001471712 000__ 04348cam\\2200589\i\4500 001471712 001__ 1471712 001471712 003__ OCoLC 001471712 005__ 20230908003311.0 001471712 006__ m\\\\\o\\d\\\\\\\\ 001471712 007__ cr\cn\nnnunnun 001471712 008__ 230713s2023\\\\sz\a\\\\ob\\\\000\0\eng\d 001471712 019__ $$a1389339749$$a1389611919 001471712 020__ $$a9783031259739$$qelectronic book 001471712 020__ $$a3031259734$$qelectronic book 001471712 020__ $$z9783031259722 001471712 020__ $$z3031259726 001471712 0247_ $$a10.1007/978-3-031-25973-9$$2doi 001471712 035__ $$aSP(OCoLC)1390403133 001471712 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dYDX$$dOCLCQ 001471712 049__ $$aISEA 001471712 050_4 $$aTA418.54$$b.Z46 2023 001471712 08204 $$a536/.2012$$223/eng/20230713 001471712 1001_ $$aZhmakin, Alexander I.,$$eauthor. 001471712 24510 $$aNon-Fourier heat conduction :$$bfrom phase-lag models to relativistic and quantum transport /$$cAlexander I. Zhmakin. 001471712 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2023] 001471712 300__ $$a1 online resource (ix, 422 pages) :$$billustrations 001471712 336__ $$atext$$btxt$$2rdacontent 001471712 337__ $$acomputer$$bc$$2rdamedia 001471712 338__ $$aonline resource$$bcr$$2rdacarrier 001471712 504__ $$aIncludes bibliographical references. 001471712 5050_ $$a1. Introduction -- 2. Phase-Lag Models -- 3. Phonon Models -- 4. Thermomass Model -- 5. Mesoscopic Moment Equations -- 6. Micro-Temperature & Micromorphic Temperature Models -- 7. Thermodynamic Models -- 8. Fractional Derivative Models -- 9. Fractional Boltzmann and Fokker-Planck equations -- 10. Elasticity and thermal expansion coupling -- 11. Some Exact Solutions -- 12. Relativistic Brownian Motion -- 13. Relativistic Boltzmann Equation -- 14. Variational Models -- 15. Relativistic Thermodynamics -- 16. Landauer approach -- 17. Green-Kubo approach -- 18. Coherent Phonon Transport -- 19. Conclusions. 001471712 506__ $$aAccess limited to authorized users. 001471712 520__ $$aThis book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems. 001471712 588__ $$aDescription based on online resource; title from digital title page (viewed on July 25, 2023). 001471712 650_0 $$aThermal conductivity. 001471712 650_0 $$aThermal conductivity$$xMathematical models. 001471712 655_0 $$aElectronic books. 001471712 77608 $$iPrint version:$$aZHMAKIN, ALEXANDER I.$$tNON-FOURIER HEAT CONDUCTION.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2023$$z3031259726$$w(OCoLC)1360265423 001471712 852__ $$bebk 001471712 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-25973-9$$zOnline Access$$91397441.1 001471712 909CO $$ooai:library.usi.edu:1471712$$pGLOBAL_SET 001471712 980__ $$aBIB 001471712 980__ $$aEBOOK 001471712 982__ $$aEbook 001471712 983__ $$aOnline 001471712 994__ $$a92$$bISE