Simulation via direct computation of partition functions

Bayesian Segmentation via Asymptotic Partition Functions

Asymptotic approximations to the partition function of Gaussian random fields are derived. Textures are characterized via Gaussian random fields induced by stochastic difference equations determined by finitely supported, stationary, linear difference operators, adjusted to be non-stationary at the boundaries. It is shown that as the scale of the underlying shape increases, the log-normalizer c...

The Accurate Computation of Partition Functions in Non-rigid Molecules

A software tool for the computation of equilibrium properties in flexible, non-rigid, molecular systems is developed. The program can use semi-rigid and anharmonic models to obtain the rotational and vibrational contributions to the partition function. In addition, a semi-empirical procedure is developed to refine the partition function using experimental information. The program is employed to...

Accurate Simulation of Parametrically Excited Micromirrors via Direct Computation of the Electrostatic Stiffness

Electrostatically actuated torsional micromirrors are key elements in Micro-Opto-Electro- Mechanical-Systems. When forced by means of in-plane comb-fingers, the dynamics of the main torsional response is known to be strongly non-linear and governed by parametric resonance. Here, in order to also trace unstable branches of the mirror response, we implement a simplified continuation method with a...

Tight bounds on the coefficients of partition functions via stability

Analysis of Chlorine Gas Incident Simulation and Dispersion Within a Complex and Populated Urban Area Via Computation Fluid Dynamics

In some instances, it is inevitable that large amounts of potentially hazardous chemicals like chlorine gas are stored and used in facilities in densely populated areas. In such cases, all safety issues must be carefully considered. To reach this goal, it is important to have accurate information concerning chlorine gas behaviors and how it is dispersed in dense urban areas. Furthermore, mainta...