arXiv Open Access 2021

Phonon Boltzmann equation non-local in space and time: the partial failure of the generalized Fourier law

Philip B. Allen

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Abstrak

The purpose of this note is to clarify the solution of the non-local Peierls Boltzmann equation found by Hua and Lindsay (Phys. Rev. B 102, 104310 (2020)). They used methods of Cepellotti and Marzari. The response function "thermal distributor" is discussed. The new, "non-Fourier" term $\vec{B}$ [$\vec{J}_{\rm th}=-κ\vec{\nabla}T +\vec{B}]$ that occurs in non-local situations, gives rise also to a new term in the thermal distributor.

Topik & Kata Kunci

cond-mat.other cond-mat.mes-hall cond-mat.stat-mech

Penulis (1)

Philip B. Allen

Format Sitasi

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Allen, P.B. (2021). Phonon Boltzmann equation non-local in space and time: the partial failure of the generalized Fourier law. https://arxiv.org/abs/2105.14413

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓