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Title: Fluctuating hydrodynamics of multispecies nonreactive mixtures

Abstract

In this study we discuss the formulation of the fluctuating Navier-Stokes equations for multispecies, nonreactive fluids. In particular, we establish a form suitable for numerical solution of the resulting stochastic partial differential equations. An accurate and efficient numerical scheme, based on our previous methods for single species and binary mixtures, is presented and tested at equilibrium as well as for a variety of nonequilibrium problems. These include the study of giant nonequilibrium concentration fluctuations in a ternary mixture in the presence of a diffusion barrier, the triggering of a Rayleigh-Taylor instability by diffusion in a four-species mixture, as well as reverse diffusion in a ternary mixture. Finally, good agreement with theory and experiment demonstrates that the formulation is robust and can serve as a useful tool in the study of thermal fluctuations for multispecies fluids.

Authors:
 [1];  [2];  [3];  [1]
+ Show Author Affiliations
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Computational Research Division
  2. San Jose State Univ., CA (United States). Dept. of Physics and Astronomy
  3. New York Univ. (NYU), NY (United States). Courant Inst. of Mathematical Sciences
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
OSTI Identifier:
1407226
Grant/Contract Number:  
AC02-05CH11231; SC0008271; DMS-1115341
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Additional Journal Information:
Journal Volume: 89; Journal Issue: 1; Journal ID: ISSN 1539-3755
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; fluctuating hydrodynamics; fluctuating Navier-Stokes equations; multi-species; thermal fluctuations

Citation Formats

Balakrishnan, Kaushik, Garcia, Alejandro L., Donev, Aleksandar, and Bell, John B. Fluctuating hydrodynamics of multispecies nonreactive mixtures. United States: N. p., 2014. Web. doi:10.1103/PhysRevE.89.013017.
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Balakrishnan, Kaushik, Garcia, Alejandro L., Donev, Aleksandar, & Bell, John B. Fluctuating hydrodynamics of multispecies nonreactive mixtures. United States. https://doi.org/10.1103/PhysRevE.89.013017
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Balakrishnan, Kaushik, Garcia, Alejandro L., Donev, Aleksandar, and Bell, John B. Wed . "Fluctuating hydrodynamics of multispecies nonreactive mixtures". United States. https://doi.org/10.1103/PhysRevE.89.013017. https://www.osti.gov/servlets/purl/1407226.
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@article{osti_1407226,
title = {Fluctuating hydrodynamics of multispecies nonreactive mixtures},
author = {Balakrishnan, Kaushik and Garcia, Alejandro L. and Donev, Aleksandar and Bell, John B.},
abstractNote = {In this study we discuss the formulation of the fluctuating Navier-Stokes equations for multispecies, nonreactive fluids. In particular, we establish a form suitable for numerical solution of the resulting stochastic partial differential equations. An accurate and efficient numerical scheme, based on our previous methods for single species and binary mixtures, is presented and tested at equilibrium as well as for a variety of nonequilibrium problems. These include the study of giant nonequilibrium concentration fluctuations in a ternary mixture in the presence of a diffusion barrier, the triggering of a Rayleigh-Taylor instability by diffusion in a four-species mixture, as well as reverse diffusion in a ternary mixture. Finally, good agreement with theory and experiment demonstrates that the formulation is robust and can serve as a useful tool in the study of thermal fluctuations for multispecies fluids.},
doi = {10.1103/PhysRevE.89.013017},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 1,
volume = 89,
place = {United States},
year = {Wed Jan 22 00:00:00 EST 2014},
month = {Wed Jan 22 00:00:00 EST 2014}
}
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Journal Article:
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https://doi.org/10.1103/PhysRevE.89.013017
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    Works referencing / citing this record:

    Low Mach number fluctuating hydrodynamics of multispecies liquid mixtures
    journal, March 2015

    • Donev, Aleksandar; Nonaka, Andy; Bhattacharjee, Amit Kumar
    • Physics of Fluids, Vol. 27, Issue 3
    • DOI: 10.1063/1.4913571

    Modeling nanoscale hydrodynamics by smoothed dissipative particle dynamics
    journal, May 2015

    • Lei, Huan; Mundy, Christopher J.; Schenter, Gregory K.
    • The Journal of Chemical Physics, Vol. 142, Issue 19
    • DOI: 10.1063/1.4921222

    Fluctuating hydrodynamics of multi-species reactive mixtures
    journal, June 2015

    • Bhattacharjee, Amit Kumar; Balakrishnan, Kaushik; Garcia, Alejandro L.
    • The Journal of Chemical Physics, Vol. 142, Issue 22
    • DOI: 10.1063/1.4922308

    Stochastic simulation of reaction-diffusion systems: A fluctuating-hydrodynamics approach
    journal, March 2017

    • Kim, Changho; Nonaka, Andy; Bell, John B.
    • The Journal of Chemical Physics, Vol. 146, Issue 12
    • DOI: 10.1063/1.4978775

    Fluctuating hydrodynamics of reactive liquid mixtures
    journal, August 2018

    • Kim, Changho; Nonaka, Andy; Bell, John B.
    • The Journal of Chemical Physics, Vol. 149, Issue 8
    • DOI: 10.1063/1.5043428

    On the suppression and distortion of non-equilibrium fluctuations by transpiration
    journal, May 2019

    • Ladiges, Daniel R.; Nonaka, Andrew J.; Bell, John B.
    • Physics of Fluids, Vol. 31, Issue 5
    • DOI: 10.1063/1.5093922

    Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions
    journal, September 2015

    • Ortiz de Zárate, J. M.; Kirkpatrick, T. R.; Sengers, J. V.
    • The European Physical Journal E, Vol. 38, Issue 9
    • DOI: 10.1140/epje/i2015-15099-x

    Low Mach Number Fluctuating Hydrodynamics of Multispecies Liquid Mixtures
    text, January 2014

    Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions
    text, January 2015

    On the Suppression and Distortion of Non-Equilibrium Fluctuations by Transpiration
    text, January 2019

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