Material surfaces in stochastic flows: Integrals of motion and intermittency.
basic_science · Level V
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- Record sourced from PubMed, PMID 36932523.
- Also identified by DOI 10.1103/PhysRevE.107.L023101.
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Abstract
We consider the line, surface, and volume elements of fluid in stationary isotropic incompressible stochastic flow in d-dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family of d!-1 stochastical integrals of motion that are universal in the sense that their explicit form does not depend on the statistics of velocity. Only one of them has been discussed previously.