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 $\delta t$, and the reference level $R$. The generalized survival time scale, ${\tau }_s(R)$, associated with $S(t,R)$ is shown to decay exponentially as a function of $R$.

4 pages, 2 figures

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Cited by in corpus (2)

• Persistence of Randomly Coupled Fluctuating Interfaces
• Persistence and survival in equilibrium step fluctuations