## Abstracts

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High Temperature Expansion for the Ising Model on the Dual Penrose Lattice

Tomonari Dotera and Ryuzo Abe

J. Phys. Soc. Jpn. **59** (1990), pp.2064-2077

### Abstract

High temperature expansion for ln *Z* (*Z* : the partition function in the absence of a magnetic field) of the Ising model on the dual Penrose lattice is discussed. The terms up to *w*10 are derived by using projection method. The critical compressibility factor *Z*c and the average correlation function __C__ are calculated in terms of duality relation. The final results are *Z*c = 0.0846 +-0.007 and __C__= 0.7403+-0.0024, which are confirmed by the expansion. Lattice constants are shown in some tables.

### Keywords

critical phenomena, critical compressibility factor, dual Penrose lattice, duality, high temperature expansion, Ising model, lattice constant, projection method, theory