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A connection between the ice-type model of Linus Pauling and the three-color problem
dc.contributor.author | Silva, Roberto da | pt_BR |
dc.contributor.author | Nakao, Osvaldo Shigueru | pt_BR |
dc.contributor.author | Felício, José Roberto Drugovich de | pt_BR |
dc.date.accessioned | 2021-03-11T04:24:41Z | pt_BR |
dc.date.issued | 2021 | pt_BR |
dc.identifier.issn | 0143-0807 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/218646 | pt_BR |
dc.description.abstract | The ice-type model proposed by Linus Pauling to explain its entropy at low temperatures is here approached in a didactic way. We first present a theoretically estimated low-temperature entropy and compare it with numerical results. Then, we consider the mapping between this model and the three-colour problem, i.e. colouring a regular graph with coordination equal to 4 (a twodimensional lattice) with three colours, for which we apply the transfer-matrix method to calculate all allowed configurations for two-dimensional square lattices of N oxygen atoms ranging from 4 to 225. Finally, from a linear regression of the transfer matrix results, we obtain an estimate for the case N → ∞ which is compared with the exact solution by Lieb. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | European Journal of Physics. Bristol. Vol. 42, no. 2 (Mar. 2021), 025101, 20 p. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Ice-type model | en |
dc.subject | Entropia | pt_BR |
dc.subject | Física estatística | pt_BR |
dc.subject | Transfer-matrix method | en |
dc.subject | Graph colouring | en |
dc.subject | Matriz de transferência | pt_BR |
dc.subject | Didatic alternatives in statistical physics | en |
dc.title | A connection between the ice-type model of Linus Pauling and the three-color problem | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 001122713 | pt_BR |
dc.type.origin | Estrangeiro | pt_BR |
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