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VERSION:2.0
CALSCALE:GREGORIAN
PRODID:iCalendar-Ruby
BEGIN:VEVENT
LAST-MODIFIED:20080428T161929
SEQUENCE:0
CONTACT:materials@mit.edu
ORGANIZER:Dept. of Materials Science and Engineering\, Center for Materials
  Science & Engineering\, Materials Processing Center
DTEND:20080509T130000
UID:2008-07-26T11:09:11-0400_330639040@socialweb1
DESCRIPTION:Cellular microstructures are ubiquitous in nature. They can be 
 found in polycrystalline microstructures\, foams\, plant epidermis\, ferroe
 lectrics\, complex fluids\, and even in ice cream. 
\n
\nIn many situations
 \, the cell/grain/bubble walls move to reduce their surface area (a surface
  tension effect)\, with a velocity proportional to the wall's mean curvatur
 e. As a result\, the cells evolve and coarsen. 
\n
\nUsing this relation\, 
 and little else\, von Neumann gave an exact formula for the growth rate of 
 a cell in a 2-d cellular structure\, which is the basis of modern grain gro
 wth theory. Borrowing ideas from geometric probability\, we present an exac
 t solution for the same problem in 3-d using the "mean width." We then desc
 ribe why the mean width is the natural linear measure of grain size and top
 ology and is useful across broad swaths of the sciences. Next\, we extend t
 his 50 year old theory into all d≥2. Finally\, we discuss using these ide
 as to more efficiently simulate grain growth.
SUMMARY:Grain Growth\, Shape and Topology in all Dimensions: Beyond von Neu
 mann-Mullins
DTSTART:20080509T120000
CREATED:20080428T161454
DTSTAMP:20080726T110911
LOCATION:MIT Building 66 Room 120
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