Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion

Autor: A. V. Myshlyavtsev, M. D. Myshlyavtseva
Jazyk: English<br />Russian
Rok vydání: 2018
Předmět:
Zdroj: Омский научный вестник, Vol 3 (159), Pp 118-122 (2018)
Druh dokumentu: article
ISSN: 1813-8225
2541-7541
DOI: 10.25206/1813-8225-2018-159-118-122
Popis: The hard-core lattice gas on a triangular lattice with up to thirdneighbour exclusion has been simulated by the transfer matrix method. To calculate the transfer matrix a special algorithm for generating rings is used. The algorithm is based on the selection of admissible states of rings directly in the process of their construction. This approach allows us to increase the available sizes of rings. Isotherms have been constructed for all three models. For the first and second models, the previously obtained results are reproduced. For the third model, it is found that there is a first-order phase transition and the unit cell size of the ordered phase is equal to seven.
Databáze: Directory of Open Access Journals