880 research outputs found
Comment on "Third Law of thermodynamics as a key test of generalized entropies"
Bento \textit{et al.} [Phys. Rev. E 91, 022105 (2015)] state that the Tsallis
entropy violates the third law of thermodynamics for and . We
show that their results are valid only for , since there is no
distribution maximizing the Tsallis entropy for the intervals and
compatible with the system energy expression.Comment: 2 pages, accepted in Phys. Rev.
Clausius versus Sackur-Tetrode entropies
Based on the property of extensivity (mathematically, homogeneity of first
degree), we derive in a mathematically consistent manner the explicit
expressions of the chemical potential and the Clausius entropy for
the case of monoatomic ideal gases in open systems within phenomenological
thermodynamics. Neither information theoretic nor quantum mechanical
statistical concepts are invoked in this derivation. Considering a specific
expression of the constant term of , the derived entropy coincides with the
Sackur-Tetrode entropy in the thermodynamic limit. We demonstrate however, that
the former limit is not contained in the classical thermodynamic relations,
implying that the usual resolutions of Gibbs paradox do not succeed in bridging
the gap between the thermodynamics and statistical mechanics. We finally
consider the volume of the phase space as an entropic measure, albeit, without
invoking the thermodynamic limit to investigate its relation to the
thermodynamic equation of state and observables.Comment: 8 pages, Accepted for publication in Studies in History and
Philosophy of Modern Physics (SHPMP
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