Probability Seminar
Department of Mathematical Sciences |
|
Petr Plechac University of Delaware
Title: Accelerated kinetic Monte Carlo methods: hierarchical fractional-step parallel algorithms
After a brief introduction to kinetic Monte Carlo simulations we present
a mathematical framework for constructing
and analyzing parallel algorithms for lattice Kinetic Monte Carlo (KMC)
simulations.
The resulting algorithms have the capacity to simulate a wide range of
spatio-temporal scales in spatially distributed, non-equilibrium
processes with complex chemistry and transport micro-mechanisms. The
algorithms can be tailored to specific hierarchical parallel
architectures such as multi-core processors or clusters of Graphical
Processing Units (GPUs).
The proposed parallel algorithms are controlled-error approximations of
kinetic Monte Carlo algorithms, departing from the predominant paradigm of
creating parallel KMC algorithms with exactly the same master equation
as the serial one.