On the solution of the Heaviside - Klein - Gordon thermal equation for heat transport in graphene

2007/11/26 by Magdalena Pelc, Pelc, Magdalena
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Thermal properties of materials #Thermoelastic and Magnetoelastic Phenomena #Thermography and Photoacoustic Techniques #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0711.4073

8 pages

arxiv created 2007/11/26 · openalex publication_date 2007/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report studies of the solution of the Heaviside - Klein - Gordon thermal equation. As the result it is shown that the solution consists of two components: the fast thermal wave and slow diffusion for very large (compared to relaxation time) time period. We argue that the fast thermal wave can be recognized as the indication of the ballistic heat transport. As an example we consider the ballistic heat transport in graphene.

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