Introducing a lattice Boltzman time-domain method: A thermodynamics-based approach for simulating quantum effects.

Abstract

In this work, using the generalized Boltzmann equationof Zadehgol [Phys. Rev. E 94, 023316 (2016)2470-004510.1103/PhysRevE.94.023316] a lattice Boltzmann time-domain (LBTD) method is proposed. The time-domain methods, such as the finite-difference time-domain method (FDTD), have been proposed by researchers, as tools in the study and design of semiconductor and optoelectronic devices. The LBTD inherits the main advantages of the lattice Boltzmann methods over the conventional methods, i.e., simplicity of the implementation, easy handling of complex geometries, and explicit algorithms which make the method highly suitable for efficient parallel processing. The theoretical findings have been verified by performing LBTD analysis on some benchmark structures.