Math @ Duke

Publications [#243866] of Jonathan C. Mattingly
search arxiv.org.Papers Published
 Mattingly, JC; Suidan, TM; VandenEijnden, E, Anomalous dissipation in a stochastically forced infinitedimensional system of coupled oscillators,
Journal of Statistical Physics, vol. 128 no. 5
(2007),
pp. 11451152, ISSN 00224715 [MR2348788], [mathph/0607047], [doi]
(last updated on 2018/10/18)
Abstract: We study a system of stochastically forced infinitedimensional 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.


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