Origins of phase transitions in small systems

Oliver Muelken   Phone: +49-(0)441-798-3362   Fax: +49-(0)441-798-3201
Heinrich Stamerjohanns   Phone: +49-(0)441-798-3467   Fax: +49-(0)441-798-3201
Peter Borrmann   Phone: +49-(0)441-798-3362   Fax: +49-(0)441-798-3201

Small systems group   University of Oldenburg, Germany


Date: 20010417

Article: published in Phys. Rev. E 64, 047105 (2001)

phase transition, finite systems, canonical ensemble, microcanonical ensemble, zeros, backbending, complex temperature

The identification and classification of phases in small systems, e.g. nuclei,
social and financial networks, clusters, and biological systems, where the
traditional definitions of phase transitions are not applicable, is important
to obtain a deeper understanding of the phenomena observed in such systems.
Within a simple statistical model we investigate the validity and applicability
of different classification schemes for phase transtions in small systems. We
show that the whole complex temperature plane contains necessary information in
order to give a distinct classification.

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Upload by Oliver Muelken on April 17th 2001