Emergence of the Macroscopic Fourier Law from the Microscopic Wave Equation of Diffusive Medium

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The Fourier law and the diffusion equation are derived from the Schrodinger equation of a diffusive medium (consisting of a random potential). The theoretical model is backed by numerical simulation. This derivation can easily be generalized to demonstrate the transition from any random wave equation to the diffusive equation.
12 pages, 4 figures

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Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/213919

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.5109
 http://arxiv.org/abs/0812.5109

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arXiv