropy has been discovered. By synthesizing various aspects of entropy, we thus obtain a deeper understanding of fundamental laws in physics. Now, there is a paper [1], which claims that black hole entropy is obtained as the Noether charge associated with the horizon Killing field. We are then naturally led to ask whether thermodynamic entropy of standard materials is also characterized by a Noether invariant. In the presentation, we study a classical many-particle system with an external control represented by a time dependent parameter in a Lagrangian. We show that thermodynamic entropy of the system is uniquely characterized as the Noether invariant associated with a symmetry for an infinitesimal nonuniform time translation, where trajectories in the phase space are restricted to those consistent with quasi-static processes in thermodynamics [2]. The most remarkable result of our theory is the emergence of a universal constant of the action dimension, while our theory stands on classical mechanics, classical statistical mechanics, and thermodynamics. [1] R. M. Wald, Phys. Rev. D 48 R3427 (1993). [2] S. Sasa and Y. Yokokura, Phys. Rev. Lett. 116 140601 (2016)
  • [Talk 23] Phase equi...
    Julien Tailleur
    July 7(Thu), 2016
  • [Talk 22] Pressure i...
    Yariv Kafri
    July 7(Thu), 2016
  • [Talk 27] Height dis...
    Satya N. Majumdar
    July 7(Thu), 2016
  • [Talk 26] Noninterse...
    Dong Wang
    July 7(Thu), 2016
  • [Talk 24] Exact stat...
    Gregory Schehr
    July 7(Thu), 2016
  • [Talk 17] Adaptive w...
    Joachim Krug
    July 6(Wed), 2016
  • [Talk 20] Scaling co...
    S. H. Ebrahimnazhad Rahbari
    July 6(Wed), 2016
  • [Talk 18] Evolution ...
    Hyeong-Chai Jeong
    July 6(Wed), 2016
  • [Talk 15] Role of Bi...
    Meesoon Ha
    July 5(Tue), 2016
  • [Talk 16] Probabilit...
    Eunghyun Lee
    July 5(Tue), 2016
  • [Talk 14] Irreversib...
    Erick Lutz
    July 5(Tue), 2016
  • [Talk 12] Efficiency...
    Sang Hoon Lee
    July 5(Tue), 2016
  • [Talk 11] The Gibbs ...
    Yuto Murashita
    July 5(Tue), 2016
  • [Talk 9] Reconstruct...
    Pik-Yin Lai
    July 5(Tue), 2016
  • [Talk 8] Does the tr...
    Masaki Sano
    July 5(Tue), 2016
  • [Talk 1] Thermodynam...
    Shin-ichi Sasa
    July 4(Mon), 2016
  • [Talk 7] Universalit...
    Wonmuk Hwang
    July 4(Mon), 2016
  • [Talk 6] Nonequilibr...
    Leihan Tang
    July 4(Mon), 2016
  • [Talk 5] A non-equil...
    Julian Lee
    July 4(Mon), 2016
  • [Talk 4] Dynamical s...
    Yongjoo Baek
    July 4(Mon), 2016
  • [Talk 2] Fluctuation...
    Sanjib Sabhapandit
    July 4(Mon), 2016