Creating materials in which heat propagates along a line: theory and numerical results

2015/12/31 by Ramm, Alexander G., Van, C.
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1512.09305

Abstract

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.

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