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A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices
Journal article   Peer reviewed

A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices

Carlos M. da Fonseca, Saïd Kouachi, Dan A. Mazilu and Irina Mazilu
Applied mathematics and computation, Vol.259, pp.205-211
15/05/2015
DOI: https://doi.org/10.1016/j.amc.2015.02.058

Abstract

Chebyshev polynomials of second kind Eigenvalues Ising model Jacobi matrices Tridiagonal matrices
In this paper we analyze the eigenvalues of some perturbed Jacobi matrices. The results contain as particular cases the known spectra of several classes of tridiagonal matrices studied recently. As a motivation, we discuss a three and a four-temperature kinetic Ising model that can be analyzed using some perturbed Jacobi matrices. The analytical results can also be used for the associated reaction–diffusion systems to solve for the particle density.

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