Random FPUT Lattices
Date: Thursday 11 March 2021
Time: 10am
Speaker: Professor J. Douglas Wright (Drexel University)
Abstract:
We consider a linear Fermi-Pasta-Ulam-Tsingou lattice with random spatially varying material coefficients. Using the methods of stochastic homogenization we show that solutions with long wave initial data converge in an appropriate sense to solutions of a wave equation. The convergence is both strong and almost sure, but the rate of convergence is quite slow. The technique combines energy estimates with powerful classical results about random walks, specifically the law of the iterated logarithm. This work is joint with Drexel PhD student, Josh McGinnis.