Dynamics of bootstrap percolation

Pramana

Prabodh Shukla1¹ 

[1] Physics Department, North Eastern Hill University, Shillong 793 022, India$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown