High-temperature series expansions for the q-state Potts model on a hypercubic lattice and critical properties of percolation

作者: Meik Hellmund , Wolfhard Janke

DOI: 10.1103/PHYSREVE.74.051113

关键词: Series expansionCritical exponentPercolation critical exponentsPotts modelMathematicsCondensed matter physicsStatistical physicsLattice (order)Percolation threshold

摘要: We present results for the high-temperature series expansions of susceptibility and free energy q-state Potts model on a D-dimensional hypercubic lattice ZD arbitrary values q. The are up to order 20 dimension D 1 limit these series, we estimate percolation threshold pc critical exponent gamma bond in different dimensions. also extend 1/D expansion coupling q D-9.

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