Appearance of a new universality class in a competition

Abbas Ali Saberi
16:30- 17:30 , 26 Azar
Ibn Al-Haytham Hall, Physics Department, SBU

During the last decade, it has been shown that the universality in various growth models belonging to the Kardar-Parisi-Zhang (KPZ) class holds beyond the second moment in which the height fluctuations of the (1+1)-D model are connected to the Tracy-Widom (TW) distribution of the Gaussian unitary (and orthogonal) random matrix ensembles (GUE or GOE). In this talk, I will first review the progress in the field and then report on the universality of height fluctuations at the crossing point of two interacting (1+1)-D KPZ interfaces with curved and flat initial conditions. I will show that a new class will show up in the competition. I will also discuss possible applications in nonequilibrium transport and traffic flow.