Pulse Propagation in Chains with Nonlinear Interactions

Details Pulse Propagation in Chains with Nonlinear Interactions Pulse Propagation in Chains with Nonlinear Interactions

2003-08-14

arxiv.org/abs/cond-mat/0308296v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.69.016615

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.

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