Skip to main content
Fluctuating hydrodynamics of multi-species reactive mixtures
Journal of Chemical Physics (2015)
  • Alejandro Garcia, San Jose State University
  • John B Bell, Lawrence Berkeley National Laboratory
  • Aleksandar Donev, New York University
  • Amit K. Bhattacharjee, New York University
  • Kaushik Balakrishnan, Jet Propulsion Laboratory
We formulate and study computationally the fluctuating compressible Navier-Stokes equations for reactive multi-species fluid mixtures. We contrast two different expressions for the covariance of the stochastic chemical production rate in the Langevin formulation of stochastic chemistry, and compare both of them to predictions of the chemical master equation for homogeneous well-mixed systems close to and far from thermodynamic equilibrium. We develop a numerical scheme for inhomogeneous reactive flows, based on our previous methods for non-reactive mixtures [Balakrishnan , Phys. Rev. E 89, 013017 (2014)]. We study the suppression of non-equilibrium long-ranged correlations of concentration fluctuations by chemical reactions, as well as the enhancement of pattern formation by spontaneous fluctuations. Good agreement with available theory demonstrates that the formulation is robust and a useful tool in the study of fluctuations in reactive multi-species fluids. At the same time, several problems with Langevin formulations of stochastic chemistry are identified, suggesting that future work should examine combining Langevin and master equation descriptions of hydrodynamic and chemical fluctuations
Publication Date
Publisher Statement
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

This article appeared in Journal of Chemical Physics 142 224107 (2015) and may be found at
Citation Information
Alejandro Garcia, John B Bell, Aleksandar Donev, Amit K. Bhattacharjee, et al.. "Fluctuating hydrodynamics of multi-species reactive mixtures" Journal of Chemical Physics Vol. 142 Iss. 22 (2015) ISSN: 0021-9606
Available at: