Linear response at criticality

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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.

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10 p.

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Svenkeson, Adam; Bologna, Mauro & Grigolini, Paolo October 24, 2012.

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This article is part of the collection entitled: UNT Scholarly Works and was provided by UNT College of Arts and Sciences to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 65 times . More information about this article can be viewed below.

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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.

Physical Description

10 p.

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

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.

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  • Physical Review E, 2012, College Park: American Physical Society

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  • Publication Title: Physical Review E
  • Volume: 86
  • Pages: 10
  • Peer Reviewed: Yes

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UNT Scholarly Works

The Scholarly Works Collection is home to materials from the University of North Texas community's research, creative, and scholarly activities and serves as UNT's Open Access Repository. It brings together articles, papers, artwork, music, research data, reports, presentations, and other scholarly and creative products representing the expertise in our university community. Access to some items in this collection may be restricted.

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  • October 24, 2012

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  • Jan. 16, 2013, 12:47 p.m.

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  • April 2, 2014, 3:45 p.m.

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Svenkeson, Adam; Bologna, Mauro & Grigolini, Paolo. Linear response at criticality, article, October 24, 2012; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc132985/: accessed April 26, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.