Linear response to perturbation of non-exponential renewal processes
arXiv:cond-mat/0509184 · doi:10.1103/PhysRevLett.95.220601
Abstract
We study the linear response of a two-state stochastic process, obeying renewal condition, by means of a stochastic rate equation equivalent to a master equation with infinite memory. We show that the condition of perennial aging makes the response to coherent perturbation vanish in the long-time limit.
4 pages
References in corpus (12)
- Statistical Aging and Non Ergodicity in the Fluorescence of Single Nanocrystals
- Non-ergodic Intensity Correlation Functions for Blinking Nano Crystals
- Aging Continuous Time Random Walks
- Power-law tail distributions and nonergodicity
- Non-Markovian Stochastic Resonance
- Ion channel gating: a first passage time analysis of the Kramers type
- Breakdown of the Onsager principle as a sign of aging
- Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations
- Correlation function and generalized master equation of arbitrary age
- Dynamics of Annealed Systems under External Fields: CTRW and the Fractional Fokker-Planck Equations
- Aging and Rejuvenation with Fractional Derivatives
- Quantum dynamics with non-Markovian fluctuating parameters
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