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Phys. Rev. Lett. 95, 220601 (2005) [4 pages]

Linear Response to Perturbation of Nonexponential Renewal Processes

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Francesco Barbi1, Mauro Bologna2, and Paolo Grigolini1,3,4
1Dipartimento di Fisica “E. Fermi,” Universitá di Pisa, Largo Pontecorvo, 3 56127 Pisa, Italy
2Departamento de Física, Universidad de Tarapacá, Campus Velásquez, Velásquez 1775, Casilla 7-D, Arica, Chile
3Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203-1427, USA
4Istituto dei Processi Chimico Fisici del CNR, Area della Ricerca di Pisa, Via G. Moruzzi, 56124 Pisa, Italy

Received 12 July 2005; published 23 November 2005

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.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.95.220601
DOI: 10.1103/PhysRevLett.95.220601
PACS: 05.40.Fb, 02.50.−r, 82.20.Uv

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