Time-dependent KPZ equation from non-equilibrium Ginzburg-Landau SDEs

Seminar | September 28 | 3:10 p.m. | 340 Evans Hall

Speaker/Performer:  Kevin Yang, U.C. Berkeley

Sponsor:  Department of Statistics

This talk has two goals. The first is the derivation of a time-dependent KPZ equation (TDKPZ) from a time-inhomogeneous Ginzburg-Landau model, which describes, among many other things, stochastic dynamics of ferromagnets whose physics have been known to be time-dependent (due to Eddy currents) since the 1800s. The TDKPZ has a nonlinear twist that is not seen in the usual KPZ equation, making it a more interesting SPDE.



The second goal is universality of the method for deriving (TD)KPZ, which should work beyond Ginzburg-Landau. In particular, we answer an open question of deriving (TD)KPZ from asymmetric particle systems under natural fluctuation-versions of the assumptions in Yau’s relative entropy method; the only additional assumption we need is a log-Sobolev inequality. Time permitting, future directions (of pure and applied flavors) will be discussed.

Event Contact:  CA, alanmhammond@yahoo.co.uk, 510-0000000

Access Coordinator:  Alan Hammond,  alanmhammond@yahoo.co.uk,  510-00000000