The microcanonical entropy is multiply differentiable. No dinosaurs in microcanonical gravitation: No special "microcanonical phase transitions"

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dc.creatorGross, D. H. E.
dc.date2004-03-23
dc.date.accessioned2026-07-07T02:57:14Z
dc.date.available2026-07-07T02:57:14Z
dc.descriptionThe microcanonical entropy $S=\ln[W(E)]$ is the {\em geometrical measure} of the microscopic redundancy or ignorance about the N-body system. {\em Even for astronomical large systems} is the microcanonical entropy everywhere {\em single valued and multiply differentiable}. Also the microcanonical temperature is at all energies single valued and differentiable. It is further shown that the recently introduced singularities of the {\em microcanonical} entropy like "microcanonical phase transitions", and exotic patterns of the {\em microcanonical} caloric curve $T(E)$ like multi-valuednes or the appearance of "dinosaur's necks" are inconsistent with Boltzmann's fundamental definition of entropy.
dc.description3 pages no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0403582
dc.identifierhttp://arxiv.org/abs/cond-mat/0403582
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23583
dc.subjectStatistical Mechanics
dc.subjectAstrophysics
dc.subjectNuclear Theory
dc.titleThe microcanonical entropy is multiply differentiable. No dinosaurs in microcanonical gravitation: No special "microcanonical phase transitions"
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