-We have investigated the effects of occupancy and blocked sites on the diffusivity of penetrants in a three-dimensional lattice model of ZSM-5. Using our model, which is a realistic. coarse-grained description of the zeolite, we find that diffusivity decreases more strongly with occupancy and fraction of blocked sites than on a two-dimensional square or three-dimensional cubic lattice. The per...

We present expressions for the Green's tensors in terms of lattice sums for general two-dimensional arrays in both elastostatics and elastodynamics. We represent the lattice sums in rapidly{convergent forms by Fourier transform methods. We compare the static lattice sums with recently published, highly accurate values for square arrays. We also establish Rayleigh identities for elastostatic and...

We prove universal reconfiguration (i.e., reconfiguration between any two robotic systems with the same number of modules) of 2-dimensional lattice-based modular robots by means of a distributed algorithm. To the best of our knowledge, this is the first known reconfiguration algorithm that applies in a general setting to a wide variety of particular modular robotic systems, and holds for both s...

in this paper, using annular resonator we have designed an adding and dropping filter light based ontwo-dimensional photonic crystals. the shape of ring resonator filter adding and dropping that wehave proposed is race track. this filter has a hexagonal lattice structure of silicon bars withrefractive index 3/46 that is located in the context of air with refractive index 1. transmissionefficien...

Absolute photonic band gaps in two-dimensional square and honeycomb lattices of circular crosssection rods can be increased by reducing the structure symmetry. The addition of a smaller diameter rod into the center of each lattice unit cell lifts band degeneracies to create significantly larger band gaps. Symmetry breaking is most effective at filling fractions near those which produce absolute...

A relation between the average length of loops and their free energy is obtained for a variety of O(n)-type models on two-dimensional lattices, by extending to finite temperatures a calculation due to Kast. We show that the (number) averaged loop length L stays finite for all non-zero fugacities n, and in particular it does not diverge upon entering the critical regime (n → 2+). Fully packed lo...

In the polymeric title complex, {[Cu(C8H5NO4S)(H2O)]·3H2O} n , the Cu(II) cation is coordinated by one water mol-ecule and four carboxyl-ate O atoms from four 2-[(carb-oxy-meth-yl)sulfan-yl]nicotinate anions in a distorted square-pyramidal geometry. The 2-[(carb-oxy-meth-yl)sulfan-yl]nicotinate anion bridges four Cu(II) cations, forming a two-dimensional polymeric complex parallel to the bc pla...

We give a rational form of a generic two-dimensional “quad” map, containing the so-called Q4 case [1, 2, 3, 4, 5, 6], but whose coefficients are free. Its integrability is proved using the calculation of algebraic entropy. We first explain the setting, i.e. what are two dimensional lattice maps on a square lattice (quad maps), and describe two characteristics of integrability of such systems, r...

We give a rational form of a generic two-dimensional “quad” map, containing the so-called Q4 case [1, 2, 3, 4, 5, 6], but whose coefficients are free. Its integrability is proved using the calculation of algebraic entropy. We first explain the setting, i.e. what are two dimensional lattice maps on a square lattice (quad maps), and describe two characteristics of integrability of such systems, r...