95 citations · 441 across the 16 of their papers we have counts for
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Formal analogy between the Dirac equation in its Majorana form and the discrete-velocity version of the Boltzmann kinetic equation
F. Fillion-Gourdeau, H. J. Herrmann, M. Mendoza +2
We point out a formal analogy between the Dirac equation in Majorana form and the discrete-velocity version of the Boltzmann kinetic equation. By a systematic analysis based on the…
Relativistic effects on the Richtmyer-Meshkov instability
F. Mohseni, M. Mendoza, S. Succi +1
Theoretical and numerical analysis of the relativistic effects on the Richtmyer-Meshkov (RM) instability reveals new and potentially very useful effects. We find that, in contrast…
Kinetic Formulation of the Kohn-Sham Equations for ab initio Electronic Structure Calculations
M. Mendoza, S. Succi, H. J. Herrmann
We introduce a new approach to density functional theory based on kinetic theory, showing that the Kohn-Sham equations can be derived as a macroscopic limit of a suitable Boltzmann…
Gaussian Quadrature and Lattice Discretization of the Fermi-Dirac Distribution for Graphene
D. Oettinger, M. Mendoza, H. J. Herrmann
We construct a lattice kinetic scheme to study electronic flow in graphene. For this purpose, we first derive a basis of orthogonal polynomials, using as weight function the ultrar…
Lattice Boltzmann model for ultra-relativistic flows
F. Mohseni, M. Mendoza, S. Succi +1
We develop a relativistic lattice Boltzmann model capable of describing relativistic fluid dynamics at ultra-high velocities, with Lorentz factors up to . To this purpose…
Hydrodynamic Model for Conductivity in Graphene
M. Mendoza, H. J. Herrmann, S. Succi
Based on the recently developed picture of an electronic ideal relativistic fluid at the Dirac point, we present an analytical model for the conductivity in graphene that is able t…
Relativistic Lattice Boltzmann Model with Improved Dissipation
M. Mendoza, I. Karlin, S. Succi +1
We develop a relativistic lattice Boltzmann (LB) model, providing a more accurate description of dissipative phenomena in relativistic hydrodynamics than previously available with…