New family of symmetric orthogonal polynomials and a solvable model of a kinetic spin chain

DOI10.1063/5.0011201zbMath1454.82023arXiv2004.08679OpenAlexW3092546078MaRDI QIDQ5141099

T. Kalvoda, František Štampach

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08679

zbMATH Keywords

hypergeometric seriesmagnetizationIsing spin chain

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Statistical mechanics of magnetic materials (82D40)

Uses Software

• DLMF

Cites Work

• Markov's theorem revisited
• A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices
• q-Integral and Moment Representations for q-Orthogonal Polynomials
• Applications of tridiagonal matrices in non-equilibrium statistical physics
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On Sieved Orthogonal Polynomials. V: Sieved Pollaczek Polynomials
• Orthogonal polynomials
• Thermal contact through a two-temperature kinetic Ising chain
• Complete solution of the kinetics in a far-from-equilibrium Ising chain
• Time-Dependent Statistics of the Ising Model
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