Radiative-Conductive Heat Transfer Dynamics in Dissipative Dispersive Anisotropic Media
arxiv(2024)
摘要
We develop a self-consistent theoretical formalism to model the dynamics of
heat transfer in dissipative, dispersive, anisotropic nanoscale media, such as
metamaterials. We employ our envelope dyadic Green's function method to solve
Maxwell's macroscopic equations for the propagation of fluctuating
electromagnetic fields in the media. We assume that the photonic radiative heat
transfer mechanism in the media is complemented by phononic mechanisms of heat
storage and conduction, accounting for effects of local heat generation and
material phase transitions. By employing the Poynting theorem and the
fluctuation-dissipation theorem, we derive novel closed-form expressions for
the coupling term of photonic and phononic subsystems, which contains the
heating rate and the radiative heat power terms, as well as for the radiative
heat flux. We apply our formalism to the paraxial heat transfer in uniaxial
media and present relevant closed-form expressions. By considering a Gaussian
transverse temperature profile, we also obtain and solve the
integro-differential heat diffusion equations to model the paraxial heat
transfer in uniaxial reciprocal media.
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