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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Construction of two dimensional convex shapes from their excluded volumes

## Construction of two dimensional convex shapes from their excluded volumesAdd to your list(s) Download to your calendar using vCal - Jamie Taylor (BCAM - Basque Center for Applied Mathematics)
- Monday 14 January 2019, 15:15-16:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. DNMW01 - Optimal design of complex materials In a dilute system of spatially homogeneous system of hard, non-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 evaluating their so-called excluded volume function, which depends entirely on the particle shape. In particular, we propose and analyse an algorithm which can reconstruct a convex body from an excluded volume function, although such solutions can be shown generally to be non-unique. While only providing results in the simpler two-dimensional setting, these results pave the way for design of particle shape based on desired phase behaviour properties. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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