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Title: Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence

Journal Article · · Journal of Statistical Physics

Analyses have disagreed on whether the velocity uT of bulk advancement of a Huygens front in turbulence vanishes or remains finite in the limit of vanishing local front propagation speed u0. Here, a connection to the large-deviation statistics of log-correlated random processes enables a definitive determination of the correct small-u0 asymptotics. This result reconciles several theoretical and phenomenological perspectives with the conclusion that uT remains finite for vanishing u0, which implies a propagation anomaly akin to the energy-dissipation anomaly in the limit of vanishing viscosity. Various leading-order structural properties such as a novel u0 dependence of a bulk length scale associated with front geometry are predicted in this limit. As a result, the analysis involves a formal analogy to random advection of diffusive scalars.

Research Organization:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1529002
Report Number(s):
SAND-2019-5017J; 675258
Journal Information:
Journal of Statistical Physics, Vol. 17, Issue 2; ISSN 0022-4715
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

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Cited By (1)

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Figures / Tables (2)