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Phys. Rev. Lett. 84, 3511–3514 (2000)

Classification of Phase Transitions in Small Systems

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Peter Borrmann, Oliver Mülken, and Jens Harting
Department of Physics, Carl von Ossietzky University Oldenburg, D-26111 Oldenburg, Germany

Received 14 October 1999; published in the issue dated 17 April 2000

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 transition in a finite system and to small Ar clusters.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.3511
DOI:
10.1103/PhysRevLett.84.3511
PACS:
05.70.Fh, 64.60.Cn, 64.70.-p