• Dynamics of bootstrap percolation

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    • Keywords


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

    • 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.

    • Author Affiliations


      Prabodh Shukla1

      1. Physics Department, North Eastern Hill University, Shillong 793 022, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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