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Generalized survival in equilibrium step fluctuations

M. Constantin·S. Das Sarma
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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, $τ_s(R)$, associated with $S(t,R)$ is shown to decay exponentially as a function of $R$.

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M. Constantin, S. Das Sarma. 2004-05-14. Generalized survival in equilibrium step fluctuations. https://doi.org/10.1103/physreve.69.052601

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