Gravitation & Relativity Seminar | May 12, 10:00

Extremum statistics of one dimensional growing interfaces


Interfaces have been widely studied in the past few decades for their relevance in various domains: growing of thin films, vapor deposition, wetting, bacterial growth. In this talk I will caracterize the properties of the extremum of various types of interfaces. This central quantity refines our knowledge of the geometry of such objects. First I will consider equilibrated interfaces and present analytical results concerning the distribution of their Maximal Relative Height (MRH). Then, as an extension to disordered systems, I will consider the MRH of elastic interfaces in random media. The second part of the talk focuses on the growing regime in the KPZ universality class. Our analytical results on the non-intersecting Brownian motions model give new insights about this out of equilibrium system.


Joachim Rambeau, LPT Orsay
Conference Room ITP
Contact: not specified