PHYSICAL MATHEMATICS SEMINAR

TITLE:    DIFFUSION-LIMITED AGGREGATION IN A CHANNEL


SPEAKER:	 LEONARD M. SANDER
		Michigan Center for Theoretical Physics, Department of Physics
                       	University of Michigan


ABSTRACT: 

We performed extensive numerical simulation of diffusion-limited aggregation in 
a  two-dimensional channel geometry.  Contrary to earlier claims, the measured 
fractal dimension and its leading correction to scaling are the same as in the radial case.

The method of conformal maps allows us to give new insight into the mean-field for DLA.  
The mean-field cluster in a channel, defined as the one generated by the ensemble averaged 
conformal map, is not identical to a Saffman-Taylor finger, as has been previously suggested.


TUESDAY, SEPTEMBER 30, 2003, 2:30 pm in Building 2, Room 338

Refreshments will be served at 3:30 PM in Room 2-349

Massachusetts Institute of Technology, Department of Mathematics, Cambridge, MA  02139