Creating materials in which heat propagates along a line: theory and numerical results
For researchers in heat transfer and metamaterials, this introduces a novel concept for directing heat along a line, though no concrete performance metrics are provided.
The paper develops theory and numerical methods for designing materials where heat propagates along a prescribed line, enabling heat-based information transfer. The approach involves constructing a potential for the heat equation via distributed small impedance particles.
In this paper the theory is developed for creating a material in which the heat is transmitted along a given line. This gives a possibility to transfer information using heat signals. This seems to be a novel idea. The technical part of the theory is the construction of the potential $q(x)$. This potential describes the heat equation $u_t = Δu - q(x)u$ in the limiting medium which is obtained after the small impedance particles are distributed in a given domain. A numerical method is also established to construct numerically such a potential.