Non-Fourier Heat Conduction - From Phase-Lag Models to Relativistic and Quantum Transport (Hardcover, 1st ed. 2023)

This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	July 2023
First published:	2023
Authors:	Alexander I. Zhmakin
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	422
Edition:	1st ed. 2023
ISBN-13:	978-3-03-125972-2
Categories:	Books
LSN:	3-03-125972-6
Barcode:	9783031259722

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