APS » PROLA » Phys. Rev. Lett. » Volume 79 » Issue 21

Phys. Rev. Lett. 79, 4060 - 4062 (1997)

Optimal Path in Strong Disorder and Shortest Path in Invasion Percolation with Trapping

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Markus Porto1,2, Shlomo Havlin1,2, Stefan Schwarzer3, and Armin Bunde1
1Institut für Theoretische Physik III, Justus-Liebig-Universität Giessen, Heinrich-Buff-Ring 16, 35392 Giessen, Germany
2Minerva Center and Department of Physics, Bar-Ilan University, 52900 Ramat-Gan, Israel
3Institut für Computeranwendungen 1, Universität Stuttgart, 70569 Stuttgart, Germany

Received 17 July 1997

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.


©1997 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v79/p4060
DOI: 10.1103/PhysRevLett.79.4060
PACS: 05.40.+j, 02.50.-r, 47.55.Mh, 64.60.Ak

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