Correlation Function and Generalized Master Equation of Arbitrary Age Metadata

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Title

  • Main Title Correlation Function and Generalized Master Equation of Arbitrary Age

Creator

  • Author: Allegrini, Paolo
    Creator Type: Personal
    Creator Info: Unitá di Como
  • Author: Aquino, Gerardo
    Creator Type: Personal
    Creator Info: University of North Texas
  • Author: Grigolini, Paolo
    Creator Type: Personal
    Creator Info: University of North Texas; Universitá di Pisa and INFM; Area della Ricerca di Pisa
  • Author: Palatella, Luigi
    Creator Type: Personal
    Creator Info: Universitá di Roma
  • Author: Rosa, Angelo
    Creator Type: Personal
    Creator Info: École Polytechique Fédérale de Lausanne
  • Author: West, Bruce J.
    Creator Type: Personal
    Creator Info: United States. Army Research Office

Publisher

  • Name: American Physical Society
    Place of Publication: [College Park, Maryland]

Date

  • Creation: 2005-06-10

Language

  • English

Description

  • Content Description: Article discussing research on correlation function and generalized master equation of arbitrary age.
  • Physical Description: 12 p.

Subject

  • Keyword: non-Poisson
  • Keyword: arbitrary ages

Source

  • Journal: Physical Review E, 2005, College Park: American Physical Society

Citation

  • Publication Title: Physical Review E
  • Volume: 71
  • Issue: 6
  • Peer Reviewed: True

Collection

  • Name: UNT Scholarly Works
    Code: UNTSW

Institution

  • Name: UNT College of Arts and Sciences
    Code: UNTCAS

Rights

  • Rights Access: public

Resource Type

  • Article

Format

  • Text

Identifier

  • DOI: 10.1103/PhysRevE.71.066109
  • Archival Resource Key: ark:/67531/metadc40401

Degree

  • Academic Department: Physics
  • Academic Department: Center for Nonlinear Science

Note

  • Display Note: Copyright 2005 American Physical Society. The following article appeared in Physical Review E, 71:6; http://pre.aps.org/abstract/PRE/v71/i6/e066109
  • Display Note: 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.