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

Er'el Granot; Nisim Cohen; Shmuel Sternklar

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

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 0812.5109 v1 pith:RZ22FLWC submitted 2008-12-30 cond-mat.dis-nn

Er'el Granot , Nisim Cohen , Shmuel Sternklar This is my paper · ORCID

classification cond-mat.dis-nn

keywords equationdiffusivefouriermediumrandomwavebackedconsisting

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle
hep-th 2019-09 reject novelty 5.0 of 10

A variational extension of the Keldysh formalism to spatially varying temperature yields a heat equation and a proposed Tolman thermal equivalence principle linking non-equilibrium flat-space fermions to equilibrium c...

Pith tools