Superstatistics from a different perspective

F. Sattin

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this paper we elaborate on the recently proposed superstatistics formalism [C. Beck, E.G.D. Cohen, Physica A 322 (2003) 267], used to interpret unconventional statistics. Their interpretation is that unconventional statistics in dynamical systems arise as weighted averages of the ordinary statistics obeyed by these systems over a statistical distribution of background configurations due to fluctuations intrinsic to the background. In this paper we suggest that the same picture can arise because of the intrinsic dynamics of the system. The dynamics of the system and the background, hence, concur together to determine the overall final statistics: differently evolving systems embedded within the same background can yield different statistical distributions. Some simple examples are provided; among them a toy model able to yield a power-law distribution. Also, some recent independent results are quoted, that appear to support this viewpoint. © 2004 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)437 - 444
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume338
Issue number3-4
DOIs
Publication statusPublished - 15 Jul 2004
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Statistical and Nonlinear Physics

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