Department of Mathematical Sciences, Rensselaer Polytechnic Institute
Tuesday, January 15, 2019, 3:00-4:00 PM
Building 101, Portrait Room
Tuesday, January 15, 2019, 1:00-2:00 PM
Building 1, Room 4072
Hosts: Ryan Evans and Tony Kearsley
Abstract: We construct a family of stochastic particle systems which models the coarsening of two-dimensional networks through mean curvature flow. The limiting kinetic equations of these models, describing distributions of grain areas and topologies, are shown to be well-posed. Evidence for the exponential convergence of the empirical densities of the particle system to solutions of the kinetic equations is provided through several minimal models. The framework for the particle system is general enough to allow for various assumptions proposed in the 1980’s and 1990’s concerning facet exchange and first order neighbor correlations. Particle system models for several different assumptions are compared against direct simulations.
Bio: Joseph Klobusicky is a postdoctoral researcher in the Department of Mathematical Sciences at Rensselaer Polytechnic Institute. After obtaining his PhD in applied mathematics at Brown University in 2014, he spent two years as a statistician/data scientist at Geisinger Medical Center, a hospital serving central Pennsylvania. Along with problems in mathematical material science, Dr. Klobusicky is currently interested in modeling intracellular transport with stochastic modeling.
Note: Visitors from outside NIST must contact Cathy Graham; (301) 975-3800; at least 24 hours in advance.