Small distance expansion for radiative heat transfer between curved objects

Abstract

We develop a small distance expansion for the radiative heat transfer between gently curved objects, in terms of the ratio of distance to radius of curvature. A gradient expansion allows us to go beyond the lowest order proximity transfer approximation. The range of validity of such expansion depends on temperature as well as material properties. Generally, the expansion converges faster for the derivative of the transfer than for the transfer itself, which we use by introducing a near-field adjusted plot. For the case of a sphere and a plate, the logarithmic correction to the leading term has a very small prefactor for all materials investigated.

5 pages, 3 figures

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Cited by in corpus (13)

• Non-equilibrium Fluctuational Quantum Electrodynamics: Heat Radiation, Heat Transfer, and Force
• Heat radiation and transfer for point particles in arbitrary geometries
• Perspective on Near-Field Radiative Heat Transfer
• Heat radiation and transfer in confinement
• Radiative heat transfer in low-symmetry Bravais crystal
• Casimir-Polder interaction for gently curved surfaces
• Casimir--Polder force between anisotropic nanoparticles and gently curved surfaces
• Interplay of roughness/modulation and curvature at proximity
• Something Can Come of Nothing: Surface Approaches to Quantum Fluctuations and the Casimir Force
• Derivative expansion for the electromagnetic and Neumann Casimir effects in $2+1$ dimensions with imperfect mirrors
• Time-dependent radiative heat flux after the beginning of thermal radiation
• Interplay of curvature and temperature in the Casimir-Polder interaction
• Complex orientation dependence of Casimir-Polder interaction induced by curvature and optical properties of the surface and the surrounding medium