Journal article
Solitary waves in diatomic chains
Physical review. E, v 93(4), pp 042210-042210
18 Apr 2016
PMID: 27176296
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We consider the mechanism of formation of isolated localized wave structures in the diatomic Fermi-Pasta-Ulam (FPU) model. Using a singular multiscale asymptotic analysis in the limit of high mass mismatch between the alternating elements, we obtain the typical slow-fast time scale separation and formulate the Fredholm orthogonality condition approximating a sequence of mass ratios supporting the formation of solitary waves in the general type of diatomic FPU models. This condition is made explicit in the case of a diatomic Toda lattice. Results of numerical integration of the full diatomic Toda lattice equations confirm the formation of these genuinely localized wave structures at special values of the mass ratio that are close to the analytical predictions when the ratio is sufficiently small.
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Details
- Title
- Solitary waves in diatomic chains
- Creators
- Anna Vainchtein - University of PittsburghYuli Starosvetsky - Technion – Israel Institute of TechnologyJ. Douglas Wright - Drexel UniversityRon Perline - Drexel University
- Publication Details
- Physical review. E, v 93(4), pp 042210-042210
- Publisher
- Amer Physical Soc
- Number of pages
- 12
- Grant note
- DMS-1506904; DMS-1105635; DMS-1511488 / U.S. National Science Foundation; National Science Foundation (NSF) 1511488 / Division Of Mathematical Sciences; National Science Foundation (NSF); NSF - Directorate for Mathematical & Physical Sciences (MPS) 484/12 / Israeli Science Foundation; Israel Science Foundation 263/15 / PAZI Fund (Israel Atomic Energy Commission)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000374553300005
- Scopus ID
- 2-s2.0-84964490697
- Other Identifier
- 991019173998704721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical