We analytically investigate hydrodynamic attractor solutions in both M\"{u}ller-Israel-Stewart (MIS) and kinetic theories a viscous fluid system undergoing Hubble expansion with fixed rate. show that the gradient for MIS theory Chapman-Enskog Boltzmann equation within relaxation time approximation are factorially divergent obtain by applying Borel resummation technique to those asymptotic serie...

Granular assemblies –made up of macroscopic solid bodies undergoing dissipative interactions– have been shown [1, 2] to frequently exhibit flows similar to those of normal fluids, and for practical purposes are often described by phenomenological hydrodynamic equations, i.e. equations for the density, flow velocity and energy density. This is so even if energy is not a conserved variable (the c...

We present a theory that describes the non-local heat transport and associated thermal smoothing modeling the non-uniform laser illumination by solving the steady state Fokker-Planck (FP) equation. A method that connects higher order Chapman-Enskog expansion for low energy electrons and convolution formula for high energy ones through the self-consistent determination of the electric field is d...

In this paper, a diffuse-interface lattice Boltzmann method (DI-LBM) is developed for fluid–particle interaction problems. method, the sharp interface between fluid and solid replaced by thin but nonzero thickness transition region named diffuse interface, where physical variables change continuously. order to describe we introduce smooth function, which similar parameter in phase-field model o...

This paper presents an analysis of the simultaneous incorporation of force and mass source terms into the multi-relaxation-time (MRT) collision operator. MRT force incorporation was obtained through Chapman-Enskog analysis. The numerical scheme was tested on different benchmark problems, including the decay of a shear wave with different bulk and kinematic viscosities and axisymmetric flow.

In this paper, the size dependent behavior of the gold micro-switches has been studied. This behavior becomes noticeable for a structure when the characteristic size such as thickness or diameter is close to its internal length-scale parameter. The size dependent effect is insignificant for the high ratio of the characteristic size to the length-scale parameter, which is the case of the silicon...

A long-standing problem in the kinetic theory of fluids at moderate and high densities is how to treat the effect of a range of molecular interaction that extends beyond the nearly impenetrable repulsive core that can reasonably be modeled as a hard-sphere core. The most obvious complications in this connection are as follows. First, for high densities, particles are most of the time interactin...