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

Mayo, Jackson R.; Kerstein, Alan R.

doi:10.1007/s10955-019-02306-3

Title: Log-Correlated Large-Deviation 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 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 u_T 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:

Mayo, Jackson R. ^[1];

^[2]

Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Danville, CA (United States)

Publication Date:: 2019-06-11

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.

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                    Mayo, Jackson R., & Kerstein, Alan R.. Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence.  United States.  https://doi.org/10.1007/s10955-019-02306-3

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                    Mayo, Jackson R., and Kerstein, Alan R.. Tue .  
"Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence".  United States.  https://doi.org/10.1007/s10955-019-02306-3.  https://www.osti.gov/servlets/purl/1529002.

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@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}

}

Copy to clipboard

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Works referencing / citing this record:

The speed of traveling waves in a FKPP-Burgers system
text, January 2020

Bramburger, Jason J.; Henderson, Christopher
arXiv
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Title: Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence

Abstract

Citation Formats

A multiresolution hierarchical approach to image segmentation based on intensity extrema journal, June 1990

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

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

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

harmonic journal, October 2001

Universal long-time properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem journal, October 1999

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Front propagation into unstable states journal, November 2003

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

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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

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

Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity journal, January 1959

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

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

Decay of Turbulence at High Reynolds Numbers journal, January 2015

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

Observation of void formation patterns in SnAg films undergoing electromigration and simulation using random walk methods journal, April 2021

Turbulent Combustion journal, July 2001

Turbulent Combustion journal, May 2001

Turbulent Combustion journal, October 2001

Counting function fluctuations and extreme value threshold in multifractal patterns: the case study of an ideal $1/f$ noise text, January 2012

Propagation of a Huygens front through turbulent medium text, January 1997

Scaling of Huygens-front speedup in weakly random media text, January 2007

The speed of traveling waves in a FKPP-Burgers system text, January 2020

A multiresolution hierarchical approach to image segmentation based on intensity extrema
journal, June 1990

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

Universal long-time properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem
journal, October 1999

One-Dimensional Propagation of a Premixed Turbulent Flame With a Balance Equation for the Flame Surface Density
journal, April 1993

Scaling properties of the viscous‐convective scalar spectral subrange in turbulent jets
journal, July 1991

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
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Field equation for interface propagation in an unsteady homogeneous flow field
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Fronts in randomly advected and heterogeneous media and nonuniversality of Burgers turbulence: Theory and numerics
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