Author(s):
1. Dušanka Marčetić, Prirodno-matematički fakultet Banja Luka, Republic of Srpska, Bosnia and Herzegovina
2. Sunčica Elezović-Hadžić, University of Belgrade, Faculty of Physics, Serbia
3. Ivan Živić, Univerzitet u Kragujevcu, Prirodno-matematički fakultet, , Serbia

Abstract:
In this paper we present a solution to the close-packed dimer problem on a fractal lattice. The dimer model is canonical model in statistical physics related with many physical phenomena. Originally, it was introduced as a model for adsorption of diatomic molecules on surfaces. Here we assume that the two dimensional substrate on which the adsorption occurs is nonhomogeneous and we represent it by the modified rectangular (MR) fractal lattice. Self-similarity of the fractal lattice enables exact recursive enumeration of all close-packed dimer configurations at every stage of fractal construction. Asymptotic form for the overall number of dimer coverings is determined and entropy per monomer in the thermodynamic limit is obtained.

Key words:
dimer configurations, adsorption, fractals, entropy

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

Date of abstract submission:
29.05.2018.

Conference:
Contemporary Materials 2018 - Savremeni Materijali