Adsorption of a self-avoiding walk, a real space renormalisation group study of d=2,3
- 21 December 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (18) , 4333-4342
- https://doi.org/10.1088/0305-4470/16/18/033
Abstract
The author presents a real space renormalisation group calculation for the adsorption of a single self-avoiding walk in d dimensions at a (d-1)-dimensional impenetrable wall. The case d=3 is used to check the method. For d=2 the result for the crossover exponent phi gives phi =0.55+or-0.15. This, in connection with enumerations of Ishinabe (1982), clearly rules out de Gennes' (1972, 1976, 1977) conjecture phi =1-v also for the case d=2. For d=2 cells up to 6*6 are used, for d=3 cells up to 3*3*3.Keywords
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