| Issue |
Europhys. Lett.
Volume 45, Number 1, January I 1999
|
|
|---|---|---|
| Page(s) | 20 - 25 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1999-00125-0 | |
| Published online | 01 September 2002 | |
Persistence of Kardar-Parisi-Zhang interfaces
1
Center for Polymer Studies, Boston University - Boston, MA 02215, USA
2
Höchstleistungsrechenzentrum, Forschungszentrum Jülich - 52425 Jülich, Germany
3
Fachbereich Physik, Universität GH Essen, D-45117 Essen, Germany
Received:
31
August
1998
Accepted:
5
November
1998
The probabilities 
that a growing Kardar-Parisi-Zhang
interface remains above
or below the mean height in the time interval 
are shown
numerically to decay as 
with
and 
. Bounds on
are derived from the height autocorrelation function
under the assumption of Gaussian statistics. The autocorrelation
exponent 
for a d–dimensional interface with
roughness and dynamic exponents β and z is conjectured to be
. For a recently proposed discretization
of the KPZ equation we find oscillatory persistence probabilities,
indicating hidden temporal correlations.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 81.10.Aj – Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation / 02.50.-r – Probability theory, stochastic processes, and statistics
© EDP Sciences, 1999
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