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

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Type
Preprint
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Submission Date
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arXiv ID: 1512.09305
Source
arXiv
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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 $u_t = \Delta u - q(x)u$ 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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