Metastable Ising models in crumpled geometries

J.C. Lee

Physica A: Statistical Mechanics and its Applications, 1989, vol. 160, issue 3, 503-518

Abstract: Ising models on tangled chains or crumpled surfaces are studied. The crumpling (tangling) action brings into proximity otherwise distant parts of the original lattice and thus adds additional bonds between the spins across the surface (chain). The task in building a model is then to decide where to let the surface (chain) touch itself and what kinds of bonds to be added there across the surface (chain). We study those models which are most likely to result in metastable and history-dependent behavior. A model of a tangled chain is shown to have free energy barriers. The consequent metastable states lead to a non-uniform effective temperature in the Gibbs average. Ising models on crumpled or folded surface are studied with a varying degree of crumpling and varying heights of energy barriers. An unusual behavior is observed near the threshold of vanishing metastability.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:160:y:1989:i:3:p:503-518

DOI: 10.1016/0378-4371(89)90454-8

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