Renormalization fixed point of the KPZ universality class

Details Renormalization fixed point of the KPZ universality class Renormalization fixed point of the KPZ universality class

2011-03-17

arxiv.org/abs/1103.3422v4

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

The one dimensional Kardar-Parisi-Zhang universality class is believed to describe many types of evolving interfaces which also have the same characteristic scaling exponents. These exponents lead to a natural renormalization group action on the evolution of such interfaces. In this Letter we introduce and describe the renormalization group fixed point of the Kardar-Parisi-Zhang universality class in terms of a random nonlinear semigroup with stationary independent increments, and via a variational formula. Furthermore, we compute the exact transition probabilities using replica Bethe ansatz. The semigroup is constructed from the Airy sheet, a four parameter space-time field which is the Airy2 process in each of its two spatial coordinates. Minimizing paths through this field describe the renormalization group fixed point of directed polymers in a random potential.

Affiliated with

Also associated with

No associations

Rating

Renormalization fixed point of the KPZ universality class 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 Renormalization fixed point of the KPZ universality class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization fixed point of the KPZ universality class will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-248293