A simple Boltzmann transport equation for ballistic to diffusive transient heat transport
نویسندگان
چکیده
منابع مشابه
Generalized Ballistic-Diffusive Formulation and Hybrid SN-PN Solution of the Boltzmann Transport Equation for Phonons for Nonequilibrium Heat Conduction
A generalized form of the ballistic-diffusive equations (BDEs) for approximate solution of the Boltzmann Transport equation (BTE) for phonons is formulated. The formulation presented here is new and general in the sense that, unlike previously published formulations of the BDE, it does not require a priori knowledge of the specific heat capacity of the material. Furthermore, it does not introdu...
متن کاملBallistic and diffusive transport of energy and heat in metals
We exploit a recently developed formalism to study the temporal behavior of the energy and heat transport in metals. This formalism shows the transition between ballistic and diffusive regimes and it highlights some interesting effects such as oscillations in the energy transport at very short-time scales. The energy relaxation of the conduction-band electrons in metals is considered to be gove...
متن کاملSlip Boundary Conditions in Ballistic–Diffusive Heat Transport in Nanostructures
Ballistic–diffusive heat conduction, which is predominantly affected by boundaries and interfaces, will occur in nanostructures whose characteristic lengths are comparable to the phonon mean free path (MFP). Here, we demonstrated that interactions between phonons and boundaries (or interfaces) could lead to two kinds of slip boundary conditions in the ballistic– diffusive regime: boundary tempe...
متن کاملBallistic-diffusive Phonon Heat Transport across Grain Boundaries
The propagation of a heat pulse in a single crystal and across grain boundaries (GBs) is simulated using a concurrent atomistic-continuum method furnished with a coherent phonon pulse model. With a heat pulse constructed based on a Bose-Einstein distribution of phonons, this work has reproduced the phenomenon of phonon focusing in single and polycrystalline materials. Simulation results provide...
متن کاملBallistic versus diffusive transport in graphene
Mario F. Borunda,1,2,* H. Hennig,2 and Eric J. Heller2,3 1Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 3Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA (Received 9 April 2013; revised manuscript received 9 August 2013; publish...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Physics
سال: 2015
ISSN: 0021-8979,1089-7550
DOI: 10.1063/1.4916245