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Graphical Representations for Ising Systems in External Fields |
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| Authors: | L Chayes J Machta O Redner |
| Institution: | 1. Department of Mathematics, University of California, Los Angeles, California, 90095-1555; 2. Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts, 01003-3720; 3. Institut für Theoretische Physik, Universit?t Tübingen, D-72076, Tübingen, Germany; |
| Abstract: | A graphical representation based on duplication is developed that is suitable for the study of Ising systems in external fields. Two independent replicas of the Ising system in the same field are treated as a single four-state (Ashkin–Teller) model. Bonds in the graphical representation connect the Ashkin–Teller spins. For ferromagnetic systems it is proved that ordering is characterized by percolation in this representation. The representation leads immediately to cluster algorithms; some applications along these lines are discussed. |
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