Fluctuating hydrodynamics based on extended thermodynamics

Abstract

We summarize the recent theory of fluctuating hydrodynamics based on extended thermodynamics, which is developed through the study of the 13-variable theory for a monatomic rarefied gas as a representative case. The relationship between the present theory and the Landau-Lifshitz theory is shown, and the hierarchy structure of the hydrodynamic fluctuations is discussed. The Landau-Lifshitz theory is included in the present theory as a limiting case.