A Duality and an Analytic Profile of Tepological Entropy in Percolation Expressions of 2D Potts Spin Systems

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概要

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• By the Kasteleyn atnd Forttrin f'ortarttltttion, a Polls sjcirn systerta c?rn be expressed srs 21 perco-lation systetaa of' spin cltrsters. The topologicatl eratropy C2111 Ice defined ['ronx the rntttnber of' spincltrster pattertas as a f'trnction of' the natrtaaloers of' bonds ?ttad cltnsters. Using 21 self' dtuality, thetopological entropy is showta to haxve tire rtaarxittatrun valtre at the tr?tnsition ten?perattrre f'or tltesqtrare lattice. It also slaows a deliczrte singttl?tr strtrcttrre ?trotrnd the transition point even artClue ttnity degree of' internal f'reedort?, tlae one-stsxte Polls rnodel, 218 21 trnified generatting f'ttraction.The strongly-f'rtrstratted Ising systenaa is trnderstood srs the one-ststte Polls uaaodel xvitlx the re?tlsjcin cltrsters.

• 社団法人日本物理学会の論文
• 1999-10-15

著者

• KASAI Yasuhiro

  Department of Applied Physics Osaka University

• IKEDA Hideo

  Department of Molecular Biology, Institute of Medical Science, The University of Tokyo, Tokyo Japan

• Kasai Yasuhiro

  Department Of Applied Physics Faculty Of Engineering Osaka University

• Ikeda Hideo

  Department Of Applied Physics Osaka University

• Ohnaka Kohzaburo

  Department of Mathematical Sciences, Osaka University

• NOMURA Shoichi

  Department of Applied Physics,Osaka University

• Nomura S

  Department Of Applied Physics Osaka University

• Ohnaka Kohzaburo

  Department Of Applied Physics Graduate School Of Engineering Osaka University

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