A Maciolek 1996 J. Phys. A: Math. Gen. 29 3837 doi:10.1088/0305-4470/29/14/011
Magnetization profiles for a 
Ising strip with opposite surface fields
A Maciolek
Show affiliationsWe obtain an exact solution of the d = 2 infinite 
Ising strip with surface fields of opposite signs 
, 
. Earlier predictions by Parry et al are confirmed of the crucial importance of wetting for a system confined between two parallel walls that exert competitive surface fields. The transition of the magnetization profile m(z) from the partial wetting regime below the critical wetting temperature at a single wall 
with a surface field 
, to the soft-mode single phase in the temperature range 
, where 
is the critical temperature of the bulk system, is described in detail. A scaling ansatz is verified for the singular part of the surface excess free energy, 
and for the profile, 
. The modification of the magnetization profile near one wall, due to wetting, is studied. Near the (-) wall at 
the profile is found to be a linear function of the scaled distance but its slope is different than for the case of perfect asymmetry system 
hence these two cases belong to the different universality regime.
- PACS
-
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects
- MSC
-
82B26 Phase transitions (general)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
-
Condensed matter: electrical, magnetic and optical
- Dates
-
Issue 14 (21 July 1996)
Received 17 May 1995, in final form 8 February 1996
-
Magnetization profiles for a Ising strip with opposite surface fields
A Maciolek 1996 J. Phys. A: Math. Gen. 29 3837
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