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Scaling of solvation force in two-dimensional Ising strips

2008/08/25 by Piotr Nowakowski, P. Nowakowski, Marek Napiórkowski +1 · 3 citations
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.78.060602

arxiv created 2008/08/25 · openalex publication_date 2008/12/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The solvation force for two-dimensional Ising strips is calculated via exact diagonalization of the transfer matrix in two cases: the symmetric case corresponds to identical surface fields and the antisymmetric case to exactly opposite surface fields. In the symmetric case the solvation force is always negative (attractive), while in the antisymmetric case the solvation force is positive (repulsive) at high temperatures and negative at low temperatures. It changes sign close to the critical wetting temperature characterizing the semi-infinite system. The properties of the solvation force are discussed, and the scaling function describing its dependence on temperature, surface field, and strip's width is proposed.

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