Creating materials in which heat propagates along a line: theory and numerical results
Numerical Analysis
2017-02-02 v2 Mathematical Physics
math.MP
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 . This potential describes the heat equation 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.
Keywords
Cite
@article{arxiv.1512.09305,
title = {Creating materials in which heat propagates along a line: theory and numerical results},
author = {Alexander G. Ramm and C. Van},
journal= {arXiv preprint arXiv:1512.09305},
year = {2017}
}