Now showing items 21-30 of 64
FAST TRACK COMMUNICATION: Percolation crossing formulae and conformal field theory
(IOP Publishing Ltd, 2007-08-03)
Using conformal field theory, we derive several new crossing formulae at the two-dimensional percolation point. High-precision simulation confirms these results. Integrating them gives a unified derivation of Cardy's formula ...
Kinetics of gelation and universality
(IOP Publishing Ltd, 1983-07-11)
The exact solution (size distribution ck(t) and moments Mn(t)) of Smoluchowski's coagulation equation (S-model) and of a modified equation (F-model) with a coagulation rate Kij=ij for i- and j-clusters is obtained for ...
Advances in on-chip photodetection for applications in miniaturized genetic analysis systems
(IOP Publishing Ltd, 2004-01-01)
Microfabrication techniques have become increasingly popular in the development of next generation DNA analysis devices. Improved on-chip fluorescence detection systems may have applications in developing portable hand-held ...
Exact Results for the Universal Area Distribution of Clusters in Percolation, Ising, and Potts Models
(Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media, 2003-01)
At the critical point in two dimensions, the number of percolation clusters of enclosed area greater than A is proportional to A −1 , with a proportionality constant C that is universal. We show theoretically (based upon ...
“Fracture” phenomena in shearing flow of viscous liquids
(Steinkopff-Verlag; Springer Science+Business Media, 1997-09)
In start-up of steady shearing flow of two viscous unentangled liquids, namely low-molecular-weight polystyrene and α-D-glucose, the shear stress catastrophically collapses if the shear rate is raised above a value ...
Hull-generating walks
(Elsevier, 1989-09)
A hull-generating walk (HGW) is a type of kinetic random walk that generates the hull or perimeter of a percolation cluster, and thus has a fractal dimension of 1.75. Some examples of HGWs for site and bond percolation on ...
New solutions to the fragmentation equation
(IOP Publishing Ltd, 1991-06-21)
A new general class of exact, explicit scaling solutions to the fragmentation equation is given. This class is described by a breakage rate a(x)=xlambda and the daughter distribution function yb(x mod y)=a gamma (xy)gamma ...
Laminar free-surface flow into a vertical cylinder
(Elsevier, 1975-03)
This study concerns the unsteady free-surface flow of a Newtonian fluid issuing vertically upwards from a tube in the base of a vertical cylindrical cavity. Experimental and numerical results are presented and discussed.The ...
Heat-transfer analysis of microfabricated thermocapillary pumping and reaction devices
(IOP Publishing Ltd, 2000-03-01)
A heat-transfer analysis was performed on thermocapillary pumping, a surface-tension-based drop pumping mechanism. The analysis, which incorporates both fluid flow and energy transport through multiple device layers, reveals ...