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Equilibrium Statistical Physics Non-equilibrium Statistical Physics Nonlinear Dynamics & Avalanche Process Parallel Computing & Protein Simulation Theoretical Biophysics & Medical Physics Economical & Social Model

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Equilibrium Statistical Physics

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Universal finite-size scaling functions (UFSSFs) and exponents for percolation and Ising models.

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Universal scaling functions in critical phenomena, Phys. Rev. Lett. 75, 193-196  PDF and 2786(E) (1995). PDF

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Universal scaling functions for numbers of percolating clusters on planar lattices, Phys. Rev. Lett. 77, 8-11 (1996). PDF

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Universal finite-size scaling functions for percolation on three-dimensional lattices, Phys. Rev. E 58, 1521-1527 (1998). PDF

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Universal finite-size scaling functions for critical systems with tilt boundary conditions, Phys. Rev. E 59, 1585-1588 (1999). PDF

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Cluster analysis and finite-size scaling for Ising spin systems, Phys. Rev. E. 60, 2716-2720 (1999). PDF

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Universal scaling functions for bond percolation on planar random and square lattices with multiple percolating clusters, Phys. Rev. E 64, 016127 (2001). PDF

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Partition function zeroes of the Potts model.

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Partition function zeroes of the square lattice Potts model, Phys. Rev. Lett. 76, 169-172 (1996). PDF

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Universal amplitude ratios for spin models.

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Exact universal amplitude ratios for two-dimensional Ising models and a quantum spin chain, Phys. Rev. Lett. 86 , 5160-5163 (2001). PDF

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Exact finite-size corrections and UFSSFs for the Ising model.

¡@ ¡@ Universal finite-size scaling function with exact nonuniversal metric factors, Phys. Rev. E 67, 065103 (R) (2003). PDF

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Exact amplitude ratio and finite-size corrections for the MxN square lattice Ising model, Phys. Rev. E 65, 036103 (2002). PDF

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Exact finite-size corrections for the square lattice Ising model with Brascamp-Kunz boundary conditions, Phys. Rev. E 65, 056132 (2002). PDF

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Kronecker's double series and exact asymptotic expansions for free models of statistical mechanics on torus, J. Phys. A: Math. and Gen. 35, 5543-5561 (2002). PDF

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