Boltzmann Transport: Beyond the Drift–Diffusion Model

  • Supriyo Bandyopadhyay


This chapter discusses a more sophisticated charge transport model based on the BTE. It derives this equation from conservation principles, and then uses it to deduce the generalized moment equation (or the hydrodynamic balance equation) which governs charge transport in the presence of both local and nonlocal effects. The steady-state drift–diffusion equations of Chap. 1 are shown to be special cases of the last equation. Two methods of solving the BTE—the relaxation time approximation and the Monte Carlo (MC) simulation method—are discussed and some analytical results are obtained from the relaxation time approximation. This chapter also discusses linear response transport or ohmic conduction and finds an expression for the linear response conductivity. It then distinguishes chemical potential from electrostatic potential inside a device and discusses a few important thermodynamic concepts pertinent to charge transport. Overall, the purpose of this chapter is to provide a sound basis for understanding both linear and nonlinear (or hot-carrier) transport in solids.


Monte Carlo Monte Carlo Simulation Transport Parameter Nonlocal Effect Global Equilibrium 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Supriyo Bandyopadhyay
    • 1
  1. 1.Department of Electrical and Computer EngineeringVirginia Commonwealth UniversityRichmondUSA

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