A numerical method to compute exactly the partition function with application to \(Z(n)\) theories in two dimensions.

DOI10.1007/BF01013669zbMath1086.82548MaRDI QIDQ1963728

Gyan Bhanot

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

zerosscalingexponentsPotts and Ising modelsexact partition function

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (11)

Density of Yang--Lee zeros and Yang--Lee edge singularity for the antiferromagnetic Ising model ⋮ New algorithm of the high-temperature expansion for the Ising model in three dimensions ⋮ STATISTICAL MECHANICS OF EQUILIBRIUM AND NONEQUILIBRIUM PHASE TRANSITIONS: THE YANG–LEE FORMALISM ⋮ Partition function zeros and the three-dimensional Ising spin glass ⋮ Distribution for fermionic discrete lattice gas within the canonical ensemble ⋮ Large-\(q\) expansion of the energy and magnetization cumulants for the two-dimensional \(q\)-state Potts model. ⋮ FINITE-SIZE CORRECTIONS TO CORRELATION FUNCTION AND SUSCEPTIBILITY IN 2D ISING MODEL ⋮ Complex-\(q\) zeros of the partition function of the Potts model with long-range interactions ⋮ The location of the Fisher zeros and estimates of y _T = 1/ν are found for the Baxter–Wu model ⋮ Partition function zeros of the \(Q\)-state Potts model on the simple-cubic lattice ⋮ Synergistic development of differential approximants and the finite lattice method in lattice statistics

Cites Work

• Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
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