Exact and Monte Carlo study of the two self-avoiding random walks on the three-dimensional Sierpinski lattices

Details Exact and Monte Carlo study of the two self-avoiding random walks on the three-dimensional Sierpinski lattices Exact and Monte Carlo study of the two self-avoiding random walks on the three-dimensional Sierpinski lattices

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899..629m&link_type=abstract

SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 629-629 (2007).

Physics

Random Walks And Levy Flights, General Studies Of Phase Transitions

Scientific paper

We consider the phenomena of entanglement of the two interacting self-avoiding walks (SAW) situated in a member of the three-dimensional Sierpinski Gasket (SG) fractal family. We focus our attention to determine number of point contacts between the two SAW paths M, which turns out to be a set of power laws whose characteristics depend predominantly on the interactions between SAW steps. The phase diagrams have been establised and corresponding values of the contact critical exponents φ, associated with the two-path mutual contacts, have been found.

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