this work is a primary achievement in studying the co2 and n2–oil systems. to predict gas-liquid relative permeability curves, a shan-chen type multicomponent multiphase lattice boltzmann model for two-phase flow through 2d porous media is developed. periodic and bounce back boundary conditions are applied to the model with the guo scheme for the external body force (i.e., the pressure gradient...

In this paper we provide a common framework for different stratified $LM$-convergence spaces introduced recently. To this end, we slightly alter the definition of a stratified $LMN$-convergence tower space. We briefly discuss the categorical properties and show that the category of these spaces is a Cartesian closed and extensional topological category. We also study the relationship of our cat...

We make corrections on the paper by Sugino [JHEP 0501 (2005) 016].

This talk reviews recent lattice results on the high T electroweak phase transition. A remarkably accurate picture emerges: a) the transition is of first order for mH < ∼ 80 GeV and vanishes for larger mH ; b) transition temperature, latent heat and interface tension are known, as well as c) the properties of the broken and symmetric phases. New developments in the sphaleron rate calculations a...

Introduction. One of the important unsolved problems of lattice theory is the problem of embedding every finite lattice in a finite partition lattice. The partition lattice can be considered as the lattice of subspaces of a suitable geometry. By slightly loosening the conditions on this geometry it will be shown that every finite lattice can be embedded in the lattice of subspaces of a finite g...

Two lattice points are visible to one another if there exist no other on the line segment connecting them. In this paper we study convex polygons that contain a point such all in polygon from it. We completely classify polygons, show finitely many of width greater than 2, and computationally enumerate As an application classification, prove new obstructions graphs arising as skeleta tropical pl...

We suggest and test potentials for the modeling of protein structure on coarse lattices. The coarser the lattice, the more complete and faster is the exploration of the conformational space of a molecule. However, there are inevitable energy errors in lattice modeling caused by distortions in distances between interacting residues; the coarser the lattice, the larger are the energy errors. It i...

Ultracold atoms in optical lattices are pristine model systems with a tunability and flexibility that goes beyond solid-state analogies, e.g., dynamical lattice-geometry changes allow tuning graphene lattice into boron-nitride lattice. However, fast modulation of the geometry remains intrinsically difficult. Here we introduce multi-frequency for flexible control demonstrate it three-beam lattic...