04348nam 22007455 450 991074450430332120230701083758.03-031-25973-410.1007/978-3-031-25973-9(MiAaPQ)EBC30615179(Au-PeEL)EBL30615179(DE-He213)978-3-031-25973-9(PPN)272255424(CKB)27357726100041(EXLCZ)992735772610004120230701d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierNon-Fourier Heat Conduction From Phase-Lag Models to Relativistic and Quantum Transport /by Alexander I. Zhmakin1st ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (419 pages)Print version: Zhmakin, Alexander I. Non-Fourier Heat Conduction Cham : Springer International Publishing AG,c2023 9783031259722 Includes bibliographical references.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.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.PhysicsMathematical physicsStatistical physicsSoft condensed matterThermodynamicsHeat engineeringHeatTransmissionMass transferClassical and Continuum PhysicsMathematical Methods in PhysicsStatistical PhysicsSoft and Granular MatterEngineering Thermodynamics, Heat and Mass TransferPhysics.Mathematical physics.Statistical physics.Soft condensed matter.Thermodynamics.Heat engineering.HeatTransmission.Mass transfer.Classical and Continuum Physics.Mathematical Methods in Physics.Statistical Physics.Soft and Granular Matter.Engineering Thermodynamics, Heat and Mass Transfer.621536.2012Zhmakin Alexander I.1432710MiAaPQMiAaPQMiAaPQBOOK9910744504303321Non-Fourier Heat Conduction3577759UNINA01248nam0 22003373i 450 PUV021171520251003044311.020070223d1941 ||||0itac50 baitaitz01i xxxe z01nCittà e signoriFranco NiccolaiBolognaZanichelli1941130 p.25 cm.Biblioteca della Rivista di storia del diritto italiano19001CFI00058302001 Biblioteca della Rivista di storia del diritto italiano19ItaliaOrdinamento istituzionaleSec. 5.-15.FIRCFIC074992I340.5Diritto. Sistemi giuridici12342.450090221Ordinamento politicoOrdinamento istituzionaleOrdinamento politicoNiccolai, FrancoPUVV126526070137861ITIT-00000020070223IT-BN0095 NAP 01V $PUV0211715Biblioteca Centralizzata di Ateneo 01V (S) 000 733 01S 0009007335 VMA 1 v.Y 2014050820140508 01Città e signori65977UNISANNIO