The HF-GKBA offers an approximate numerical procedure for propagating the two-time non-equilibrium Green's function(NEGF). Here we compare to exact results a variety of systems with long and short-range interactions, different two-body interaction strengths various preparations. We find excellent agreement between time evolution in models when more realistic long-range exponentially decaying in...

We present a new technique, based on a clever numerical minimization of certain Sobolev norms, for the numerical solution of partial differential equations. The new method is very high order even for complex geometries and variable coefficient problems. One surprising feature of the method is that we prefer to pose the problem in first-order form. The system does not have to be square as long a...

Graphene-based sensors are exceptionally sensitive with high carrier mobility and low intrinsic noise, have been intensively investigated in the past decade. The detection of individual gas molecules has reported, albeit underlying sensing mechanism is not yet well understood. We focus on adsorption ${\mathrm{NO}}_{2}$, ${\mathrm{H}}_{2}\mathrm{O}$, ${\mathrm{NH}}_{3}$ a molecular junction pyre...

Basic equations of nonequilibrium thermo field dynamics of dense quantum systems are presented. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev. Hydrodynamic equations have been obtained in thermo field representation. Two levels of the description of kinetics and hydrodynamics of a dense nuclear matter...

A thermal boundary condition for a double-population thermal lattice Boltzmann equation (TLBE) is introduced and numerically demonstrated. The unknown distribution population at the boundary node is decomposed into its equilibrium part and nonequilibrium parts, and then the nonequilibrium part is approximated with a first-order extrapolation of the nonequilibrium part of the populations at the ...

Basic equations of nonequilibrium thermo field dynamics of dense quantum systems are presented. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev. Hydrodynamic equations have been obtained in thermo field representation. Two levels of the description of kinetics and hydrodynamics of a dense nuclear matter...