Non-equilibrium mean-field theories on scale-free networks

Autor:	Caccioli, F., Dall'Asta, L.
Rok vydání:	2008
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/2009/10/P10004
Popis:	Many non-equilibrium processes on scale-free networks present anomalous critical behavior that is not explained by standard mean-field theories. We propose a systematic method to derive stochastic equations for mean-field order parameters that implicitly account for the degree heterogeneity. The method is used to correctly predict the dynamical critical behavior of some binary spin models and reaction-diffusion processes. The validity of our non-equilibrium theory is furtherly supported by showing its relation with the generalized Landau theory of equilibrium critical phenomena on networks. Comment: 4 pages, no figures, major changes in the structure of the paper
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0810.5752 Zobrazit plný text záznamu View this record from Arxiv