2009/08/12 by Piotr Nowakowski, Marek Napiórkowski · 1 citation
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Boundary value problem #Critical phenomena #Ising model #Quantum many-body systems #Scaling #Surface (topology) #Theoretical and Computational Physics #Transfer matrix #Wetting #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8113/42/47/475005
arxiv created 2009/08/12 · openalex publication_date 2009/11/06 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider d=2 Ising strip with surface fields acting on boundary spins. Using the properties of the transfer matrix spectrum we identify two pseudotransition temperatures and show that they satisfy similar scaling relations as expected for real transition temperatures in strips with d>2. The solvation force between the boundaries of the strip is analysed as a function of temperature, surface fields and the width of the strip. For large widths the solvation force can be described by scaling functions in three different regimes: in the vicinity of the critical wetting temperature of 2D semi-infinite system, in the vicinity of the bulk critical temperature, and in the regime of weak surface fields where the critical wetting temperature tends towards the bulk critical temperature. The properties of the relevant scaling functions are discussed.