Fluid dynamics video of domains with spiral dislocations formed in the wake of an enslaved phase-separation front

Enslaved phase-separation fronts that move with a speed just smaller than that of a free front will leave in their wake a morphology of alternating domains that are roughly aligned with the front. However, these alternating domains will typically not be in phase initially. Instead there are defects. Here we present novel phase-separation morphologies that are formed in such systems where the defects are reminiscent of spiral dislocations in crystal growth.Comment: 1 pag

Scalar Casimir Energies for Separable Coordinate Systems: Application to Semi-transparent Planes in an Annulus

We derive a simplified general expression for the two-body scalar Casimir energy in generalized separable coordinate systems. We apply this technique to the case of radial semi-transparent planes in the annular region between two concentric Dirichlet cylinders. This situation is explored both analytically and numerically.Comment: 8 pages, 5 figures. Contribution to Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions, QFEXT0

Biology helps to construct weighted scale free networks

In this work we study a simple evolutionary model of bipartite networks which its evolution is based on the duplication of nodes. Using analytical results along with numerical simulation of the model, we show that the above evolutionary model results in weighted scale free networks. Indeed we find that in the one mode picture we have weighted networks with scale free distributions for interesting quantities like the weights, the degrees and the weighted degrees of the nodes and the weights of the edges.Comment: 15 pages, 7 figures, Revte

A Symmetric Free Energy Based Multi-Component Lattice Boltzmann Method

We present a lattice Boltzmann algorithm based on an underlying free energy that allows the simulation of the dynamics of a multicomponent system with an arbitrary number of components. The thermodynamic properties, such as the chemical potential of each component and the pressure of the overall system, are incorporated in the model. We derived a symmetrical convection diffusion equation for each component as well as the Navier Stokes equation and continuity equation for the overall system. The algorithm was verified through simulations of binary and ternary systems. The equilibrium concentrations of components of binary and ternary systems simulated with our algorithm agree well with theoretical expectations.Comment: 7 pager, 4 figure