Excited states in the full QCD hadron spectrum on a 163×4016^3 \times 40 lattice

We report the hadron mass spectrum obtained on a $16^3 \times 40$ lattice at $\beta = 5.7$ using two flavors of staggered fermions with $m a = 0.01$. We calculate the masses of excited states that have the same quantum numbers as the $\pi$, $\rho$ and $N$. They are obtained by a combined analysis of the hadron correlators from sources of size $16^3$ and $8^3$. We also report on the hadron spectrum for a wide range of valence quark masses.Comment: Contribution to Lattice 95. 4 pages. Compressed, uuencoded postscript file. Send questions to [email protected]

Faster Deterministic Algorithms for Packing, Matching and tt-Dominating Set Problems

In this paper, we devise three deterministic algorithms for solving the $m$-set $k$-packing, $m$-dimensional $k$-matching, and $t$-dominating set problems in time $O^*(5.44^{mk})$, $O^*(5.44^{(m-1)k})$ and $O^*(5.44^{t})$, respectively. Although recently there has been remarkable progress on randomized solutions to those problems, our bounds make good improvements on the best known bounds for deterministic solutions to those problems.Comment: ISAAC13 Submission. arXiv admin note: substantial text overlap with arXiv:1303.047

Cyclic J integral using linear matching method

The extended version of the latest Linear Matching Method (LMM) has the capability to evaluate the stable cyclic response, which produces cyclic stresses, residual stresses and plastic strain ranges for the low cycle fatigue assessment with cyclic load history. The objective of this study is to calculate ΔJ through the LMM and suggest future development directions. The derivation of the ΔJ based on the potential energy expression for a single edge cracked plate subjected to cyclic uniaxial loading condition using LMM is presented. To extend the analysis so that it can be incorporated to other plasticity models, material Ramberg-Osgood hardening constants are also adopted. The results of the proposed model have been compared to the ones obtained from Reference Stress Method (RSM) for a single edge cracked plate and they indicate that the estimates provide a relatively easy method for estimating ΔJ for describing the crack growth rate behaviour by considering the complete accumulated cycle effects

Fundamental Conditions for N-th Order Accurate Lattice Boltzmann Models

In this paper, we theoretically prove a set of fundamental conditions pertaining discrete velocity sets and corresponding weights. These conditions provide sufficient conditions for a priori formulation of lattice Boltzmann models that automatically admit correct hydrodynamic moments up to any given N-th order

Hadron masses on a 16^3 x 40 lattice at \beta = 5.7

We report on the hadron mass spectrum obtained on a 16^3 x 40 lattice in full QCD at \beta = 5.7 using two flavors of staggered fermions with m a = 0.01. We study the effective mass plateaus for different sized sources. Our mass results are slightly lighter than our earlier 16^3 x 32 calculation. The Landau gauge \Delta is quite different from the Coulomb gauge \Delta.Comment: Contribution to Lattice 94. 3 pages. Latex source followed by compressed, uuenocded postscript file of the complete paper. Individual figures available from [email protected]

Some sufficient conditions for infinite collisions of simple random walks on a wedge comb

In this paper, we give some sufficient conditions for the infinite collisions of independent simple random walks on a wedge comb with profile \{f(n), n\in \ZZ\}. One interesting result is that if $f(n)$ has a growth order as $n\log n$, then two independent simple random walks on the wedge comb will collide infinitely many times. Another is that if \{f(n); n\in \ZZ\} are given by i.i.d. non-negative random variables with finite mean, then for almost all wedge comb with such profile, three independent simple random walks on it will collide infinitely many times