Non-Fourier Heat Conduction : From Phase-Lag Models to Relativistic and Quantum Transport / by Alexander I. Zhmakin.

Format:

Book

Author/Creator:

Zhmakin, Alexander I., author.

Language:

English

Subjects (All):

Physics.

Mathematical physics.

Statistical physics.

Soft condensed matter.

Thermodynamics.

Heat engineering.

Heat--Transmission.

Heat.

Mass transfer.

Classical and Continuum Physics.

Mathematical Methods in Physics.

Statistical Physics.

Soft and Granular Matter.

Engineering Thermodynamics, Heat and Mass Transfer.

Local Subjects:

Classical and Continuum Physics.

Mathematical Methods in Physics.

Statistical Physics.

Soft and Granular Matter.

Engineering Thermodynamics, Heat and Mass Transfer.

Physical Description:

1 online resource (419 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2023.

Summary:

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.

Contents:

1. Introduction

2. Phase-Lag Models

3. Phonon Models

4. Thermomass Model

5. Mesoscopic Moment Equations

6. Micro-Temperature & Micromorphic Temperature Models

7. Thermodynamic Models

8. Fractional Derivative Models

9. Fractional Boltzmann and Fokker-Planck equations

10. Elasticity and thermal expansion coupling

11. Some Exact Solutions

12. Relativistic Brownian Motion

13. Relativistic Boltzmann Equation

14. Variational Models

15. Relativistic Thermodynamics

16. Landauer approach

17. Green-Kubo approach

18. Coherent Phonon Transport

19. Conclusions.

Notes:

Includes bibliographical references.

Other Format:

Print version: Zhmakin, Alexander I. Non-Fourier Heat Conduction

ISBN:

3-031-25973-4