THE CONNECTIVITY CONSTANT OF NEIGHBOR-AVOIDING WALKS ON A FRACTAL LATTICE

1. Dušanka Marčetić, Univerzitet u Banjoj Luci, Prirodno-matematički fakultet, Republic of Srpska, Bosnia and Herzegovina
2. Biljana Pećanin, Univerzitet u Banjoj Luci, Tehnološki fakultet, Republic of Srpska, Bosnia and Herzegovina

We consider Neighbor-avoiding walks (NAWs) on the fractal, 3-simplex lattice. NAWs are self-avoiding random walks that never visit any site of the lattice that is a nearest neighbor of the previously visited site (contact). They are simple models of polymer conformations in an extraordinary good solvent (usually referred to as super-perfect solvent). A closed form expression for the connectivity constant of NAWs on the 3-simplex lattice, which determines the entropy of a polymer in the thermodynamic limit, is obtained and confirmed numerically. The exclusion of the nearest neighbors has led to a reduced value of the connectivity constant and thus the entropy, in comparison with ordinary self-avoiding walks, as expected.

Ključne reči :

Tematska oblast: SIMPOZIJUM A - Nauka materije, kondenzovane materije i fizika čvrstog stanja

Datum: 06.07.2023.

Contemporary Materials 2023 - Savremeni materijali

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