(1965). Gibbs vs Boltzmann entropies. American Journal of Physics, 33, 391-398 Reprinted in Jaynes (1989, pp. 77-86).E. T. Jaynes, “Gibbs vs Boltzmann entropies,” in R.D. Rosenkrantz, ed., E.T. Jaynes: Papers on Probability, Statistics and Statistical Physics (Reidel, Dordrecht,...
Summary: Recently {\\it S. Verd霉} and {\\it T. Weissman} [Erasure entropies, in: Proc. ISIT, 98102 (2006); The information lost in erasures, IEEE Trans. Inf. Theory 54, No.~11, 50305058 (2008)] introduced erasure entropies, which are meant to measure the information carried by...
In this work, we demonstrate the inappropriateness of the Boltzmann-Gibbslog-formulation of the physical Clausius entropy $S$ in connectingthermodynamics and phase space statistics. To achieve our goal, we studythermodynamically the simple case of ideal gases embedded in a finite heat bathand compare...
In a series of publications, Dunkel, Hilbert and H盲nggi argued that it would lead to a more consistent thermodynamic description of small systems, when one uses the Gibbs definition of entropy instead of the Boltzmann one. The latter is the logarithm of the density of states at a certain ...
Although negative temperatures do not exist for the system of fermions studied here, we still find a significant difference between the Boltzmann and Gibbs entropies, and between the corresponding temperatures with the Gibbs temperature being closer (for small particle number) to the temperature based...
doi:10.1088/0031-8949/86/05/058513Rondoni, LPigolotti, SPhysica ScriptaL. Rondoni, S. Pigolotti, On Gamma- and mu-space descrip- tions: Gibbs and Boltzmann entropies of symplectic coupled maps, Phys. Scripta 86, 058513 (2012).
Gibbs vs. Shannon entropiesEntropies, Shannon
Heat capacities, entropies, and Gibbs free energies of formation of low-k amorphous Si(O)CH dielectric films and implications for stability during processingdoi:10.1016/J.JCT.2018.08.026Jiewei ChenJason CalvinMegan AsplundSean W. KingBrian F. Woodfield...
Standard Gibbs energies and entropies of formation of 31 carbonates of rare-earth elements and yttrium have been calculated and are given. Interconnection has been established between the standard heats and Gibbs energies of the formation of carbonates Ln(CO), where Ln stands for rare-earth ...
The Gibbs neg-entropy -η G =∫ II ln II is compared to the Shannon negentropy η s =∑ p In p. The coarse-grained density is II, while p is a probability sequence. Both objects are defined over partitions of the energy shell within a set-theoretic framework. The dissimilarity of ...