Canonical and noncanonical equilibrium distribution

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Article discussing research on canonical and noncanonical equilibrium distribution.

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13 p.

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Annunziato, Mario; Grigolini, Paolo & West, Bruce J. 2001.

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Article discussing research on canonical and noncanonical equilibrium distribution.

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13 p.

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Copyright 2001 American Physical Society. The following article appeared in Physical Review E, 64:1; http://pre.aps.org/abstract/PRE/v64/i1/e011107

Abstract: We address the problem of the dynamical foundation of noncanonical equilibrium. We consider, as a source of divergence from ordinary statistical mechanics, the breakdown of the condition of time scale separation between microscopic and macroscopic dynamics. We show that this breakdown has the effect of producing a significant deviation from the canonical prescription. We also show that, while the canonical equilibrium can be reached with no apparent dependence on dynamics, the specific form of noncanonical equilibrium is, in fact, determined by dynamics. We consider the special case where the thermal reservoir driving the system of interest to equilibrium is a generator of intermittent fluctuations. We assess the form of the noncanonical equilibrium reached by the system in this case. Using both theoretical and numerical arguments we demonstrate that Lévy statistics are the best description of the dynamics and that the Lévy distribution is the correct basin of attraction. We show that the correct path to noncanonical equilibrium by means of strictly thermodynamic arguments has not yet been found, and that further research has to be done to establish a connection between dynamics and thermodynamics.

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  • Physical Review E, 2001, College Park: American Physical Society

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  • Publication Title: Physical Review E
  • Volume: 64
  • Issue: 1
  • Pages: 13
  • 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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  • 2001

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  • March 9, 2012, 2:17 p.m.

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  • May 12, 2014, 2:12 p.m.

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Annunziato, Mario; Grigolini, Paolo & West, Bruce J. Canonical and noncanonical equilibrium distribution, article, 2001; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc77164/: accessed February 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.