Efficient two-dimensional control of barrier crossing

DynamiGs of Two - Dimensional Diffusional Barrier Crossing

here; the transfer process can involve either partitioning or adsorption, the “solvent” being a surface in the latter case.) The principal solvation process in chromatographic separation is the creation of an acceptor cavity in (or on) the stationary‘phase and the destruction of the donor cavity in the mobile phase. Thus binding processes and chromatographic retention processes are quite differ...

Two Cross-correlated Dichotomic Noises: Barrier Crossing Problem∗

Escape of an overdamped particle driven by two correlated dichotomic noises (DN) from a triangle potential well is studied. A general description of statistical properties of the noises is developed in terms of master equation and correlation functions. Using the kinetics of these noises, an equation for the mean first-passage times can be deduced, which enables us to investigate the impact of ...

Tunneling in the condensed phase : barrier crossing and dynamical control

Barrier crossing of semiflexible polymers

– We consider the motion of semiflexible polymers in double-well potentials. We calculate shape, energy, and effective diffusion constant of kink excitations, and in particular their dependence on the bending rigidity of the semiflexible polymer. For symmetric potentials, the kink motion is purely diffusive, whereas kink motion becomes directed in the presence of a driving force on the polymer....

Efficient Two-dimensional Searching

Here we describe the construction of a spiraled PAT tree which allows picture (two-dimensional) searching, in O(logn) time, at a cost of O(n) storage (n being the number of pixels in the picture database), and independent on the size of the answer. Although designed originally for pixels, the algorithm also works for text, and gives an algorithm which does 2-dimensional searching in logarithmic...