Almost-dispersionless pulse transport in long quasiuniform spring-mass chains: A different kind of Newton's cradle

Physical Review. E
Ruggero Vaia

Abstract

Almost-dispersionless pulse transfer between the extremal masses of a uniform harmonic spring-mass chain of arbitrary length can be induced by suitably modifying two masses and their spring's elastic constant at both extrema of the chain. It is shown that a deviation (or a pulse) imposed to the first mass gives rise to a wave packet that, after a time of the order of the chain length, almost perfectly reproduces the same deviation (pulse) at the opposite end, with an amplitude loss that is as small as 1.3% in the infinite-length limit; such a dynamics can continue back and forth again for several times before dispersion cleared the effect. The underlying coherence mechanism is that the initial condition excites a bunch of normal modes with almost equal frequency spacing. This constitutes a possible mechanism for efficient energy transfer, e.g., in nanofabricated structures.

References

Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A SarmientoK Lindenberg
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexandre Rosas, Katja Lindenberg
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paul Glendinning

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