Superstatistics, escort distributions, and applications

2003/12/04 by Christian Beck · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #Complex Systems and Time Series Analysis #Computer science #Physics #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physa.2004.04.070

7 pages, 2 figures. Based on invited talk at LAWNP03 (Salvador)

arxiv created 2003/12/04 · openalex publication_date 2004/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Superpositions of different statistics on different time or spatial scales (in short, superstatistics) can naturally lead to an effective description by nonextensive statistical mechanics. We first discuss the role of escort distributions within the superstatistical framework, and then briefly describe recent physical applications of this concept to turbulent and pattern forming systems.

Citations

• Fluxes of cosmic rays: a delicately balanced stationary state
• Lagrangian acceleration statistics in turbulent flows
• Multiparameter generalization of nonextensive statistical mechanics
• Measurement of particle accelerations in fully developed turbulence

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