scholarly journals Analytical Green's function of the multidimensional frequency-dependent phonon Boltzmann equation

2014 ◽  
Vol 90 (21) ◽  
Author(s):  
Chengyun Hua ◽  
Austin J. Minnich
Keyword(s):  
Boltzmann Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Frequency Dependent ◽  
Phonon Boltzmann Equation

SOLUTION OF THE QUANTUM BOLTZMANN EQUATION IN LINEAR TRANSPORT

2002 ◽  
Vol 09 (05n06) ◽  
pp. 1761-1763
Author(s):  
B. A. PAEZ ◽  
A. MORENO ◽  
H. MÉNDEZ
Keyword(s):  
Boltzmann Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Transport Coefficients ◽  
Power Coefficient ◽  
Green’S Function Method ◽  
Nonequilibrium Distribution ◽  
Quantum Boltzmann Equation ◽  
Linear Transport

The one-dimensional quantum Boltzmann equation in linear transport approximation was solved using the nonequilibrium Green's function method, and based on the lifetime approximation. As an example, the effect of interactions with electric fields were included, and the thermoelectric power coefficient (α) was evaluated, based on calculations of the statistical density current in a stationary regime over the nonequilibrium distribution function, and by the Green's function method. Results are compared in order to explore the advantages of each one, in evaluating the other kinetic transport coefficients.

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