Friday, June 15, 2012

1111.4634 (Takashi Imamura et al.)

Exact solution for the stationary Kardar-Parisi-Zhang equation    [PDF]

Takashi Imamura, Tomohiro Sasamoto
We obtain the first exact solution for the stationary one-dimensional Kardar-Parisi-Zhang equation. A formula for the distribution of the height is given in terms of a Fredholm determinant, which is valid for any finite time $t$. The expression is explicit and compact enough so that it can be evaluated numerically. Furthermore, by extending the same scheme, we find an exact formula for the stationary two-point correlation function.
View original:

No comments:

Post a Comment