Technion, IEM faculty - Seminar in Probability and Stochastic Processes
 
Speaker: Sjoert Fleurke,  Dutch Radio Communications Agency
 
Title: On the layer density in particle deposition models
 
Date: 03/01/2012
 
Time: 11:30
 
Place: Hashmal-861
 
Abstract:  <http://ie.technion.ac.il/seminar_files/1324457936_F.txt>
 
Or read it here:
 
Particle deposition is a stochastic process in
which "particles" are dropped vertically onto a
"substrate". Eventually each particle will be
blocked in its downward movement by the substrate
or by one or more particles that arrived earlier.
At that position the blocked particle is deposited
and it remains there during the entire process.
 
During the process particles pile up and
eventually every layer will be filled until no new
particles can be added. Particles have a certain
"exclusion area" to their left and right in which
other particles are not allowed. Due to the random
order of arrivals a layer will not be filled
efficiently and small holes will remain here and
there. So, the density of the layers will not
reach the maximal possible value.
 
Interestingly, simulations and calculations show
that on average the end-densities are not the same
on each layer. In some models the particles seem
to "organize" themselves in such a way that higher
layers tend to reach higher end-densities than low
layers while in some other models the opposite is
true.
 
This is peculiar because the particles arrive
randomly (according to a Poisson-process) and can
not move once they are deposited. In my talk, this
self-organizing phenomenon will be analyzed and
explained in the case of two particle deposition
models.
 
---------------------------------------------------------
Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <rami@.technion.ac.il>