# Participation Ratio for Constraint-Driven Condensation with Superextensive Mass

Laboratoire Interdisciplinaire de Physique (LIPHY), Université Grenoble Alpes and CNRS, F-38000 Grenoble, France

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Received: 30 August 2017 / Revised: 19 September 2017 / Accepted: 22 September 2017 / Published: 26 September 2017

(This article belongs to the Special Issue Thermodynamics and Statistical Mechanics of Small Systems)

# Abstract

Broadly distributed random variables with a power-law distribution*N*(independent and identically distributed) terms is for large

*N*of the same order as the sum itself. In particular, when the distribution has infinite mean (

*constrained*condensation takes places fixing the total mass to a large enough value

*weak*condensation phenomenon takes place. We focus on the evaluation of the participation ratio as a generic indicator of condensation, also recalling or presenting results in the standard cases of unconstrained mass and of fixed extensive mass. View Full-Text

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**MDPI and ACS Style**

Gradenigo, G.; Bertin, E. Participation Ratio for Constraint-Driven Condensation with Superextensive Mass. *Entropy* **2017**, *19*, 517.

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