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

Markus Porto; Shlomo Havlin; Stefan Schwarzer; Armin Bunde

doi:10.1103/physrevlett.79.4060

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

Markus Porto, Shlomo Havlin, Stefan Schwarzer, Armin Bunde

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

71 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 language	English
Pages (from-to)	4060-4062
Number of pages	3
Journal	Physical Review Letters
Volume	79
Issue number	21
DOIs	https://doi.org/10.1103/physrevlett.79.4060
State	Published - 24 Nov 1997

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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.",

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AU - Bunde, Armin

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N2 - 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.

AB - 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.

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

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