English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/25728
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:


Variational Principle for the Pareto Power Law

AuthorsChakraborti, Anirban; Patriarca, Marco
Issue Date2009
PublisherAmerican Physical Society
CitationPhysical Review Letters 103: 228701 (2009)
AbstractA mechanism is proposed for the appearance of power-law distributions in various complex systems. It is shown that in a conservative mechanical system composed of subsystems with different numbers of degrees of freedom a robust power-law tail can appear in the equilibrium distribution of energy as a result of certain superpositions of the canonical equilibrium energy densities of the subsystems. The derivation only uses a variational principle based on the Boltzmann entropy, without assumptions outside the framework of canonical equilibrium statistical mechanics. Two examples are discussed, free diffusion on a complex network and a kinetic model of wealth exchange. The mechanism is illustrated in the general case through an exactly solvable mechanical model of a dimensionally heterogeneous system.
Appears in Collections:(IFISC) Artículos
Files in This Item:
File Description SizeFormat 
Patriarca2009_PRL103-228701.pdf128,66 kBAdobe PDFThumbnail
Show full item record
Review this work

Related articles:

WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.