Connection-Matrix Eigenvalues in the Ising Model: Taking into Account Interaction with Next-Nearest Neighbors

Autor:	Leonid Litinskii, Boris Kryzhanovsky
Rok vydání:	2019
Předmět:	Energy distribution Computational Mechanics General Physics and Astronomy 02 engineering and technology Partition function (mathematics) 01 natural sciences 010305 fluids & plasmas Connection (mathematics) Matrix (mathematics) 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials 0103 physical sciences Ising model Statistical physics Boundary value problem Hypercube Eigenvalues and eigenvectors Mathematics
Zdroj:	Doklady Physics. 64:414-417
ISSN:	1562-6903 1028-3358
Popis:	The connection matrix of the Ising model on a d -dimensional hypercube is investigated. In addition to the interactions between the nearest neighbors, the interactions between the next-nearest neighbors are taken into account. For such a matrix, the exact relations for the eigenvalues and eigenvectors, which are reasonably simply expressed through the corresponding characteristics of the one-dimensional Ising model, are obtained. Both periodic and free boundary conditions are considered.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::35966ad96d3eff02b215d0e07a1faf58 https://doi.org/10.1134/s1028335819110065 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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