E W James et al 2003 J. Phys. A: Math. Gen. 36 11575 doi:10.1088/0305-4470/36/46/003
E W James1, C E Soteros2 and S G Whittington2
Show affiliationsWe consider a self-avoiding walk on the simple cubic lattice, as a model of localization of a random copolymer at an interface between two immiscible liquids. The vertices of the walk are coloured A or B randomly and independently. The two liquid phases are represented by the two half-spaces z > 0 and z < 0, and the plane z = 0 corresponds to the interface between the two liquids. The energy depends on the numbers of A-vertices with positive z-coordinate and B-vertices with negative z-coordinate. In addition there is a vertex–interface interaction, irrespective of the colour of the vertex. We use exact enumeration and series analysis techniques to investigate the form of the phase diagram and how it changes as the magnitude of the vertex–interface interaction changes.
05.40.Fb Random walks and Levy flights
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 46 (21 November 2003)
Received 13 June 2003
Published 5 November 2003
E W James et al 2003 J. Phys. A: Math. Gen. 36 11575
E W James et al 2003 J. Phys. A: Math. Gen. 36 11187
C E Soteros and S G Whittington 2004 J. Phys. A: Math. Gen. 37 R279
C E Soteros 2006 J. Phys.: Conf. Ser. 42 258
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