Scaling Relations for Two-Dimensional Ising Percolation |
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| Authors: | Yasunari Higuchi Masato Takei Yu Zhang |
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| Institution: | 1.Department of Mathematics,Kobe University,Kobe,Japan;2.Department of Engineering Science,Osaka Electro-Communication University,Osaka,Japan;3.Department of Mathematics,University of Colorado,Colorado Springs,USA |
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| Abstract: | We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at or near critical external fields. We show that all scaling relations, except for a single hyperscaling relation, hold under the power law assumptions for the one-arm path and the four-arm paths. |
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