Inverse Problem for Ising Connection Matrix with Long-Range Interaction

Autor: Leonid Litinskii, Boris Kryzhanovsky
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics, Vol 9, Iss 14, p 1624 (2021)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math9141624
Popis: In the present paper, we examine Ising systems on d-dimensional hypercube lattices and solve an inverse problem where we have to determine interaction constants of an Ising connection matrix when we know a spectrum of its eigenvalues. In addition, we define restrictions allowing a random number sequence to be a connection matrix spectrum. We use the previously obtained analytical expressions for the eigenvalues of Ising connection matrices accounting for an arbitrary long-range interaction and supposing periodic boundary conditions.
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