Gibbs and Boltzmann Entropy in Classical and Quantum Mechanics

  title={Gibbs and Boltzmann Entropy in Classical and Quantum Mechanics},
  author={S. Goldstein and J. Lebowitz and R. Tumulka and N. Zangh{\'i}},
  journal={arXiv: Statistical Mechanics},
  • S. Goldstein, J. Lebowitz, +1 author N. Zanghí
  • Published 2019
  • Physics
  • arXiv: Statistical Mechanics
  • The Gibbs entropy of a macroscopic classical system is a function of a probability distribution over phase space, i.e., of an ensemble. In contrast, the Boltzmann entropy is a function on phase space, and is thus defined for an individual system. Our aim is to discuss and compare these two notions of entropy, along with the associated ensemblist and individualist views of thermal equilibrium. Using the Gibbsian ensembles for the computation of the Gibbs entropy, the two notions yield the same… CONTINUE READING
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