Finite-size scaling of the density of zeros of the partition function in first- and second-order phase transitions
- 1 September 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 56 (3) , 2418-2422
- https://doi.org/10.1103/physreve.56.2418
Abstract
The finite-size scaling form for the density of zeros of the partition function in first- and second-order phase transitions is derived. Using the finite-size scaling of the density of zeros, the order of a phase transition can be easily determined and the order parameter calculated from finite-size data. We illustrate the scaling theory using exact values for the zeros of the partition function of the two-dimensional Ising model in the complex magnetic-field plane.Keywords
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