Metastability and analyticity in a dropletlike model View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1984-01

AUTHORS

G. Roepstorff, L. S. Schulman

ABSTRACT

We consider an urn model closely related to the Fisher-Felderhof droplet model for the purpose of studying the relation between metastability and analytic continuation. For this model both the statics and dynamics can be solved and we confirm the relation between the metastable decay rate and the imaginary part of the analytically continued free energy (actually, pressure, in this model). We also find that eigenvalue degeneracy, an old theme for static aspects of phase transitions, appears in the dynamics as well. When approaching the phase transition from the stable side it is a degeneracy in the eigenvalues of the linear operator appearing in the master equation that causes the system to lock into a particular phase. More... »

PAGES

35-56

References to SciGraph publications

  • 1971-06. Rigorous treatment of metastable states in the van der Waals-Maxwell theory in JOURNAL OF STATISTICAL PHYSICS
  • 1982-10. Analytic continuation at first-order phase transitions in JOURNAL OF STATISTICAL PHYSICS
  • 1972-09. Time-dependent statistics of binary linear lattices in JOURNAL OF STATISTICAL PHYSICS
  • 1981-12. Solvable models of classical lattice gases in JOURNAL OF STATISTICAL PHYSICS
  • 1980-08. Complex free energies and metastable lifetimes in JOURNAL OF STATISTICAL PHYSICS
  • 1978-03. Metastability in the two-dimensional ising model in JOURNAL OF STATISTICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/bf01770348

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    http://dx.doi.org/10.1007/bf01770348

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