Langevin equations for interface growth: Edwards-Wilkinson and KPZ equation
Langevin equations are commonly used as a description of a the stochastic dynamics of many-body systems. Here I shall motivate two well known (even 'ubiquitous') equations --- Edwards- Wilkinson and Kardar-Parisi-Zhang --- from the point of view of fluctuating interfaces. If time allows I'll discuss how the symmetric and asymmetric exclusion processes of hopping particles correspond to the two equations and why this implies fundamental physical differences between the two processes.
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..