Comprehensive comparison of collision models in the lattice Boltzmann framework: Theoretical investigations

C Coreixas, B Chopard, J Latt - Physical Review E, 2019 - APS
Over the last decades, several types of collision models have been proposed to extend the
validity domain of the lattice Boltzmann method (LBM), each of them being introduced in its …

Effective density functionals beyond mean field

M Grasso - Progress in Particle and Nuclear Physics, 2019 - Elsevier
I present a review on non relativistic effective energy–density functionals (EDFs). An
introductory part is dedicated to traditional phenomenological functionals employed for …

Regularized lattice Bhatnagar-Gross-Krook model for two-and three-dimensional cavity flow simulations

A Montessori, G Falcucci, P Prestininzi, M La Rocca… - Physical Review E, 2014 - APS
We investigate the accuracy and performance of the regularized version of the single-
relaxation-time lattice Boltzmann equation for the case of two-and three-dimensional lid …

Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials

SK Adhikari, BA Malomed, L Salasnich, F Toigo - Physical Review A—Atomic …, 2010 - APS
We study the spontaneous symmetry breaking (SSB) of a superfluid Bose-Fermi (BF) mixture
in a double-well potential (DWP). The mixture is described by the Gross-Pitaevskii equation …

Dark–bright solitons in a superfluid Bose–Fermi mixture

M Tylutki, A Recati, F Dalfovo… - New Journal of …, 2016 - iopscience.iop.org
The recent experimental realisation of Bose–Fermi superfluid mixtures of dilute ultracold
atomic gases has opened new perspectives in the study of quantum many-body systems …

Thermal fluctuations in the lattice Boltzmann method for nonideal fluids

M Gross, R Adhikari, ME Cates, F Varnik - Physical Review E—Statistical …, 2010 - APS
We introduce thermal fluctuations in the lattice Boltzmann method for nonideal fluids. A
fluctuation-dissipation theorem is derived within the Langevin framework and applied to a …

Self-trapping of a Fermi superfluid in a double-well potential in the Bose-Einstein-condensate–unitarity crossover

SK Adhikari, H Lu, H Pu - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
We derive a generalized Gross-Pitaevskii density-functional equation appropriate to study
the Bose-Einstein condensate (BEC) of dimers formed of singlet spin-half Fermi pairs in the …

Hydrodynamics of a Multi-Component Bosonic Superfluid

F Zhang, L Yin - Chinese Physics Letters, 2023 - iopscience.iop.org
We obtain the superfluid hydrodynamic equations of a multi-component Bose gas with short-
ranged interactions at zero temperature under the local equilibrium assumption and show …

Self-trapped quantum balls in binary Bose–Einstein condensates

S Gautam, SK Adhikari - Journal of Physics B: Atomic, Molecular …, 2019 - iopscience.iop.org
We study the formation of a stable self-trapped spherical quantum ball in a binary Bose–
Einstein condensate (BEC) with two-body inter-species attraction and intra-species …

Effective nonlinear Schrödinger equations for cigar-shaped and disc-shaped Fermi superfluids at unitarity

SK Adhikari, L Salasnich - New Journal of Physics, 2009 - iopscience.iop.org
In the case of tight transverse confinement (cigar-shaped trap), the three-dimensional (3D)
nonlinear Schrödinger equation, describing superfluid Fermi atoms at unitarity (infinite …