Document Detail

Effect of network structure on phase transitions in queuing networks.
MedLine Citation:
PMID:  23368008     Owner:  NLM     Status:  Publisher    
Recently, De Martino et al. [J. Stat. Mech. (2009) P08023; Phys. Rev. E 79, 015101 (2009)] have presented a general framework for the study of transportation phenomena on random networks with annealed disorder. One of their most significant achievements was a deeper understanding of the phase transition from the uncongested to the congested phase at a critical traffic load on uncorrelated networks. In this paper, we also study phase transition in transportation networks using a discrete time random walk model. Our aim is to establish a direct connection between the structure of an uncorrelated random graph with quenched disorder and the value of the critical traffic load. We show that if the network is dense, the quenched and annealed formulas for the critical loading probability coincide. For sparse graphs, higher-order corrections, related to the local structure of the network, appear.
Norbert Barankai; Attila Fekete; Gábor Vattay
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-12-13
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  86     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2012 Dec 
Date Detail:
Created Date:  2013-2-1     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  -    
Other Details:
Languages:  ENG     Pagination:  066111     Citation Subset:  -    
Department of the Physics of Complex Systems, Eötvös University, Pázmány Péter Sétány 1/A, H-1117 Budapest, Hungary.
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