1998/11/23 by G. Giugliarelli, Giugliarelli, G., Attilio L. Stella +2
Engineering · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9811320
11 pages, 4 figures (LaTeX with with IOP style files)
arxiv created 1999/01/27 · arxiv updated 2009/11/30
Polymer adsorption on fractally rough walls of varying dimensionality is studied by renormalization group methods on hierarchical lattices. Exact results are obtained for deterministic walls. The adsorption transition is found continuous for low dimension dw of the adsorbing wall and the corresponding crossover exponent ϕ monotonically increases with dw, eventually overcoming previously conjectured bounds. For dw exceeding a threshold value dw^*, ϕ becomes 1 and the transition turns first--order. dw^*>dsaw, the fractal dimension of the polymer in the bulk. An accurate numerical approach to the same problem with random walls gives evidence of the same scenario.