Generalized survival in equilibrium step fluctuations
M. Constantin, S. Das Sarma
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.
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