Transfer-matrix study of the adsorption of a flexible self-avoiding polymer chain in two dimensions
- 21 April 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (8) , 1131-1140
- https://doi.org/10.1088/0305-4470/22/8/026
Abstract
The authors model the polymer as a self-avoiding walk on a semi-infinite square lattice with an energy contribution - in from each step along the lattice boundary. The critical adsorption temperature Ta and the 'ordinary' and 'special' surface exponents of the walk above and at the adsorption temperature, respectively, are estimated with transfer-matrix finite-size scaling methods. For the adsorption temperature they obtain exp( in /kTa)=2.041+or-0.002, and for the crossover and susceptibility exponents of the special transition, phi sp=0.501+or-0.003 and gamma 1sp=1.454+or-0.004.Keywords
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