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

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

2008-12-30

arxiv.org/abs/0812.5109v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 4 figures

Scientific paper

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.

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