Author(s):
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

Abstract:
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.

Key words:
neighbor-avoiding walks, polymer conformations, connectivity constant

Thematic field:
SYMPOSIUM A - Science of matter, condensed matter and physics of solid states

Date of abstract submission:
06.07.2023.

Conference:
Contemporary Materials 2023 - Savremeni materijali

Final paper