Renewal aging and linear response

Description:

Paper discussing the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion.

Creator(s):
Creation Date: February 6, 2008
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
Usage:
Total Uses: 56
Past 30 days: 0
Yesterday: 0
Creator (Author):
Allegrini, Paolo

Università di Pisa

Creator (Author):
Ascolani, Gianluca

Università di Pisa

Creator (Author):
Bologna, Mauro

Universidad de Tarapacá

Creator (Author):
Grigolini, Paolo

University of North Texas; Università di Pisa; Istituto dei Processi Chimico Fisici del Consiglio Nazionale delle Ricerche

Date(s):
  • Creation: February 6, 2008
Description:

Paper discussing the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion.

Degree:
Department: Physics
Note:

This is the pre-print version of the paper.

Note:

Abstract: We study the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion. We use the phenomenological approach to the linear response adopted in earlier work of other groups, and we find that aging may have the effect of annihilating any sign of coherent response to harmonic perturbation. We also derive the linear response using dynamic arguments and we find a coherent response, although with an intensity dying out very slowly. In the case of a step-like perturbation the dynamic arguments yield in the long-time limit a steady signal whose intensity may be significantly smaller than the phenomenological approach prediction.

Physical Description:

19 p.

Language(s):
Subject(s):
Keyword(s): linear responses | aging | perturbation | statistical thermodynamics
Source: arXiv: cond-mat/0602281
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • ARK: ark:/67531/metadc174702
Resource Type: Paper
Format: Text
Rights:
Access: Public