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

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

1998-05-29

arxiv.org/abs/cond-mat/9805391v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 2 figures. Latex

Scientific paper

Microcanonical 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.

Affiliated with

Also associated with

No associations

Rating

Phase Transitions Without Thermodynamic Limit,The Crucial Rôle of Possible and Impossible Fluctuations, The Treatment of Inhomogeneous Scenaria in the Microcanonical Ensemble does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Phase Transitions Without Thermodynamic Limit,The Crucial Rôle of Possible and Impossible Fluctuations, The Treatment of Inhomogeneous Scenaria in the Microcanonical Ensemble, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase Transitions Without Thermodynamic Limit,The Crucial Rôle of Possible and Impossible Fluctuations, The Treatment of Inhomogeneous Scenaria in the Microcanonical Ensemble will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-546027