Nonequilibrium Energy Transfer in Nanostructures

  • Zhuomin M. ZhangEmail author
Part of the Mechanical Engineering Series book series (MES)


This chapter begins with a description of the phenomenological theories in which the energy transport processes are represented by a single differential equation or a set of differential equations that can be solved with appropriate initial and boundary conditions. These equations are often called non-Fourier heat equations, which can be considered as extensions of the conventional heat diffusion equation based on Fourier’s law. The limitations of the phenomenological theories are discussed. While the BTE, Monte Carlo method, and MD simulations have been presented in previous chapters, this chapter stresses the application in solid nanostructures, including thermal boundary resistance (TBR) and multilayer structures. The equation of phonon radiative transfer (EPRT) is introduced and used to delineate the diffusive and ballistic heat conduction regimes in thin films. A heat conduction regime with respect to length and time scale is presented, followed by a summary of the contemporary methods for measuring thermal transport properties of solids, thin films, and nanostructures.


Non-Fourier heat equation Nonequilibrium heat conduction Hyperbolic heat equation Two-temperature model Short laser pulse Dual-phase lag Electron–phonon coupling constant Equation of Phonon Radiative Transfer (EPRT) Boundary thermal resistance Acoustic mismatch Atomistic Green’s function Heat conduction regimes Thermal metrology Measurement techniques 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.MariettaUSA

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