Phase Transitions Without Thermodynamic Limit,The Crucial Rôle of Possible and Impossible Fluctuations, The Treatment of Inhomogeneous Scenaria in the Microcanonical Ensemble

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dc.creatorGross, D. H. E.
dc.date1998-05-29
dc.date.accessioned2026-07-07T03:10:42Z
dc.date.available2026-07-07T03:10:42Z
dc.descriptionMicrocanonical thermodynamics (MCTh) is contrasted to canonical thermodynamics (CTh). At phase transitions of 1.order the two ensembles are NOT equivalent even in the thermodynamic limit . Energy fluctuations do not vanish and phase separations are suppressed in CTh. A proper treatment of fluctuations is neccessary. MCTh allows to address even isolated small systems where phase transitions can be clearly classified into first order and continuous ones. The microcanonical caloric curve T(E) determines the transition temperature, latent heat AND surface entropy/tension. For systems of ca.1000 Na-, K-, or Fe-atoms at 1 atm. all 3 quantities can be calculated. The three parameters approach with rising size the known bulk values. There is nothing that demands the use of the thermodynamic limit. Within microcanonical thermodynamics of finite systems there are fundamental differences between conserved extensive variables and ensemble related ones like entropy, temperature and pressure. This is discussed in detail.
dc.description12 pages, 2 figures. Latex
dc.identifierhttps://arxiv.org/abs/cond-mat/9805391
dc.identifierhttp://arxiv.org/abs/cond-mat/9805391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28309
dc.subjectStatistical Mechanics
dc.subjectNuclear Theory
dc.titlePhase Transitions Without Thermodynamic Limit,The Crucial Rôle of Possible and Impossible Fluctuations, The Treatment of Inhomogeneous Scenaria in the Microcanonical Ensemble
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