Integral-difference collision operators: Analytical and numerical spectral analysis

DOI10.1063/1.532735zbMath0964.82031OpenAlexW2079053877MaRDI QIDQ4701896

E. A. Yarevskii, Yu. B. Mel'nikov

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532735

zbMATH Keywords

spectral propertiesthermodynamical limitasymptotic estimate of lowest eigenvalueintegral-difference collision operatorstruncated Gaussian equilibrium distribution function

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Numerical integration (65D30) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (8)

A class of integral-difference operators in a plane: Spectral analysis and application to thin films relaxation in an attractive field ⋮ On a new class of special functions generated by integral-difference operators ⋮ Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes ⋮ Inverse problem for integral-difference operators on graphs ⋮ A new approach to constructing Green's functions and integral solutions in thermoelasticity ⋮ Hypergeometric representations and differential-difference relations for some kernels appearing in mathematical physics ⋮ On the concentration of the spectrum of integral-difference collision operator with Gaussian equilibrium distribution function in a vicinity of zero ⋮ New spectral estimations for a class of integral-difference operators and generalisation to higher dimensions

Cites Work

• Quantum chaos, complex spectral representations and time-symmetry breaking
• On spectral analysis of an integral-difference operator

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