Concentration dependence of transport coefficients in multicomponent mixtures

1969 ◽  
Vol 73 (1) ◽  
pp. 62-70 ◽  
Author(s):  
Hansjuergen Schoenert
Keyword(s):  
Concentration Dependence ◽  
Transport Coefficients ◽  
Multicomponent Mixtures

scholarly journals Nonlinear Heat Transport in Superlattices with Mobile Defects

Entropy ◽  
2019 ◽  
Vol 21 (12) ◽  
pp. 1200 ◽  
Author(s):  
David Jou ◽  
Liliana Restuccia
Keyword(s):  
Thermal Conductivity ◽  
Heat Flux ◽  
Heat Conduction ◽  
Thermal Resistance ◽  
Heat Transport ◽  
Concentration Dependence ◽  
Transport Coefficients ◽  
Nonlinear Behavior ◽  
Strongly Nonlinear

We consider heat conduction in a superlattice with mobile defects, which reduce the thermal conductivity of the material. If the defects may be dragged by the heat flux, and if they are stopped at the interfaces of the superlattice, it is seen that the effective thermal resistance of the layers will depend on the heat flux. Thus, the concentration dependence of the transport coefficients plus the mobility of the defects lead to a strongly nonlinear behavior of heat transport, which may be used in some cases as a basis for thermal transistors.

scholarly journals Thermodynamic Theory of Diffusion and Thermodiffusion Coefficients in Multicomponent Mixtures

2020 ◽  
Vol 45 (4) ◽  
pp. 343-372
Author(s):  
Alexander A. Shapiro
Keyword(s):  
Diffusion Coefficients ◽  
Symmetry Property ◽  
Transport Coefficients ◽  
Thermodynamic Theory ◽  
Statistical Fluctuation ◽  
Multicomponent Mixtures ◽  
Practical Applications ◽  
Chemical Potentials ◽  
Onsager Symmetry ◽  
Phenomenological Coefficients

AbstractTransport coefficients (like diffusion and thermodiffusion) are the key parameters to be studied in non-equilibrium thermodynamics. For practical applications, it is important to predict them based on the thermodynamic parameters of a mixture under study: pressure, temperature, composition, and thermodynamic functions, like enthalpies or chemical potentials. The current study develops a thermodynamic framework for such prediction. The theory is based on a system of physically interpretable postulates; in this respect, it is better grounded theoretically than the previously suggested models for diffusion and thermodiffusion coefficients. In fact, it translates onto the thermodynamic language of the previously developed model for the transport properties based on the statistical fluctuation theory. Many statements of the previously developed model are simplified and amplified, and the derivation is made transparent and ready for further applications. The n(n+1)/2 independent Onsager coefficients are reduced to 2n+1 determining parameters: the emission functions and the penetration lengths. The transport coefficients are expressed in terms of these parameters. These expressions are much simplified based on the Onsager symmetry property for the phenomenological coefficients. The model is verified by comparison with the known expressions for the diffusion coefficients that were previously considered in the literature.

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