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APS » Journals » Phys. Rev. E » Volume 69 » Issue 3
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Phys. Rev. E 69, 036119 (2004) [8 pages]

Zeros of the partition function and pseudospinodals in long-range Ising models

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Natali Gulbahce
Department of Physics, Clark University, Worcester, Massachusetts 01610, USA
Los Alamos National Laboratory, CCS-3, MS-B256, Los Alamos, New Mexico 87545, USA

Harvey Gould
Department of Physics, Clark University, Worcester, Massachusetts 01610, USA

W. Klein
Los Alamos National Laboratory, X-7 Material Science, Los Alamos, New Mexico 87545, USA
Department of Physics, Boston University, Boston, Massachusetts 02215, USA

Received 2 September 2003; published 31 March 2004

The relation between the zeros of the partition function and spinodal critical points in Ising models with long-range interactions is investigated. We find that the spinodal is associated with the zeros of the partition function in four-dimensional complex temperature/magnetic field space. The zeros approach the real temperature/magnetic field plane as the range of interaction increases.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.036119
DOI:
10.1103/PhysRevE.69.036119
PACS:
64.60.Fr, 05.50.+q, 05.70.Fh, 75.10.Hk
 
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