Abstract
The two group (TG), which assumes that in 1D, heat (or mass) is carried out by two groups of carriers moving with a well-defined finite velocity in the opposite directions, has been generalized to the nonlocal case. The nonlocal TG model leads to a third-order partial differential equation of hyperbolic type, which contains a hierarchy of evolution equations occurring on different time and space scales, including Guyer–Krumhansl and Jeffery type parabolic equations, second-order hyperbolic (telegraph) equation and ultimately classical Fourier diffusive equation. Using complex-valued dispersion analysis, analytical expressions for the real and imaginary parts of the wave number, phase and group wave velocities are obtained and analyzed.
Published Version
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