Generalized survival in equilibrium step fluctuations
Abstract
We investigate the dynamics of a generalized survival probability S(t,R) defined with respect to an arbitrary reference level R (rather than the average) in equilibrium step fluctuations. The exponential decay at large time scales of the generalized survival probability is numerically analyzed. S(t,R) is shown to exhibit simple scaling behavior as a function of system size L , sampling time δt , and the reference level R . The generalized survival time scale τs (R) associated with S(t,R) is shown to decay exponentially as a function of R .
- Publication:
-
Physical Review E
- Pub Date:
- May 2004
- DOI:
- 10.1103/PhysRevE.69.052601
- arXiv:
- arXiv:cond-mat/0312612
- Bibcode:
- 2004PhRvE..69e2601C
- Keywords:
-
- 68.37.Ef;
- 68.35.Ja;
- 05.20.-y;
- 05.40.-a;
- Scanning tunneling microscopy;
- Surface and interface dynamics and vibrations;
- Classical statistical mechanics;
- Fluctuation phenomena random processes noise and Brownian motion;
- Statistical Mechanics
- E-Print:
- 4 pages, 2 figures