Optimal path in strong disorder and shortest path in invasion percolation with trapping

Markus Porto, Shlomo Havlin, Stefan Schwarzer, Armin Bunde

Research output: Contribution to journalArticlepeer-review

69 Scopus citations

Abstract

We present analytical and numerical results suggesting that the optimal path in an energy landscape in the strong disorder limit is in the universality class of the shortest path in invasion percolation with trapping. Our results imply that, in contrast to common belief, invasion percolation with trapping and regular percolation in d = 3 are in different universality classes.

Original languageEnglish
Pages (from-to)4060-4062
Number of pages3
JournalPhysical Review Letters
Volume79
Issue number21
DOIs
StatePublished - 24 Nov 1997

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