Pulse Propagation in Chains with Nonlinear Interactions
Soft Condensed Matter
2009-11-10 v1 Statistical Mechanics
Abstract
Pulse propagation in nonlinear arrays continues to be of interest because it provides a possible mechanism for energy transfer with little dispersion. Here we show that common measures of pulse dispersion might be misleading; in strongly anharmonic systems they tend to reflect a succession of extremely narrow pulses traveling at decreasing velocities rather than the actual width of a single pulse. We present analytic estimates for the fraction of the initial energy that travels in the leading pulses. We also provide analytic predictions for the leading pulse velocity in a Fermi-Pasta-Ulam beta-chain.
Cite
@article{arxiv.cond-mat/0308296,
title = {Pulse Propagation in Chains with Nonlinear Interactions},
author = {Alexandre Rosas and Katja Lindenberg},
journal= {arXiv preprint arXiv:cond-mat/0308296},
year = {2009}
}