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SUMMARY:Construction of two dimensional convex shapes from their excluded 
 volumes - Jamie Taylor (BCAM - Basque Center for Applied Mathematics)
DTSTART:20190114T151500Z
DTEND:20190114T160000Z
UID:TALK116872@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In a dilute system of spatially homogeneous system of hard\, n
 on-spherical\, particles\, Onsager tells us that all phase behaviour can (
 in principle) be derived by explained by understanding how much volume is 
 excluded to one particle by the presence of another\, given their relative
  orientations. In this talk\, we will consider the case of two dimensional
  convex bodies\, and describe forward and inverse problems related to eval
 uating their so-called excluded volume function\, which depends entirely o
 n the particle shape. In particular\, we propose and analyse an algorithm 
 which can reconstruct a convex body from an excluded volume function\, alt
 hough such solutions can be shown generally to be non-unique. While only p
 roviding results in the simpler two-dimensional setting\, these results pa
 ve the way for design of particle shape based on desired phase behaviour p
 roperties.
LOCATION:Seminar Room 1\, Newton Institute
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