Canonical and noncanonical equilibrium distribution

PDF Version Also Available for Download.


Article discussing research on canonical and noncanonical equilibrium distribution.

Physical Description

13 p.

Creation Information

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


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 123 times . More information about this article can be viewed below.


People and organizations associated with either the creation of this article or its content.



Provided By

UNT College of Arts and Sciences

The UNT College of Arts and Sciences educates students in traditional liberal arts, performing arts, sciences, professional, and technical academic programs. In addition to its departments, the college includes academic centers, institutes, programs, and offices providing diverse courses of study.

Contact Us


Descriptive information to help identify this article. Follow the links below to find similar items on the Digital Library.

Degree Information


Article discussing research on canonical and noncanonical equilibrium distribution.

Physical Description

13 p.


Copyright 2001 American Physical Society. The following article appeared in Physical Review E, 64:1;

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.


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


Item Type


Unique identifying numbers for this article in the Digital Library or other systems.

Publication Information

  • Publication Title: Physical Review E
  • Volume: 64
  • Issue: 1
  • Pages: 13
  • Peer Reviewed: Yes


This article is part of the following collection of related materials.

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.

What responsibilities do I have when using this article?


Dates and time periods associated with this article.

Creation Date

  • 2001

Added to The UNT Digital Library

  • March 9, 2012, 2:17 p.m.

Description Last Updated

  • May 12, 2014, 2:12 p.m.

Usage Statistics

When was this article last used?

Yesterday: 0
Past 30 days: 2
Total Uses: 123

Interact With This Article

Here are some suggestions for what to do next.

Start Reading

PDF Version Also Available for Download.

Citations, Rights, Re-Use

Annunziato, Mario; Grigolini, Paolo & West, Bruce J. Canonical and noncanonical equilibrium distribution, article, 2001; [College Park, Maryland]. ( accessed May 29, 2017), University of North Texas Libraries, Digital Library,; crediting UNT College of Arts and Sciences.