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Zeros of the Partition Function and Pseudospinodals in Long-Range Ising Models

arXiv:cond-mat/0308418 · doi:10.1103/PhysRevE.69.036119

Abstract

The relation between the zeros of the partition function and spinodal critical points in Ising models with long-range interactions is investigated. We find 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.

20 pages, 9 figures, accepted to PRE