Stretched exponential relaxation in the mode-coupling theory for the Kardar-Parisi-Zhang equation

Details Stretched exponential relaxation in the mode-coupling theory for the Kardar-Parisi-Zhang equation Stretched exponential relaxation in the mode-coupling theory for the Kardar-Parisi-Zhang equation

2000-11-10

arxiv.org/abs/cond-mat/0011191v1

Physics

Condensed Matter

Statistical Mechanics

RevTex, 4 pages, 1 figure

Scientific paper

10.1103/PhysRevE.63.057103

We study the mode-coupling theory for the Kardar-Parisi-Zhang equation in the strong-coupling regime, focusing on the long time properties. By a saddle point analysis of the mode-coupling equations, we derive exact results for the correlation function in the long time limit - a limit which is hard to study using simulations. The correlation function at wavevector k in dimension d is found to behave asymptotically at time t as C(k,t)\simeq 1/k^{d+4-2z} (Btk^z)^{\gamma/z} e^{-(Btk^z)^{1/z}}, with \gamma=(d-1)/2, A a determined constant and B a scale factor.

Affiliated with

Also associated with

No associations

Rating

Stretched exponential relaxation in the mode-coupling theory for the Kardar-Parisi-Zhang equation 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 Stretched exponential relaxation in the mode-coupling theory for the Kardar-Parisi-Zhang equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stretched exponential relaxation in the mode-coupling theory for the Kardar-Parisi-Zhang equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-654800