Piotr Nowakowski and Marek Napiórkowski 2009 J. Phys. A: Math. Theor. 42 475005 doi:10.1088/1751-8113/42/47/475005
Properties of the solvation force of a two-dimensional Ising strip in scaling regimes
Piotr Nowakowski and Marek Napiórkowski
Show affiliations
a 69, 00-681 Warszawa, Poland
We 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.
- PACS
-
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
- MSC
-
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
-
Soft matter, liquids and polymers
Condensed matter: electrical, magnetic and optical
- Dates
-
Issue 47 (27 November 2009)
Received 12 August 2009, in final form 6 September 2009
Published 6 November 2009
-
Properties of the solvation force of a two-dimensional Ising strip in scaling regimes
Piotr Nowakowski and Marek Napiórkowski 2009 J. Phys. A: Math. Theor. 42 475005
-
Self-patterning of a polydimethylsiloxane microlens array on functionalized substrates and characterization by digital holography
F Merola et al 2009 J. Micromech. Microeng. 19 125006
-
Orientation-dependent x-ray Raman scattering from cubic crystals: Natural linear dichroism in MnO and CeO2
R A Gordon et al 2009 J. Phys.: Conf. Ser. 190 012047
-
Electron transfer during selenium reduction by iron surfaces in aqueous solution: High resolution X-ray absorption study
K O Kvashnina et al 2009 J. Phys.: Conf. Ser. 190 012191
-
Stability of silver cluster in zeolite A and Y catalysts
Takashi Yamamoto et al 2009 J. Phys.: Conf. Ser. 190 012171
-
Switching behaviour of coupled antiferro- and ferromagnetic systems: exchange bias
Per-Anker Lindgård 2009 J. Phys.: Condens. Matter 21 474225
-
The ATLAS-Canada network
I Gable et al 2008 J. Phys.: Conf. Ser. 119 052032
-
Measurement of wakefield intensity
T Nandi and B P Mohanty 2009 J. Phys. B: At. Mol. Opt. Phys. 42 225402
-
Potential antitumor gold drugs: DFT and XANES studies of local atomic and electronic structure
M A Soldatov et al 2009 J. Phys.: Conf. Ser. 190 012210
-
A Simple Scheme for Two-Qubit Grover Search in Hot Trapped Ions
Zheng Xiao-Juan et al 2009 Chinese Phys. Lett. 26 110301
Users also read
What's this?- Parity-odd effects and polarization rotation in graphene
- On the generation of anomalous diffusion
- Degree-based graph construction
Related review articles
What's this?- The effective temperature
- Unconventional phase transitions in a constrained single polymer chain
- On the uncertainty in the regularized solution