Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators
Publication
, Journal Article
Mattingly, JC; Suidan, TM; Vanden-Eijnden, E
Published in: Journal of Statistical Physics
2007
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.
Duke Scholars
Published In
Journal of Statistical Physics
DOI
ISSN
0022-4715
Publication Date
2007
Volume
128
Issue
5
Start / End Page
1145 / 1152
Related Subject Headings
- Fluids & Plasmas
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Mattingly, J. C., Suidan, T. M., & Vanden-Eijnden, E. (2007). Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators. Journal of Statistical Physics, 128(5), 1145–1152. https://doi.org/10.1007/s10955-007-9351-8
Mattingly, J. C., T. M. Suidan, and E. Vanden-Eijnden. “Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators.” Journal of Statistical Physics 128, no. 5 (2007): 1145–52. https://doi.org/10.1007/s10955-007-9351-8.
Mattingly JC, Suidan TM, Vanden-Eijnden E. Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators. Journal of Statistical Physics. 2007;128(5):1145–52.
Mattingly, J. C., et al. “Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators.” Journal of Statistical Physics, vol. 128, no. 5, 2007, pp. 1145–52. Scival, doi:10.1007/s10955-007-9351-8.
Mattingly JC, Suidan TM, Vanden-Eijnden E. Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators. Journal of Statistical Physics. 2007;128(5):1145–1152.
Published In
Journal of Statistical Physics
DOI
ISSN
0022-4715
Publication Date
2007
Volume
128
Issue
5
Start / End Page
1145 / 1152
Related Subject Headings
- Fluids & Plasmas
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences