Persistence of Kardar-Parisi-Zhang interfaces
Persistence of Kardar-Parisi-Zhang interfaces
The probabilities P±(t0,t) that a growing Kardar-Parisi-Zhang interface remains above or below the mean height in the time interval (t0,t) are shown numerically to decay as P± ∼ (t0/t)θ± with θ+ = 1.18 ± 0.08 and θ− = 1.64 ± 0.08. Bounds on θ± are derived from the height autocorrelation …