An exact solution for the KPZ equation with flat initial conditions

Details An exact solution for the KPZ equation with flat initial conditions An exact solution for the KPZ equation with flat initial conditions

2011-04-11

arxiv.org/abs/1104.1993v1

Phys.Rev.Lett.106:250603,2011

Physics

Condensed Matter

Statistical Mechanics

4 pages, no figure

Scientific paper

10.1103/PhysRevLett.106.250603

We provide the first exact calculation of the height distribution at arbitrary time $t$ of the continuum KPZ growth equation in one dimension with flat initial conditions. We use the mapping onto a directed polymer (DP) with one end fixed, one free, and the Bethe Ansatz for the replicated attractive boson model. We obtain the generating function of the moments of the DP partition sum as a Fredholm Pfaffian. Our formula, valid for all times, exhibits convergence of the free energy (i.e. KPZ height) distribution to the GOE Tracy Widom distribution at large time.

Affiliated with

Also associated with

No associations

Rating

An exact solution for the KPZ equation with flat initial conditions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An exact solution for the KPZ equation with flat initial conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An exact solution for the KPZ equation with flat initial conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-58881