Work

Transfer matrix in counting problems

Year: 2021

Type: article

Abstract: The transfer matrix is a powerful technique that can be applied to statistical mechanics systems as, for example, in the calculus of the entropy of the ice model. One interesting way to study such systems is to map it onto a three-color problem. In this paper, we explicitly build the transfer matrix for the three-color problem in order to calculate the number of possible configurations for finite systems with free, periodic in one direction and toroidal boundary conditions (periodic in both directions)

Source: International Journal of Modern Physics C

DOI: 10.1142/s0129183122500322

Authors: Roberto da Silva, Silvio R. Dahmen, J. R. Drugowich de Felício

Institutions: Universidade Federal do Rio Grande do Sul, Universidade de São Paulo

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: G5723391385, G5961858111