Universal Finite-size Scaling Functions with Exact Non-universal Metric Factors

Abstract

Using exact partition functions and finite-size corrections for the Ising model on finite square, plane triangular, and honeycomb lattices, we obtain universal finite-size scaling functions for the specific heat, the internal energy, and the free energy of the Ising model on these lattices with exact non-universal metric factors.

arXiv comment11 pages including 3 figures

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• Universality of the Ising and the S=1 model on Archimedean lattices: A Monte Carlo determination
• Finite-size corrections and scaling for the dimer model on the checkerboard lattice
• Exact three spin correlation function relations for the square and the honeycomb Ising lattices
• Mapping functions and critical behavior of percolation on rectangular domains
• Scaling relations and finite-size scaling in gravitationally correlated lattice percolation models
• Criticality in Alternating Layered Ising Models: II. Exact Scaling Theory
• Exact finite-size corrections for the spanning-tree model under different boundary conditions
• Criticality in Alternating Layered Ising Models : I. Effects of connectivity and proximity
• Universality and scaling in human and social systems