Anti-localization of non-stationary quasi-waves in a strongly nonlinear -FPUT chain
arXiv:2504.20162 · doi:10.1016/j.mechrescom.2025.104591
Abstract
Recently, a new general wave phenomenon, namely "the anti-localization of non-stationary linear waves", has been introduced and discussed (Shishkina et al., J. Sound. Vib. 553, 2023, 117673). This is zeroing of the propagating component for a non-stationary wave-field near a defect in infinitely long wave-guides. The phenomenon is known to be observed in both continuum and discrete mechanical systems with a defect, provided that the frequency spectrum for the corresponding homogeneous system possesses a stop-band. In this paper, we show that the anti-localization is also quite common for nonlinear systems. To demonstrate this, we numerically solve several non-stationary problems for an infinite strongly nonlinear -FPUT chain with a defect. In our opinion, the anti-localization essentially influences the processes of heat transfer in linear and nonlinear lattices.
12 pages, 12 figures
References in corpus (8)
- Measuring Nonequilibrium Temperature of Forced Oscillators
- Kapitza thermal resistance in linear and nonlinear chain models: isotopic defect
- Unsteady ballistic heat transport in a 1D harmonic crystal due to a source on an isotopic defect
- Steady-state ballistic thermal transport associated with transversal motions in a damped graphene lattice subjected to a point heat source
- Discrete and continuum fundamental solutions describing heat conduction in 1D harmonic crystal: Discrete-to-continuum limit and slow-and-fast motions decoupling
- The anti-localization of non-stationary linear waves and its relation to the localization. The simplest illustrative problem
- Non-stationary elastic wave scattering and energy transport in a one-dimensional harmonic chain with an isotopic defect
- Universal formal asymptotics for localized oscillation of a discrete mass-spring-damper system of time-varying properties, embedded into a one-dimensional medium described by the telegraph equation with variable coefficients