The exact solution of the asymmetric exclusion problem with N distinct classes of particles (c = 1, 2, . . . , N), with hierarchical order is presented. In this model the particles (size 1) are located at lattice points, and diffuse with equal asymmetric rates, but particles in a class c do not distinguish those in the classes c′ > c from holes (empty sites). We generalize and solve exactly thi...

We present a high statistics study of the Dand B-meson decay constants. The results were obtained by using the Clover and Wilson lattice actions at two different values of the lattice spacing a, corresponding to β = 6.0 and 6.2. After a careful analysis of the systematic errors present in the extraction of the physical results, by assuming quite conservative discretization errors, we find fDs =...

We consider a class of spin-type discrete systems and analyze their continuum limit as the lattice spacing goes to zero. Under standard coerciveness and growth assumptions together with an additional head-to-tail symmetry condition, we observe that this limit can be conveniently written as a functional in the space of Q -tensors. We further characterize the limit energy density in several cases...

the electronic structure, energy band structure and electronic density of 2 sno ceramic in cubicphase have been investigated using first principle full potential-linearized augmented plane wave (fp-lapw)method within density functional theory (dft). local density approximation (lda) and the generalizedgradient approximation (gga), which are based on exchange- correlation energy optimization wer...

Scalar and tensor glueball spectrum is studied using an improved gluonic action on asymmetric lattices in the pure SU(3) gauge theory. The smallest spatial lattice spacing is about 0.08fm which makes the extrapolation to the continuum limit more reliable. In particular, attention is paid to the scalar glueball mass which is known to have problems in the extrapolation. Converting our lattice res...

In this paper, we are interested in the evaluation of the zeta function of the simplest cubic field. We first introduce Siegel’s formula for values of the zeta function of a totally real number field at negative odd integers. Next, we will develop a method of computing the sum of a divisor function for ideals, and will give a full description for a Siegel lattice of the simplest cubic field. Us...

We consider random lattice triangulations of n×k rectangular regions with weight λ|σ| where λ > 0 is a parameter and |σ| denotes the total edge length of the triangulation. When λ ∈ (0, 1) and k is fixed, we prove a tight upper bound of order n for the mixing time of the edge-flip Glauber dynamics. Combined with the previously known lower bound of order exp(Ω(n)) for λ > 1 [3], this establishes...

We consider the simultaneous diffusion and homogenization limit of the linear Boltzmann equation in a periodic medium in the regime where the mean free path is much smaller than the lattice constant. The resulting equation is a diffusion equation, with an averaged diffusion matrix that is formally obtained by first performing the diffusion limit and then the homogenization one. The rigorous pro...

We consider the relationship between the Haagerup constants for a C-algebra and its crossed product by an amenable group. We prove equality when the group is discrete, and deduce equality when the group is compact and abelian.