Hydrodynamic fluctuations in a chemically reacting fluid

摘要

It is shown that the calculation of the nonlocal in time second moments of hydrodynamic fluctuations in a chemically reacting fluid can be done within the framework of extended irreversible thermodynamics. The results obtained imply that a nonhyphen;Gaussian noise is associated with the fluctuations of the rate of the reaction and of the diffusive flux. The classical results from linear fluctuating hydrodynamics are recovered as a special case of the general results. For the thermostatic second moment in the fluctuations of the internal energy new terms arise whenever fast variables intervene for their description.