Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators
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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.
Published Version (Please cite this version)10.1007/s10955-007-9351-8
Publication InfoMattingly, JC; Suidan, TM; & Vanden-Eijnden, E (2007). Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators. Journal of Statistical Physics, 128(5). pp. 1145-1152. 10.1007/s10955-007-9351-8. Retrieved from https://hdl.handle.net/10161/21354.
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James B. Duke Distinguished Professor
Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a BS is Applied Mathematics with a concentration in physics from Yale University. After two years abroad with a year spent at ENS Lyon studying nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to attend Princeton University where he obtained a PhD in Applied and