Inverse Problem for Ising Connection Matrix with Long-Range Interaction
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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.
2020 ◽
Vol 53
(47)
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pp. 475002
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2020 ◽
Vol 558
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pp. 124929
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2018 ◽
Vol 10
(1)
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pp. 01022-1-01022-5
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2021 ◽
Vol 1762
(1)
◽
pp. 012016
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