An EMD model for nanocolloidal dispersions considering the interaction between atoms within solid particles is developed for viscosity calculation and studying the effect of the particle size and volume fraction. Strong oscillations are observed in the pressure tensor autocorrelation function. Elimination of this oscillation is achieved by adjusting the potential among atoms of nanoparticles to...

Several finite elastic strain measures are evaluated for use in constitutive models of crystalline elasticity and elasto-plasticity. These include the Green material strain tensor, the Eulerian material strain tensor, and the logarithmic material strain tensor, all of which are referred to locally relaxed coordinates invariant under spatial rotations. New applications of logarithmic strain-base...

We compute all 2-covariant tensors naturally constructed from a semiriemannian metric g which are divergence-free and have weight greater than −2. As a consequence, it follows a characterization of the Einstein tensor as the only, up to a constant factor, 2-covariant tensor naturally constructed from a semiriemannian metric which is divergence-free and has weight 0 (i.e., is independent of the ...

We present numerical methods to solve the Israel– Stewart (IS) equations of causal relativistic dissipative fluid dynamics with bulk and shear viscosities. We then test these methods studying the Riemann problem in (1+ 1)and (2+ 1)-dimensional geometry. The numerical schemes investigated here are applicable to realistic (3 + 1)-dimensional modeling of a relativistic dissipative fluid. PACS 24.1...

We use the fluid-gravity correspondence to compute subextensive corrections, proportional to the shear tensor, to the energy-momentum tensor of fluids on threespheres. The dual configurations we consider are charged black hole solutions of N = 2 gauged supergravity theories in five dimensions.

We investigate nonlinear rheology of dilute liquid crystalline polymer solutions under time dependent two-directional shear flow. We analyze the Smoluchowski equation, which describes the dynamics of the orientation of a liquid crystalline polymer, by employing technique of the full counting statistics. In the adiabatic limit, we derive the expression for time integrated currents generated by a...

The relativistic second-rank tensor containing electric and magnetic polarization vectors of a medium is obtained based on the Maxwell equations determination charge density current structural microparticle. Using this electromagnetic field tensor, Lagrangian interaction with microparticle taking into account its elements. has been constructed considering polarizabilities.

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be considered. Backflow effects and the hydrodynamics of topological defects are naturally included in the simulations, as are non-Newtonian flow properties such as shear thinning an...