Ising chain: thermal conductivity and first-principle validation of Fourier's law

DOI10.1016/J.PHYSA.2023.129161arXiv2303.13432MaRDI QIDQ6054650

Constantino Tsallis, Henrique Santos Lima

Publication date: 28 September 2023

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.13432

zbMATH Keywords

nonextensive statistical mechanicsLangevin dynamicsirreversibilitylinear transport phenomena

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
• Weak solutions to a Penrose-Fife model with Fourier law for the temperature
• Bulk properties of anharmonic chains in strong thermal gradients: non-equilibrium \(\phi^4\) theory
• Towards a derivation of Fourier's law for coupled anharmonic oscillators
• Fourier's law for a microscopic model of heat conduction
• First-principle validation of Fourier's law in \(d = 1, 2, 3\) classical systems

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