title: Transformation thermodynamics: cloaking and concentrating heat flux.
abstract: We adapt tools of transformation optics, governed by a (elliptic) wave equation, to thermodynamics, governed by the (parabolic) heat equation. We apply this new concept to an invibility cloak in order to thermally protect a region (a dead core) and to a concentrator to focus heat flux in a small region. We finally propose a multilayered cloak consisting of 20 homogeneous concentric layers with a piecewise constant isotropic diffusivity working over a finite time interval (homogenization approach).
authors.affiliation: Institut Fresnel, UMR CNRS 6133, Aix-Marseille Universite, Campus universitaire de Saint-Jerome, Marseille 13013, France. sebastien.guenneau@fresnel.fr
authors.forename: Sebastien
authors.initials: S
authors.lastname: Guenneau
authors.forename: Claude
authors.initials: C
authors.lastname: Amra
authors.forename: Denis
authors.initials: D
authors.lastname: Veynante
mesh_terms: D003198:Computer Simulation; D006358:Hot Temperature; D008027:Light; D008962:Models, Theoretical; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation; D013816:Thermodynamics