Alexander Zhmakin was born on December 3rd, 1951 in Leningrad, USSR. He completed his education at the Leningrad Polytechnical Institute, graduating in 1974. In 1980, he obtained his PhD in the field of numerical simulation of nonequilibrium shocked flows. He later received his Dr.Sci. in 1992, for his work on the numerical simulation of gas phase and liquid phase epitaxy. Zhmakin's main interests include computational fluid dynamics and heat transfer, as well as the simulation of single crystal growth and cryobiology.

• 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.

Alexander Zhmakin was born on December 3rd, 1951 in Leningrad, USSR. He completed his education at the Leningrad Polytechnical Institute, graduating in 1974. In 1980, he obtained his PhD in the field of numerical simulation of nonequilibrium shocked flows. He later received his Dr.Sci. in 1992, for his work on the numerical simulation of gas phase and liquid phase epitaxy. Zhmakin's main interests include computational fluid dynamics and heat transfer, as well as the simulation of single crystal growth and cryobiology.

• 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.

Alexander Zhmakin was born on December 3rd, 1951 in Leningrad, USSR. He completed his education at the Leningrad Polytechnical Institute, graduating in 1974. In 1980, he obtained his PhD in the field of numerical simulation of nonequilibrium shocked flows. He later received his Dr.Sci. in 1992, for his work on the numerical simulation of gas phase and liquid phase epitaxy. Zhmakin's main interests include computational fluid dynamics and heat transfer, as well as the simulation of single crystal growth and cryobiology.

• 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.