Theoretical Physics Colloquium

Tuesday, October 3, 2017
from
to
(Asia/Kolkata)

at AG69

at AG69

Description |
We review recent progress in describing the statistics of height fluctuations in 1D Kardar Parisi Zhang (KPZ) growth, focusing on the KPZ equation and its integrability properties via the mapping onto the Lieb Liniger model of impenetrable bosons. We recall the replica Bethe Ansatz method and how it allows to calculate one time probabilities, and shows the emergence of the Tracy Widom distributions of random matrix theory. We then study the two-time problem, the so called aging problem, which is still outstanding: the aim is to obtain the joint probability distribution of heights at time |