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Título: | Variational Principle for the Pareto Power Law |
Autor: | Chakraborti, Anirban; Patriarca, Marco CSIC ORCID | Fecha de publicación: | 2009 | Editor: | American Physical Society | Citación: | Physical Review Letters 103: 228701 (2009) | Resumen: | A 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. | URI: | http://hdl.handle.net/10261/25729 | DOI: | 10.1103/PhysRevLett.103.228701 | ISSN: | 0031-9007 |
Aparece en las colecciones: | (IFISC) Artículos |
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Patriarca2009_PRL103-228701.pdf | 128,66 kB | Adobe PDF | Visualizar/Abrir |
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