Boltzmann Equation in Amplifying Phonon System
نویسندگان
چکیده
منابع مشابه
Towards a Microscopic Derivation of the Phonon Boltzmann Equation
The thermal conductivity of insulating (dielectric) crystals is computed almost exclusively on the basis of the phonon Boltzmann equation. We refer to [1] for a discussion more complete than possible in this contribution. On the microscopic level the starting point is the Born-Oppenheimer approximation (see [2] for a modern version), which provides an effective Hamiltonian for the slow motion o...
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We study the asymptotics of solutions of the Boltzmann equation describing the kinetic limit of a lattice of classical interacting anharmonic oscillators. We prove that, if the initial condition is a small perturbation of an equilibrium state, and vanishes at infinity, the dynamics tends diffusively to equilibrium. The solution is the sum of a local equilibrium state, associated to conserved qu...
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A finite volume scheme is developed to solve the phonon Boltzmann transport equation in an energy form accounting for phonon dispersion and polarization. The physical space and the first Brillouin zone are discretized into finite volumes and the phonon BTE is integrated over them. Second-order accurate differencing schemes are used for the discretization. The scattering term employs a rigorous ...
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Boltzmann Transport Equation is solved numerically to model phonon transport in a subcontinuum domain in order to study heat transfer in thin film semiconductors. The phonon distribution function is modified to get an Energy equation from the Boltzmann Transport Equation. Gray form of the Energy equation is solved in the Relaxation time approximation to get the Phonon Energy Density distributio...
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The Wigner-Boltzmann equation (WB) provides a relevant description of carrier transport in spatial, energy and time scales typical for modern semiconducting nanostructures [1]. As implied by the name, the two limiting coherent or classical components of the WB equation lead to very different physical effects. The reversible coherent evolution is characterized by oscillations and negative values...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1973
ISSN: 0033-068X
DOI: 10.1143/ptp.49.361