Generalized‐Regression‐of‐Fluctuations Theory as Applied to the Second Viscosity

Autor:	Philippe Deguent, Jean-Pierre Boon
Rok vydání:	1971
Předmět:	Thermal transport Attenuation Dispersion relation Autocorrelation Mathematical analysis General Physics and Astronomy Volume viscosity Physical and Theoretical Chemistry Convection–diffusion equation Regression Light scattering Mathematics
Zdroj:	The Journal of Chemical Physics. 54:4443-4450
ISSN:	1089-7690 0021-9606
DOI:	10.1063/1.1674695
Popis:	A generalized‐regression‐of‐fluctuations (GRF) theory is developed for the study of the second viscosity, by making use of a generalized transport equation describing the evolution of a dynamical variable in a dense fluid. This method constitutes a generalization of the Mandelstam–Leontovitch model. We obtain a formal expression for the frequency‐dependent second viscosity in terms of the kernel of the transport equation. We show that this result is equivalent to the expression obtained from the autocorrelation formalism approach to thermal transport coefficients. This equivalence is easily understood on the basis of the linear response theory; the above result is therefore not restricted to the case of the second viscosity, and constitutes a general exact result within the limits of validity of the theory of regression of fluctuations. We next derive a dispersion equation which is solved for temporal attenuation (light scattering) and for spatial attenuation (ultrasonics) to yield the first sound velocit...
Databáze:	OpenAIRE
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