Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators

dc.contributor.author

Mattingly, JC

dc.contributor.author

Suidan, TM

dc.contributor.author

Vanden-Eijnden, E

dc.date.accessioned

2020-08-29T16:35:26Z

dc.date.available

2020-08-29T16:35:26Z

dc.date.issued

2007-09-01

dc.date.updated

2020-08-29T16:35:25Z

dc.description.abstract

We study a system of stochastically forced infinite-dimensional coupled harmonic oscillators. Although this system formally conserves energy and is not explicitly dissipative, we show that it has a nontrivial invariant probability measure. This phenomenon, which has no finite dimensional equivalent, is due to the appearance of some anomalous dissipation mechanism which transports energy to infinity. This prevents the energy from building up locally and allows the system to converge to the invariant measure. The invariant measure is constructed explicitly and some of its properties are analyzed. © 2007 Springer Science+Business Media, LLC.

dc.identifier.issn

0022-4715

dc.identifier.issn

1572-9613

dc.identifier.uri

https://hdl.handle.net/10161/21354

dc.language

en

dc.publisher

Springer Science and Business Media LLC

dc.relation.ispartof

Journal of Statistical Physics

dc.relation.isversionof

10.1007/s10955-007-9351-8

dc.subject

Science & Technology

dc.subject

Physical Sciences

dc.subject

Physics, Mathematical

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Physics

dc.title

Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators

dc.type

Journal article

duke.contributor.orcid

Mattingly, JC|0000-0002-1819-729X

pubs.begin-page

1145

pubs.end-page

1152

pubs.issue

5

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Mathematics

pubs.organisational-group

Duke

pubs.publication-status

Published

pubs.volume

128

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