Emergence of the Macroscopic Fourier Law from the Microscopic Wave Equation of Diffusive Medium
classification
❄️ cond-mat.dis-nn
keywords
equationdiffusivefouriermediumrandomwavebackedconsisting
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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.
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