E W James et al 2003 J. Phys. A: Math. Gen. 36 11187 doi:10.1088/0305-4470/36/44/001
E W James1, C E Soteros1,2 and S G Whittington1
Show affiliationsWe consider two related n-step self-avoiding walk models of a copolymer at an interface between two bulk phases. In one case the walk is confined to start in the interface while in the other this condition is relaxed. We prove that both models have the same limiting free energy (in the n → ∞ limit) and hence that their phase diagrams are identical. We also show that the limits n → ∞ and certain energy parameters going to plus or minus infinity can be interchanged. These latter results are interesting from the viewpoint of numerical studies.
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 44 (7 November 2003)
Received 30 May 2003
Published 22 October 2003
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
Giovanni Alessandrini et al 2002 Inverse Problems 18 1333
L U Ancarani et al 2007 J. Phys. B: At. Mol. Opt. Phys. 40 2695
G Alessandrini et al 2003 Inverse Problems 19 973
Tihamér Geyer and Jan M Rost 2003 J. Phys. B: At. Mol. Opt. Phys. 36 L107
R K P Zia et al J. Stat. Mech. (2004) L10001
Robert W Carpick et al 2004 J. Phys.: Condens. Matter 16 R679
B Najjari et al 2007 J. Phys. B: At. Mol. Opt. Phys. 40 157