The inclusion of the factor in the thermodynamic entropy proposed by Gibbs is shown to be equivalent to the validity of the fluctuation theorem with absolute irreversibility for gas mixing.
DOI:https://doi.org/10.1103/PhysRevLett.118.060601
© 2017 American Physical Society
Three aspects of the Gibbs paradox. GP-I, GP-II, and GP-III concern the consistency within thermodynamics, within classical statistical mechanics, and between thermodynamics and classical statistical mechanics, respectively.
Reuse & PermissionsGas mixing and its time reversal for (a) identical and (b) different gases. The time-reversed process of gas mixing is the wall insertion for a global thermal equilibrium state. (a) In the time-reversed process, the rightmost two events in which the state does not return to the original one have no counterparts in the forward process. Therefore, they are absolutely irreversible. (b) The probability of absolutely irreversible events is larger due to the presence of the rightmost event that is absent in (a).
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