45 citations
5 papers
Isotropy and Galilean invariance of Lattice Boltzmann Method: Theoretical and numerical analysis using oblique dipole benchmark *
François Dubois, Souleymane Kadri Harouna, Pierre Lallemand +1
This work focuses on the two-dimensional, nine-velocity (D2Q9) lattice Boltzmann model. First, we show that the D2Q9 scheme cannot achieve secondorder accuracy unless the cubic vel…
A lattice Boltzmann scheme with equilateral triangles for diffusion and acoustics
Francois Dubois, Pierre Lallemand
This contribution studies the Boltzmann scheme on a ``D2T4''grid constructed on meshes using equilateral triangles. The center of each triangle is connected to itself and to three…
A generalized framework for the critical current for a one-dimensional crossed-field gap in an orthogonal coordinate system
Jack K. Wright, N. R. Sree Harsha, Allen L. Garner
Recent studies have applied variational calculus, conformal mapping, and point transformations to extend the one-dimensional SCLC from planar gaps to more complicated geometries. H…
Universal topological quantum computing via double-braiding in SU(2) Witten-Chern-Simons theory
Adrian L. Kaufmann, Shawn X. Cui
We study the problem of universality in the anyon model described by the Witten-Chern-Simons theory at level . A classic theorem of Freedman-Larsen-Wang states that for…
Full control of quadruple quantum dot circuit charge states in the single electron regime
M. R. Delbecq, T. Nakajima, T. Otsuka +4
We report the realization of an array of four tunnel coupled quantum dots in the single electron regime, which is the first required step toward a scalable solid state spin qubit a…