Micro-canonical Statistical Mechanics of some Non-Extensive Systems

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dc.creatorGross, D. H. E.
dc.date2000-04-17
dc.date.accessioned2026-07-07T02:37:22Z
dc.date.available2026-07-07T02:37:22Z
dc.descriptionNon-extensive systems do not allow to go to the thermodynamic limit. Therefore we have to reformulate statistical mechanics without invoking the thermodynamical limit. I.e. we have to go back to Pre-Gibbsian times. We show that Boltzmann's mechanical definition of entropy S as function of the conserved ``extensive'' variables energy E, particle number N etc. allows to describe even the most sophisticated cases of phase transitions unambiguously for ``small'' systems like nuclei, atomic clusters, and selfgravitating astrophysical systems: The rich topology of the curvature of S(E,N) shows the whole ``Zoo'' of transitions: transitions of 1.order including the surface tension at phase-separation, continuous transitions, critical and multi-critical points. The transitions are the ``catastrophes'' of the Laplace transform from the ``extensive'' to the ``intensive'' variables. Moreover, this classification of phase transitions is much more natural than the Yang-Lee criterion.
dc.descriptionInvited talk Int.Workshop on Classical and Quantum Complexity and Non-extensive Thermodynamics, Denton-Texas,April 3-6,gzipped tar file,17 pages,11 eps-figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0004268
dc.identifierhttp://arxiv.org/abs/cond-mat/0004268
dc.identifierChaos,Solitons and Fractals 13 (2002),417-430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16267
dc.subjectStatistical Mechanics
dc.subjectNuclear Theory
dc.titleMicro-canonical Statistical Mechanics of some Non-Extensive Systems
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