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

Abstract

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 u 0. Here, a connection to the large-deviation statistics of log-correlated random processes enables a definitive determination of the correct small- u 0 asymptotics. This result reconciles several theoretical and phenomenological perspectives with the conclusion that uT remains finite for vanishing u 0, 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 u 0 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.

Authors:
 [1]; ORCiD logo [2]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  2. Danville, CA (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1529002
Report Number(s):
SAND-2019-5017J
Journal ID: ISSN 0022-4715; 675258
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Statistical Physics
Additional Journal Information:
Journal Name: Journal of Statistical Physics; Journal ID: ISSN 0022-4715
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Front propagation; Turbulence

Citation Formats

Mayo, Jackson R., and Kerstein, Alan R. Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence. United States: N. p., 2019. Web. doi:10.1007/s10955-019-02306-3.
Mayo, Jackson R., & Kerstein, Alan R. Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence. United States. doi:10.1007/s10955-019-02306-3.
Mayo, Jackson R., and Kerstein, Alan R. Tue . "Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence". United States. doi:10.1007/s10955-019-02306-3.
@article{osti_1529002,
title = {Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence},
author = {Mayo, Jackson R. and Kerstein, Alan R.},
abstractNote = {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.},
doi = {10.1007/s10955-019-02306-3},
journal = {Journal of Statistical Physics},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
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This content will become publicly available on June 11, 2020
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