Non-linear diffusion from Effective Field Theory

by Dr Xinyi Chen-Lin (NORDITA)

Monday 13 Dec 2021, 15:45 → 17:45 Europe/Stockholm

zoom link :  https://stockholmuniversity.zoom.us/j/622224375

 

In this talk, I will show how non-linear corrections to the diffusion equation can be systematically derived using an effective field theory (EFT) of hydrodynamics [arxiv: 1511.03646]. The latter is based on the Keldysh-Schwinger path integral formalism. I will also review the stochastic diffusion approach, talk about its limitations and how it compares with the EFT approach. Finally I will discuss the relevance of diffusive fluctuations for strongly correlated transport in condensed matter and cold atomic systems. The talk will be mostly based on our paper [arxiv: 1811.12540].