Duality of a two-dimensional nonhomogeneous Ising model on a finite lattice

Journal Article · Thu May 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.55.11045· OSTI ID:496706

Bugrij, A I; Shadura, V N ^[1]

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1. Bogolyubov Institute for Theoretical Physics, 252143 Kiev-143 (Ukraine)

Duality relations for the two-dimensional nonhomogeneous Ising model on the finite square lattice wrapped on the torus are obtained. The partition function of the model on the dual lattice with arbitrary combinations of the periodical and antiperiodical boundary conditions along the cycles of the torus is expressed through some specific combination of the partition functions of the model on the original lattice with corresponding boundary conditions. It is shown that the structure of the duality relations is connected with the topological peculiarities of the dual transformation of the model on the torus. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 496706
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 17 Vol. 55; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ISING MODEL
PARTITION FUNCTIONS
TOPOLOGY
TOROIDAL CONFIGURATION
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS