Nucleation and metastability in three-dimensional Ising models |
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Authors: | Dieter W. Heermann Antonio Coniglio W. Klein Dietrich Stauffer |
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Affiliation: | (1) Center for Polymer Studies and Department of Physics, Boston University, 02215 Boston, Massachusetts;(2) Present address: Institut für Festkörperforschung, Theorie II, Kernforschungsanlage Jülich, Postfach 1913, D-5170 Jülich 1, West Germany;(3) Present address: Instituto di Fisica Teorica, Universita di Napoli, Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy;(4) Present address: Institut für Theoretische Physik, Universität zu Köln, Köln, West Germany |
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Abstract: | We present Monte Carlo experiments on nucleation theory in the nearest-neighbor three-dimensional Ising model and in Ising models with long-range interactions. For the nearest-neighbor model, our results are compatible with the classical nucleation theory (CNT) for low temperatures, while for the long-range model a breakdown of the CNT was observed near the mean-field spinodal. A new droplet model and a zeroth-order theory of droplet growth are also presented.Supported in part by grants from ARO, ONR, and NSF. |
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Keywords: | Classical nucleation theory droplet definitions lattice gas Monte Carlo spinodal |
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