Lattice strain is generated in crystal structures as a result of atomic size differences between host atom and solute elements during substitutional alloying. Extensive work has been performed to study lattice parameter variation with alloying elements, primarily using diffraction methods. The global information provided by reciprocal space analysis, however, limits access to local structural d...

As more spatial fields are being collected and analyzed in a wide variety of environmental problems, there is considerable effort in developing methodology for multivariate spatial models. One such model is the canonical multivariate conditional autoregressive (CAMCOR) model, which is a multivariate Markov random field model ideal for analyzing data on spatial grids or lattices. In this paper, ...

The dynamics of a globally coupled, logistic map lattice is explored over a parameter plane consisting of the coupling strength, varepsilon, and the map parameter, a. By considering simple periodic orbits of relatively small lattices, and then an extensive set of initial-value calculations, the phenomenology of solutions over the parameter plane is broadly classified. The lattice possesses many...

We present results of a large-scale simulation for the Kaon B parameter BK in quenched lattice QCD with the Kogut-Susskind quark action. Calculating BK at 1% statistical accuracy for seven values of lattice spacing in the range a ≈ 0.24 − 0.04 fm on lattices up to 563 × 96, we verify a quadratic a dependence of BK theoretically predicted. Strong indications are found that, with our level of acc...

We present a first-principle computation of the jet quenching parameter, which describes the momentum broadening of a high-energy parton moving through the deconfined state of QCD matter at high temperature. Following an idea originally proposed by Caron-Huot, we explain how one can evaluate the soft contribution to the collision kernel characterizing this real-time phenomenon, analyzing certai...

The Lattice Boltzmann Equation is briefly introduced using moments to clearly separate the propagation and collision steps in the dynamics. In order to identify unknown parameters we introduce a cost function and adapt control theory to the Lattice Boltzmann Equation to get expressions for the derivatives of the cost function vs. parameters. This leads to an equivalent of the adjoint method wit...