Thermodynamical averages for the Ising model and spectral invariants of Toeplitz matrices

DOI10.1134/S0040577920060069zbMath1446.82014OpenAlexW3041014133MaRDI QIDQ2193744

V. M. Kaplitskiĭ

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577920060069

zbMATH Keywords

asymptoticsToeplitz matrixIsing modelstatistical modelspecific free energy

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Statistical thermodynamics (82B30) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Asymptotics of eigenvalues of symmetric Toeplitz band matrices
• Integrable models and combinatorics
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