Discerning differences among anomalously wandering directed polymers
Journal
Physical Review E
Journal Volume
47
Journal Issue
2
Date Issued
1993
Author(s)
Abstract
We contrast the effects of uncorrelated power-law noise and linearly correlated Gaussian noise upon the anomalous wandering of directed polymers in random media. In the first instance, we explore the role of the noise on the morphology of the ultrametric tree structure of the ensemble of locally optimal paths, and then, motivated by the work of Zhang [Phys. Rev. Lett. 59, 2125 (1987)] and more recently by Perlsman and Schwartz [Europhys. Lett. 17, 11 (1992)], provide strong evidence for the universality of the model's river basin patterns. Lastly, we discuss those precise features of the positional and energy fluctuations that could permit a resourceful experimentalist to discern the noise distribution underlying anomalous roughening recently observed in fire fronts, bacterial growth, and fluid flow through porous media.
Type
journal article