Classification of phase transitions in small systems

Details Classification of phase transitions in small systems Classification of phase transitions in small systems

1999-09-13

arxiv.org/abs/cond-mat/9909184v5

Phys. Rev. Lett. 84, 3511 (2000)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 4 figures, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.3511

We present a classification scheme for phase transitions in finite systems like atomic and molecular clusters based on the Lee-Yang zeros in the complex temperature plane. In the limit of infinite particle numbers the scheme reduces to the Ehrenfest definition of phase transitions and gives the right critical indices. We apply this classification scheme to Bose-Einstein condensates in a harmonic trap as an example of a higher order phase transitions in a finite system and to small Ar clusters.

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