Piotr Nowakowski and Marek Napiórkowski 2009 J. Phys. A: Math. Theor. 42 475005 doi:10.1088/1751-8113/42/47/475005
Piotr Nowakowski and Marek Napiórkowski
Show affiliationsWe consider the 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 the 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.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Soft matter, liquids and polymers
Condensed matter: electrical, magnetic and optical
Issue 47 (27 November 2009)
Received 12 August 2009, in final form 6 September 2009
Published 6 November 2009
Piotr Nowakowski and Marek Napiórkowski 2009 J. Phys. A: Math. Theor. 42 475005
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