Emergence of the Macroscopic Fourier Law from the Microscopic Wave Equation of Diffusive Medium
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.
cond-mat.dis-nn↗