We also outline the reasoning leading to Fourier's law for heat conduction.doi:10.1007/s10955-006-9144-5Herbert SpohnZentrum Mathematik and Physik Department TU MünchenKluwer Academic Publishers-Plenum PublishersJournal of Statistical PhysicsHerbert Spohn. The phonon Boltzmann equation, properties and ...
A model for phonon heat conduction in a semiconductor nanowire with dimensions comparable to the phonon mean free path is developed. It is based on the solution of Boltzmann's equation, which takes into account (i) modification of the acoustic phonon dispersion due to spatial confinement, and (...
In particular, the properties of long-wavelength phonons give rise to sound in solids—hence the name phonon from the Greek φωνή (phonē) = voice. In insulating solids, phonons are also the primary mechanism by which heat conduction takes place. 展开 被引量: 11 ...
and are enabling the engineering of phonons towards desired thermal properties. We review recent discoveries of both inorganic and organic materials with ultrahigh and low thermal conductivity, highlighting heat-conduction physics, strategies used to change thermal conductivity, and future directions to achi...
Based on the phonon Boltzmann transport equation under the relaxation time approximation, analytical expressions for the temperature profiles of both the steady state and modulated heat conduction inside a thin film deposited on a substrate are derived and analyzed. It is shown that these components ...
Presents information on a study which solved the Boltzmann transport equation (BTE) for phonon transport using the Monte Carlo method. Discussion on heat conduction in crystalline materials; Theory of phonons and the BTE of phonons; Details on the Monte Carlo solution technique; Results and discussio...
The phonon gas flowing through the media is characterized by the balance equation of momentum, like the Navier-Stokes equation for fluid mechanics. Generalized heat conduction law thereby contains the spatial acceleration (convection) term and the viscous (Laplacian) term. The viscous term predicts ...
In this paper, the phonon Boltzmann equation model is established to study the phonon thermal conductivity of nanocomposites with nanowires embedded in a h... R Yang,C Gang - 《Physical Review B》 被引量: 516发表: 2004年 Electron-phonon interaction in quasi-two-dimensional systems We present ...
Simulation nanoscale multidimensional transient heat conduction problems using ballistic diffusive equations and phonon Boltzmann equation ASME J. Heat Transfer (2005) D.Y. Tzou A unified approach for heat conduction from macro- to micro-scale ASME J. Heat Transfer (1995) D.Y. Tzou Macro to Micr...
Instead, at this scale, the phonon Boltzmann transport equation accurately describes heat conduction. GiftBTE employs numerical methods to solve this equation and simulates submicron heat conduction. It takes phonon properties from first-principles simulations as input and provides a built-in database ...