Correlation Function and Generalized Master Equation of Arbitrary Age


Article discussing research on correlation function and generalized master equation of arbitrary age.

Creation Date: June 10, 2005
UNT College of Arts and Sciences
UNT Scholarly Works
Total Uses: 140
Past 30 days: 1
Yesterday: 0
Creator (Author):
Allegrini, Paolo

Unitá di Como

Creator (Author):
Aquino, Gerardo

University of North Texas

Creator (Author):
Grigolini, Paolo

University of North Texas; Universitá di Pisa and INFM; Area della Ricerca di Pisa

Creator (Author):
Palatella, Luigi

Universitá di Roma

Creator (Author):
Rosa, Angelo

École Polytechique Fédérale de Lausanne

Creator (Author):
West, Bruce J.

United States. Army Research Office

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
  • Creation: June 10, 2005

Article discussing research on correlation function and generalized master equation of arbitrary age.

Department: Physics

Copyright 2005 American Physical Society. The following article appeared in Physical Review E, 71:6;


Abstract: We study a two-state statistical process with a non-Poisson distribution of sojourn times. In accordance with earlier work, we find that this process is characterized by aging and we study three different ways to define the correlation function of arbitrary age of the corresponding dichotomous fluctuation. These three methods yield exact expressions, thus coinciding with the recent result by Godrèche and Luck [J. Stat. Phys. 104, 489 (2001)]. Actually, non-Poisson statistics yields infinite memory at the probability level, thereby breaking any form of Markovian approximation, including the one adopted herein, to find an approximated analytical formula. For this reason, we check the accuracy of this approximated formula by comparing it with the numerical treatment of the second of the three exact expressions. We find that, although not exact, a simple analytical expression for the correlation function of arbitrary age is very accurate. We establish a connection between the correlation function and a generalized master equation of the same age. Thus this formalism, related to models used in glassy materials, allows us to illustrate an approach to the statistical treatment of blinking quantum dots, bypassing the limitations of the conventional Liouville treatment.

Physical Description:

12 p.

Keyword(s): non-Poisson | arbitrary ages
Source: Physical Review E, 2005, College Park: American Physical Society
UNT College of Arts and Sciences
UNT Scholarly Works
  • DOI: 10.1103/PhysRevE.71.066109 |
  • ARK: ark:/67531/metadc40401
Resource Type: Article
Format: Text
Access: Public
Publication Title: Physical Review E
Volume: 71
Issue: 6
Peer Reviewed: Yes