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Journal article
Using random walks to establish wavelike behavior in a linear FPUT system with random coefficients
Discrete and continuous dynamical systems. Series S
2021
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Abstract
We consider a linear Fermi-Pasta-Ulam-Tsingou lattice with random spatially varying material coefficients. Using the methods of stochastic homogenization we show that solutions with long wave initial data converge in an appropriate sense to solutions of a wave equation. The convergence is strong and both almost sure and in expectation, but the rate is quite slow. The technique combines energy estimates with powerful classical results about random walks, specifically the law of the iterated logarithm.
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Details
- Title
- Using random walks to establish wavelike behavior in a linear FPUT system with random coefficients
- Creators
- Joshua A. McGinnisJ. Douglas Wright
- Publication Details
- Discrete and continuous dynamical systems. Series S
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000706069700001
- Scopus ID
- 2-s2.0-85135454970
- Other Identifier
- 991019182645004721
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- Web of Science research areas
- Mathematics, Applied