skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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 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.

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 Volume: 17; Journal Issue: 2; 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. https://www.osti.gov/servlets/purl/1529002.
@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 = 2,
volume = 17,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share:

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
  • DOI: 10.1109/34.56189

Propagation of a Huygens Front Through Turbulent Medium
journal, March 1998


Propagation rate of growing interfaces in stirred fluids
journal, February 1992


Front Propagation Rates in Randomly Stirred Media
journal, May 1995


TYPE Ia SUPERNOVAE: CALCULATIONS OF TURBULENT FLAMES USING THE LINEAR EDDY MODEL
journal, September 2009


harmonic
journal, October 2001

  • Giacomin, Giambattista; Deuschel, Jean-Dominique; Bolthausen, Erwin
  • The Annals of Probability, Vol. 29, Issue 4
  • DOI: 10.1214/aop/1015345767

One-Dimensional 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 1-4
  • DOI: 10.1080/00102209308907602

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
  • DOI: 10.1063/1.857911

Propagation Velocity of Premixed Turbulent Flames
journal, July 1988


Fine Structure of Scalar Fields Mixed by Turbulence. I. Zero-Gradient Points and Minimal Gradient Surfaces
journal, January 1968


Front propagation into unstable states
journal, November 2003


Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
journal, May 1975


Scaling of Huygens-front speedup in weakly random media
journal, December 2007


Level Surfaces of Gaussian Random Fields and Microemulsions
journal, March 1991


Lagrangian path integrals and fluctuations in random flow
journal, April 1994


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
  • DOI: 10.1103/PhysRevA.37.2728

Fronts in randomly advected and heterogeneous media and nonuniversality of Burgers turbulence: Theory and numerics
journal, November 2008


Stochastic Problems in Physics and Astronomy
journal, January 1943


On symmetries and averaging of the G -equation for premixed combustion
journal, September 2001


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
  • DOI: 10.1007/s10955-012-0623-6

Statistics of a passive scalar advected by a large-scale two-dimensional velocity field: Analytic solution
journal, June 1995


Self-similarly developing, premixed, turbulent flames: A theoretical study
journal, June 2005

  • Lipatnikov, A. N.; Chomiak, J.
  • Physics of Fluids, Vol. 17, Issue 6
  • DOI: 10.1063/1.1921250

Decay of Turbulence at High Reynolds Numbers
journal, January 2015


Spatial Intermittency of Surface Layer Wind Fluctuations at Mesoscale Range
journal, December 2010