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

DOI10.1016/j.amc.2015.02.058zbMath1390.15098OpenAlexW1997108895MaRDI QIDQ1636838

Dan A. Mazilu, Irina Mazilu, Said Kouachi, Carlos Martins de Fonseca

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.058

zbMATH Keywords

eigenvaluesJacobi matricesIsing modeltridiagonal matricesChebyshev polynomials of second kind

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Canonical forms, reductions, classification (15A21) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Inverse sum Indeg index and ISI matrix of graphs ⋮ Analytical solution of open crystalline linear 1D tight-binding models ⋮ Eigenpairs of a family of tridiagonal matrices: three decades later ⋮ New family of symmetric orthogonal polynomials and a solvable model of a kinetic spin chain ⋮ Spectra of certain large tridiagonal matrices ⋮ Eigenvalues and eigenvectors of tau matrices with applications to Markov processes and economics ⋮ Remarks on the eigenpairs of some Jacobi matrices ⋮ Nonlocality of observable algebras in quasi-Hermitian quantum theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive integer powers of one type of complex tridiagonal matrix
• On computing of arbitrary positive integer powers for one type of tridiagonal matrices of even order
• On the eigenvalues of some tridiagonal matrices
• On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(1, 0, 0,\dots, 0, 1\) in principal and \(1, 1, 1,\dots,1\) in neighbouring diagonals. II.
• On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(1, 0, 0,\dots,0, 1\) in principal and \(1, 1, 1,\dots, 1\) in neighbouring diagonals. I
• Positive integer powers of complex skew-symmetric circulant matrices
• Positive integer powers of complex symmetric circulant matrices
• A modified epidemiological model for computer viruses
• On the location of the eigenvalues of Jacobi matrices
• Eigenvalues and eigenvectors of some tridiagonal matrices
• Two-point correlations and critical line of the driven Ising lattice gas in a high-temperature expansion
• On computing of arbitrary positive integer powers for one type of tridiagonal matrices
• Powers of tridiagonal matrices with constant diagonals
• Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals
• On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with eigenvalues on imaginary axis. I.
• On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with eigenvalues on imaginary axis. II.
• Bounds for the extremal eigenvalues of a class of symmetric tridiagonal matrices with applications
• Positive integer powers of certain complex tridiagonal matrices
• Eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries
• Eigenvalues and eigenvectors of tridiagonal matrices
• Time-Dependent Statistics of the Ising Model