Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Universality classes of transition fronts in the FPU model

Abstract : Steady transition fronts in nonlinear lattices are among the most important dynamic coherent structures. We use the Fermi-Pasta-Ulam model with piecewise linear nonlinearity to show that there are exactly three distinct classes of such fronts which differ fundamentally in how (and whether) they produce and transport oscillations. To make this Hamiltonian problem analytically transparent, we construct a quasicontinuum approximation generating all three types of fronts and then show that the interconnection between different classes of fronts in the original discrete model is the same as in the quasicontinuum model. The proposed framework unifies previous attempts to classify the transition fronts as radiative, dispersive, topological or compressive and categorizes them instead as different types of dynamic defects.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03456720
Contributor : Lev Truskinovsky Connect in order to contact the contributor
Submitted on : Tuesday, November 30, 2021 - 11:07:53 AM
Last modification on : Friday, August 5, 2022 - 11:54:23 AM
Long-term archiving on: : Tuesday, March 1, 2022 - 6:41:38 PM

File

2104.05649(3).pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03456720, version 1

Citation

N Gorbushin, A Vainchtein, L Truskinovsky. Universality classes of transition fronts in the FPU model. 2021. ⟨hal-03456720⟩

Share

Metrics

Record views

16

Files downloads

3