Abstract
Metastable states of homogeneous 2D and 3D Ising models are studied under free boundary conditions. The states are defined in terms of weak and strict local minima of the total interaction energy. The morphology of these minima is characterized locally and globally on square and cubic grids. Furthermore, in the 2D case, transition from any spin configuration that is not a strict minimum to a strict minimum is possible via non-energy-increasing single flips.
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References
M. Achilles and J. Bendisch, Über metastabile Zustände in homogenen 2- und 3-dimensionalen Ising Modellen, GMD-Studie No. 116, Gesellschaft für Mathematik und Datenverarbeitung, D-5205 St. Augustin, to appear (March 1987).
K. Binder, Theory of First Order Phase Transition, Report on Progress in Physics, Institute of Physics, London, to appear (1987).
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Achilles, M., Bendisch, J. & von Trotha, H. Metastable states in homogeneous Ising models. J Stat Phys 47, 257–263 (1987). https://doi.org/10.1007/BF01009045
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DOI: https://doi.org/10.1007/BF01009045