Linear response at criticality

Description:

In this article, the authors study a set of cooperatively interacting units at criticality, and prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots.

Creator(s):
Creation Date: October 24, 2012
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
Usage:
Total Uses: 39
Past 30 days: 1
Yesterday: 0
Creator (Author):
Svenkeson, Adam

University of North Texas

Creator (Author):
Bologna, Mauro

Universidad de Tarapac√°-Casilla

Creator (Author):
Grigolini, Paolo

University of North Texas

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: October 24, 2012
Description:

In this article, the authors study a set of cooperatively interacting units at criticality, and prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots.

Degree:
Department: Physics
Note:

Copyright 2012 American Physical Society. The following article appeared in Physical Review E, 86; http://pre.aps.org/abstract/PRE/v86/i4/e041145

Note:

Abstract: We study a set of cooperatively interacting units at criticality, and we prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots, thereby giving a stronger support to the results of earlier investigation. By analyzing how this out-of-equilibrium system responds to harmonic perturbations, we find that the response can be described only using only a new form of linear response theory that accounts for aging and the nonergodic behavior of the underlying process. We connect the undamped response of the system at criticality to the decaying response predicted by the recently established nonergodic fluctuation-dissipation theorem for dichotomous processes using information about the second moment of the fluctuations. We demonstrate that over a wide range of perturbation frequencies the response of the cooperative system is greatest when at criticality.

Physical Description:

10 p.

Language(s):
Subject(s):
Keyword(s): criticality | linear response | nonergodic | quantum dot | fluctuation-dissipation
Source: Physical Review E, 2012, College Park: American Physical Society
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevE.86.041145
  • ARK: ark:/67531/metadc132985
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review E
Volume: 86
Pages: 10
Peer Reviewed: Yes