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Spectral density in hyperbolic heat conduction due to Gaussian random process

K Etori

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From a temperature correlation derived from a hyperbolic heat conduction equation due to Gaussian random process of an internal heat source, a spectral density is expressed. As a result, an effective range of a relaxation time related to finite high-speed propagation of a thermal wave in a solid is analytically estimated for real values of the spectral density and is compared with an expression derived from the conventional parabolic heat conduction equation.


PACS

02.30.Hq Ordinary differential equations

44.05.+e Analytical and numerical techniques

02.50.-r Probability theory, stochastic processes, and statistics

44.10.+i Heat conduction

66.70.-f Nonelectronic thermal conduction and heat-pulse propagation in solids; thermal waves

02.30.Nw Fourier analysis

Subjects

Mathematical physics

Computational physics

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 8 (14 August 1993)



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