Slow kinetics of Brownian maxima.

Expected Number of Local Maxima of Some Gaussian Random Polnomials

Are hydrodynamic interactions important in the kinetics of hydrophobic collapse?

We study the kinetics of assembly of two plates of varying hydrophobicity, including cases where drying occurs and water strongly solvates the plate surfaces. The potential of mean force and molecular-scale hydrodynamics are computed from molecular dynamics simulations in explicit solvent as a function of particle separation. In agreement with our recent work on nanospheres [J. Phys. Chem. B 20...

Nonlinear Analysis of Integrated Kinetics and Heat Transfer Models of Slow Pyrolysis of Biomass Particles using Differential Transformation Method

The inherent nonlinearities in the kinetics and heat transfer models of biomass pyrolysis have led to the applications of various numerical methods in solving the nonlinear problems. However, in order to have physical insights into the phenomena and to show the direct relationships between the parameters of the models, analytical solutions are required. In this work, approximate analytical solu...

The correlation of the maxima of correlated Brownian motions

We obtain an expression for the correlation of the maxima of two correlated Brownian motions.

On exact simulation algorithms for some distributions related to Brownian motion and Brownian meanders

We survey and develop exact random variate generators for several distributions related to Brownian motion, Brownian bridge, Brownian excursion, Brownian meander, and related restricted Brownian motion processes. Various parameters such as maxima and first passage times are dealt with at length. We are particularly interested in simulating process variables in expected time uniformly bounded ov...