Linear Response to Perturbation of Nonexponential Renewal Processes

2005/09/07 by Francesco Barbi, Mauro Bologna, Paolo Grigolini · 1 citation
Environmental Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Ecosystem dynamics and resilience #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.95.220601

4 pages

arxiv created 2005/09/07 · openalex publication_date 2005/11/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the linear response of a two-state stochastic process, obeying the 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.

Citations

• Aging and rejuvenation with fractional derivatives
• Nonergodicity of Blinking Nanocrystals and Other Lévy-Walk Processes
• Power-Law Tail Distributions and Nonergodicity
• Dynamics of annealed systems under external fields: CTRW and the fractional Fokker-Planck equations

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