Generalized Solution of Inverse Problem for Ising Connection Matrix on d-Dimensional Hypercubic Lattice

We analyze a connection matrix of a [Formula: see text]-dimensional Ising system and solve the inverse problem, restoring the constants of interaction between spins, based on the known spectrum of its eigenvalues. When the boundary conditions are periodic, we can account for interactions between spi...

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Autores principales: Kryzhanovsky, Boris, Litinskii, Leonid
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9602111/
https://www.ncbi.nlm.nih.gov/pubmed/37420444
http://dx.doi.org/10.3390/e24101424
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author Kryzhanovsky, Boris
Litinskii, Leonid
author_facet Kryzhanovsky, Boris
Litinskii, Leonid
author_sort Kryzhanovsky, Boris
collection PubMed
description We analyze a connection matrix of a [Formula: see text]-dimensional Ising system and solve the inverse problem, restoring the constants of interaction between spins, based on the known spectrum of its eigenvalues. When the boundary conditions are periodic, we can account for interactions between spins that are arbitrarily far. In the case of the free boundary conditions, we have to restrict ourselves with interactions between the given spin and the spins of the first [Formula: see text] coordination spheres.
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spelling pubmed-96021112022-10-27 Generalized Solution of Inverse Problem for Ising Connection Matrix on d-Dimensional Hypercubic Lattice Kryzhanovsky, Boris Litinskii, Leonid Entropy (Basel) Article We analyze a connection matrix of a [Formula: see text]-dimensional Ising system and solve the inverse problem, restoring the constants of interaction between spins, based on the known spectrum of its eigenvalues. When the boundary conditions are periodic, we can account for interactions between spins that are arbitrarily far. In the case of the free boundary conditions, we have to restrict ourselves with interactions between the given spin and the spins of the first [Formula: see text] coordination spheres. MDPI 2022-10-06 /pmc/articles/PMC9602111/ /pubmed/37420444 http://dx.doi.org/10.3390/e24101424 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Kryzhanovsky, Boris
Litinskii, Leonid
Generalized Solution of Inverse Problem for Ising Connection Matrix on d-Dimensional Hypercubic Lattice
title Generalized Solution of Inverse Problem for Ising Connection Matrix on d-Dimensional Hypercubic Lattice
title_full Generalized Solution of Inverse Problem for Ising Connection Matrix on d-Dimensional Hypercubic Lattice
title_fullStr Generalized Solution of Inverse Problem for Ising Connection Matrix on d-Dimensional Hypercubic Lattice
title_full_unstemmed Generalized Solution of Inverse Problem for Ising Connection Matrix on d-Dimensional Hypercubic Lattice
title_short Generalized Solution of Inverse Problem for Ising Connection Matrix on d-Dimensional Hypercubic Lattice
title_sort generalized solution of inverse problem for ising connection matrix on d-dimensional hypercubic lattice
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9602111/
https://www.ncbi.nlm.nih.gov/pubmed/37420444
http://dx.doi.org/10.3390/e24101424
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