Fluctuating hydrodynamics based on extended thermodynamics


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.

DOI Code: 10.1285/i15900932v32n1p227

Keywords: Fluctuating hydrodynamics; Extended thermodynamics; Landau-Lifshitz theory; Hierarchy structure

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