Abstract
We study optimal paths in disordered energy landscapes using energy distributions of the type [Formula Presented] that lead to the strong disorder limit. If we truncate the distribution, so that [Formula Presented] only for [Formula Presented] and [Formula Presented] otherwise, we obtain a crossover from self-similar (strong disorder) to self-affine (moderate disorder) behavior at a path length [Formula Presented] We find that [Formula Presented] where the exponent [Formula Presented] has the value [Formula Presented] both in [Formula Presented] and [Formula Presented] We show how the crossover can be understood from the distribution of local energies on the optimal paths.
Original language | English |
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Pages (from-to) | R2448-R2451 |
Journal | Physical Review E |
Volume | 60 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1999 |