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Title

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.
URIhttp://hdl.handle.net/10261/25729
DOI10.1103/PhysRevLett.103.228701
ISSN0031-9007
Appears in Collections:(IFISC) Artículos
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