The generalized Boltzmann distribution is the only distribution in which the Gibbs-Shannon entropy equals the thermodynamic entropy.

@article{Gao2019TheGB,
  title={The generalized Boltzmann distribution is the only distribution in which the Gibbs-Shannon entropy equals the thermodynamic entropy.},
  author={Xiang Gao and E. Gallicchio and A. Roitberg},
  journal={The Journal of chemical physics},
  year={2019},
  volume={151 3},
  pages={
          034113
        }
}
  • Xiang Gao, E. Gallicchio, A. Roitberg
  • Published 2019
  • Chemistry, Mathematics, Physics, Medicine
  • The Journal of chemical physics
  • We show that the generalized Boltzmann distribution is the only distribution for which the Gibbs-Shannon entropy equals the thermodynamic entropy. This result means that the thermodynamic entropy and the Gibbs-Shannon entropy are not generally equal, but rather the equality holds only in the special case where a system is in equilibrium with a reservoir. 

    Topics from this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 31 REFERENCES
    Elements of Information Theory
    • 38,995
    • PDF
    Information Theory and Statistical Mechanics
    • 9,830
    • PDF
    Thermodynamics and an Introduction to Thermostatistics
    • 2,921
    • PDF
    Introduction To Modern Statistical Mechanics
    • 2,245
    • PDF
    Nonequilibrium Equality for Free Energy Differences
    • 2,994
    • PDF
    Probability of second law violations in shearing steady states.
    • 1,061
    • PDF
    From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
    • 254
    • PDF