95 citations · 441 across the 16 of their papers we have counts for
16 papers
Conformal Invariance of Graphene Sheets
I. Giordanelli, N. Posé, M. Mendoza +1
Suspended graphene sheets exhibit correlated random deformations that can be studied under the framework of rough surfaces with a Hurst (roughness) exponent . Here,…
Poiseuille flow in curved spaces
J. -D. Debus, M. Mendoza, S. Succi +1
We investigate Poiseuille channel flow through intrinsically curved media, equipped with localized metric perturbations. To this end, we study the flux of a fluid driven through th…
Coupled DEM-LBM method for the free-surface simulation of heterogeneous suspensions
A. Leonardi, F. K. Wittel, M. Mendoza +1
The complexity of the interactions between the constituent granular and liquid phases of a suspension requires an adequate treatment of the constituents themselves. A promising way…
Cooling Effect of the Richtmyer-Meshkov Instability
F. Mohseni, M. Mendoza, S. Succi +1
We provide numerical evidence that the Richtmyer-Meshkov (RM) instability contributes to the cooling of a relativistic fluid. Due to the presence of jet particles traveling through…
Lattice Boltzmann Model for Numerical Relativity
E. Ilseven, M. Mendoza
In the Bona-Masso formulation, Einstein equations are written as a set of flux conservative first order hyperbolic equations that resemble fluid dynamics equations. Based on this f…
High-Order Kinetic Relaxation Schemes as High-Accuracy Poisson Solvers
M. Mendoza, S. Succi, H. J. Herrmann
We present a new approach to find accurate solutions to the Poisson equation, as obtained from the steady-state limit of a diffusion equation with strong source terms. For this pur…
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…
Taylor-Couette Instability in General Manifolds: A Lattice Kinetic Approach
M. Mendoza, S. Succi, H. J. Herrmann
We present a new lattice kinetic method to simulate fluid dynamics in curvilinear geometries. A suitable discrete Boltzmann equation is solved in contravariant coordinates, and the…
A fully relativistic lattice Boltzmann algorithm
P. Romatschke, M. Mendoza, S. Succi
Starting from the Maxwell-Juettner equilibrium distribution, we develop a relativistic lattice Boltzmann (LB) algorithm capable of handling ultrarelativistic systems with flat, but…
Simulation of Flow of Mixtures Through Anisotropic Porous Media using a Lattice Boltzmann Model
M. Mendoza, F. K. Wittel, H. J. Herrmann
We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our…