Numerical transfer-matrix study of metastability in the d=2 Ising model

C. C. A. Günther, Per Arne Rikvold, and M. A. Novotny
Phys. Rev. Lett. 71, 3898 – Published 13 December 1993
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Abstract

We apply a generalized transfer-matrix method to the d=2 Ising ferromagnet at H≠0 and T<Tc to obtain complex constrained free energies. Although the method does not explicitly introduce droplets, the imaginary parts of those constrained free energies that correspond to the metastable state are accurately predicted by a field-theoretical droplet model. The free energy of a critical droplet is given by an equilibrium Wulff construction, and we find evidence for Goldstone modes on its surface. These results indicate that our approach provides a nonperturbative numerical continuation of the free energy around the essential singularity at H=0.

  • Received 11 August 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.3898

©1993 American Physical Society

Authors & Affiliations

C. C. A. Günther, Per Arne Rikvold, and M. A. Novotny

  • Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052
  • Department of Physics and Center for Materials Research and Technology, Florida State University, Tallahassee, Florida 32306-3016
  • Faculty of Integrated Human Studies, Kyoto University, Kyoto 606, Japan

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Vol. 71, Iss. 24 — 13 December 1993

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