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SUMMARY:The Mathematics of Electromigration Dispersion: Nonlinear Waves\, 
 Burger's Equation and Electrokinetic Shocks - Prof. Sandip Ghosal\, Leverh
 ulme Visiting Professor\, Northwestern University
DTSTART:20130715T123000Z
DTEND:20130715T133000Z
UID:TALK46251@talks.cam.ac.uk
CONTACT:Dr. Ulrich Keyser
DESCRIPTION:Electrophoretic separation of a mixture of chemical species is
  a fundamental technique of great usefulness in\nanalytical chemistry and 
 the life sciences. In capillary zone electrophoresis (CZE)\, the sample\nc
 oncentration peak migrates in a microcapillary in the presence of a backgr
 ound electrolyte. When concentration of the\nsample ions is sufficiently h
 igh\, the signal is known to exhibit features reminiscent of nonlinear wav
 es including\nskewed non-Gaussian profiles and sharp concentration jumps o
 r "shocks". It is shown that\nunder certain conditions the sample concentr
 ation obeys a one dimensional nonlinear advection\ndiffusion equation redu
 cible to Burger's equation in the weakly nonlinear limit. This fact can be
  exploited\nto obtain exact formulas for useful quantities such as the mig
 ration speed\, width and shape of sample peaks\, thereby\nproviding a fram
 ework for understanding experimental observations. In the presence of a ze
 ta potential at the\ncapillary wall\, induced pressure gradients cause Tay
 lor dispersion of the sample ions\, resulting in the molecular\ndiffusivit
 y being replaced with a concentration dependent effective diffusivity. 
LOCATION:VENUE CHANGE: Small Lecture Theatre\, Cavendish Laboratory\, J J 
 Thomson Avenue\, West Cambridge site
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