A new computer simulation method based on stochastic integration of the Langevin equations of dislocation motion is proposed for the investigation of the dynamic properties of a system of parallel straight dislocations. The stochastic approach developed for weakly correlated dislocation systems allows for more than 106 dislocations in the simulation area. Relaxation of a system of 220 parallel ...

We describe an exact decoding algorithm for syntax-based statistical translation. The approach uses Lagrangian relaxation to decompose the decoding problem into tractable subproblems, thereby avoiding exhaustive dynamic programming. The method recovers exact solutions, with certificates of optimality, on over 97% of test examples; it has comparable speed to state-of-the-art decoders.

From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent z is estimated to be 2.165 ± 0.010 for this model. The relaxation in the ordered phase of this model is consistent with exp(− √ t/τ ) behavior. The interface energy of the threedimensional Ising model is studied and the critical exponent of the correlation length ν and the crit...

The structure of boron nitride nanotubes is investigated using a generalized tight-binding molecular dynamics method. It is shown that dynamic relaxation results in a wave-like or ‘rippled’ surface in which the B atoms rotate inward and the N atoms move outward, reminiscent of the surface relaxation of the III–V semiconductors. More importantly, the three different morphologies of the tube clos...

Peridynamics (PD) is a new tool, based on the non-local theory for modelling fracture mechanics, where particles connected through physical interaction used to represent domain. By using PD theory, damage or crack in material domain can be shown much practical representation. This study compares between Prototype Microelastic Brittle (PMB) model and Quasi-Brittle (QBR) framework of Bond-based (...

We investigate the problem of scheduling n jobs in s-stage hybrid flowshops with parallel identical machines at each stage. The objective is to find a schedule that minimizes the sum of weighted completion times of the jobs. This problem has been proven to be NP-hard. In this paper, an integer programming formulation is constructed for the problem. A new Lagrangian relaxation algorithm is prese...

Background Evaluation of a dynamic T2-preparation (dynT2prep) sequence, whereby the first dynamic is acquired with and the second without T2 preparation. T2 preparation allows suppression of tissues with short T2 relaxation times, e.g. deoxygenated blood. Tissues with long T2 relaxation times, e.g. oxygenated arterial blood, are minimally influenced. Thus both blood of the pulmonary veins and l...