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A Verberkmoes

Publications and source records attributed to A Verberkmoes.

3 recordsLinked to original sources
PubMed2001

Bethe ansatz solution of triangular trimers on the triangular lattice.

Recently, a model consisting of triangular trimers covering the triangular lattice was introduced and its exact free energy given. In this paper we present the complete calculation leading to this exact result. The solution involves a coordinate Bethe ansatz with two kinds of particles. It is similar to that of the square-triangle random tiling model by Widom and Kalugin. The connection of the trimer model with related solvable models is discussed.

Journal Article↗
PubMed1999

Evidence against a three-phase point in a binary hard-core lattice model.

Using Monte Carlo simulation, Van Duijneveldt and Lekkerkerker [Phys. Rev. Lett. 71, 4264 (1993)] found gas-liquid-solid behavior in a simple two-dimensional lattice model with two types of hard particles. The same model is studied here by means of numerical transfer-matrix calculations, focusing on the finite-size scaling of the gaps between the largest few eigenvalues. No evidence for a gas-liquid transition is found. We discuss the relation of the model with a solvable restricted solid-on-solid model of which the states obey the same exclusion rules. Finally, a detailed analysis of the relation with the dilute three-state Potts model strongly supports the tricritical point rather than a three-phase point.

Journal Article↗