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Pramana

, Volume 71, Issue 2, pp 319–329 | Cite as

Dynamics of bootstrap percolation

  • Prabodh ShuklaEmail author
Article

Abstract

Bootstrap percolation transition may be first order or second order, or it may have a mixed character where a first-order drop in the order parameter is preceded by critical fluctuations. Recent studies have indicated that the mixed transition is characterized by power-law avalanches, while the continuous transition is characterized by truncated avalanches in a related sequential bootstrap process. We explain this behaviour on the basis of an analytical and numerical study of the avalanche distributions on a Bethe lattice.

Keywords

Percolation bootstrap k-core avalanches power laws fluctuation-driven first-order phase transitions 

PACS Nos

64.60.ah 64.60.De 64.60.Ht 75.60.Ej 89.75.Da 

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Copyright information

© Indian Academy of Sciences 2008

Authors and Affiliations

  1. 1.Physics DepartmentNorth Eastern Hill UniversityShillongIndia

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