LogCorrelated LargeDeviation Statistics Governing Huygens Fronts in Turbulence
Abstract
Analyses have disagreed on whether the velocity u_{T} 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 largedeviation statistics of logcorrelated random processes enables a definitive determination of the correct smallu_{0} asymptotics. This result reconciles several theoretical and phenomenological perspectives with the conclusion that u_{T} remains finite for vanishing u_{0}, which implies a propagation anomaly akin to the energydissipation anomaly in the limit of vanishing viscosity. Various leadingorder 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:

 Sandia National Lab. (SNLCA), Livermore, CA (United States)
 Danville, CA (United States)
 Publication Date:
 Research Org.:
 Sandia National Lab. (SNLCA), Livermore, CA (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1529002
 Report Number(s):
 SAND20195017J
Journal ID: ISSN 00224715; 675258
 Grant/Contract Number:
 AC0494AL85000
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Statistical Physics
 Additional Journal Information:
 Journal Volume: 17; Journal Issue: 2; Journal ID: ISSN 00224715
 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. LogCorrelated LargeDeviation Statistics Governing Huygens Fronts in Turbulence. United States: N. p., 2019.
Web. doi:10.1007/s10955019023063.
Mayo, Jackson R., & Kerstein, Alan R. LogCorrelated LargeDeviation Statistics Governing Huygens Fronts in Turbulence. United States. doi:10.1007/s10955019023063.
Mayo, Jackson R., and Kerstein, Alan R. Tue .
"LogCorrelated LargeDeviation Statistics Governing Huygens Fronts in Turbulence". United States. doi:10.1007/s10955019023063. https://www.osti.gov/servlets/purl/1529002.
@article{osti_1529002,
title = {LogCorrelated LargeDeviation 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 largedeviation statistics of logcorrelated random processes enables a definitive determination of the correct smallu0 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 energydissipation anomaly in the limit of vanishing viscosity. Various leadingorder 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/s10955019023063},
journal = {Journal of Statistical Physics},
number = 2,
volume = 17,
place = {United States},
year = {2019},
month = {6}
}
Works referenced in this record:
A multiresolution hierarchical approach to image segmentation based on intensity extrema
journal, June 1990
 Lifshitz, L. M.; Pizer, S. M.
 IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 12, Issue 6
Propagation of a Huygens Front Through Turbulent Medium
journal, March 1998
 Chertkov, M.; Yakhot, V.
 Physical Review Letters, Vol. 80, Issue 13
Propagation rate of growing interfaces in stirred fluids
journal, February 1992
 Kerstein, Alan R.; Ashurst, Wm. T.
 Physical Review Letters, Vol. 68, Issue 7
Front Propagation Rates in Randomly Stirred Media
journal, May 1995
 Ronney, P. D.; Haslam, B. D.; Rhys, N. O.
 Physical Review Letters, Vol. 74, Issue 19
TYPE Ia SUPERNOVAE: CALCULATIONS OF TURBULENT FLAMES USING THE LINEAR EDDY MODEL
journal, September 2009
 Woosley, S. E.; Kerstein, A. R.; Sankaran, V.
 The Astrophysical Journal, Vol. 704, Issue 1
harmonic
journal, October 2001
 Giacomin, Giambattista; Deuschel, JeanDominique; Bolthausen, Erwin
 The Annals of Probability, Vol. 29, Issue 4
Universal longtime properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem
journal, October 1999
 Balkovsky, E.; Fouxon, A.
 Physical Review E, Vol. 60, Issue 4
OneDimensional Propagation of a Premixed Turbulent Flame With a Balance Equation for the Flame Surface Density
journal, April 1993
 Fichot, Florian; Lacas, FranÇOis; Veynante, Denis
 Combustion Science and Technology, Vol. 90, Issue 14
Scaling properties of the viscous‐convective scalar spectral subrange in turbulent jets
journal, July 1991
 Kerstein, Alan R.
 Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 7
Propagation Velocity of Premixed Turbulent Flames
journal, July 1988
 Victor Yakhot,
 Combustion Science and Technology, Vol. 60, Issue 13
Fine Structure of Scalar Fields Mixed by Turbulence. I. ZeroGradient Points and Minimal Gradient Surfaces
journal, January 1968
 Gibson, Carl H.
 Physics of Fluids, Vol. 11, Issue 11
Front propagation into unstable states
journal, November 2003
 Vansaarloos, W.
 Physics Reports, Vol. 386, Issue 26
Application of brownian motion to the equation of kolmogorovpetrovskiipiskunov
journal, May 1975
 McKean, H. P.
 Communications on Pure and Applied Mathematics, Vol. 28, Issue 3
Scaling of Huygensfront speedup in weakly random media
journal, December 2007
 Mayo, Jackson R.; Kerstein, Alan R.
 Physics Letters A, Vol. 372, Issue 1
Level Surfaces of Gaussian Random Fields and Microemulsions
journal, March 1991
 Teubner, M.
 Europhysics Letters (EPL), Vol. 14, Issue 5
Lagrangian path integrals and fluctuations in random flow
journal, April 1994
 Shraiman, Boris I.; Siggia, Eric D.
 Physical Review E, Vol. 49, Issue 4
Field equation for interface propagation in an unsteady homogeneous flow field
journal, April 1988
 Kerstein, Alan R.; Ashurst, William T.; Williams, Forman A.
 Physical Review A, Vol. 37, Issue 7
Fronts in randomly advected and heterogeneous media and nonuniversality of Burgers turbulence: Theory and numerics
journal, November 2008
 Mayo, Jackson R.; Kerstein, Alan R.
 Physical Review E, Vol. 78, Issue 5
Stochastic Problems in Physics and Astronomy
journal, January 1943
 Chandrasekhar, S.
 Reviews of Modern Physics, Vol. 15, Issue 1
Smallscale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
journal, January 1959
 Batchelor, G. K.
 Journal of Fluid Mechanics, Vol. 5, Issue 01
On symmetries and averaging of the G equation for premixed combustion
journal, September 2001
 Oberlack, M.; Wenzel, H.; Peters, N.
 Combustion Theory and Modelling, Vol. 5, Issue 3
Counting Function Fluctuations and Extreme Value Threshold in Multifractal Patterns: The Case Study of an Ideal 1/f Noise
journal, November 2012
 Fyodorov, Yan V.; Le Doussal, Pierre; Rosso, Alberto
 Journal of Statistical Physics, Vol. 149, Issue 5
Statistics of a passive scalar advected by a largescale twodimensional velocity field: Analytic solution
journal, June 1995
 Chertkov, M.; Falkovich, G.; Kolokolov, I.
 Physical Review E, Vol. 51, Issue 6
Selfsimilarly developing, premixed, turbulent flames: A theoretical study
journal, June 2005
 Lipatnikov, A. N.; Chomiak, J.
 Physics of Fluids, Vol. 17, Issue 6
Decay of Turbulence at High Reynolds Numbers
journal, January 2015
 Sinhuber, Michael; Bodenschatz, Eberhard; Bewley, Gregory P.
 Physical Review Letters, Vol. 114, Issue 3
Spatial Intermittency of Surface Layer Wind Fluctuations at Mesoscale Range
journal, December 2010
 Baïle, Rachel; Muzy, JeanFrançois
 Physical Review Letters, Vol. 105, Issue 25