Reciprocal Relations among Transport Coefficients

1965 ◽  
Vol 69 (7) ◽  
pp. 2479-2480 ◽  
Author(s):  
Fred M. Snell
2011 ◽  
Vol 423 (1) ◽  
pp. 54-62 ◽  
Author(s):  
Shu-Tao Ai ◽  
Shao-Yin Zhang ◽  
Jia-Sheng Jiang ◽  
Chuan-Cong Wang

1976 ◽  
Vol 43 (3) ◽  
pp. 409-413 ◽  
Author(s):  
W. A. Scheffler ◽  
J. S. Dahler ◽  
W. E. Ibele

An extension of the linear transport laws is derived from first principles of statistical mechanics. The resulting transport laws include both relaxation and nonlinear terms. It is found when these terms are included the Onsager reciprocal relations are no longer valid. Therefore, the development gives the limit of validity of the Onsager relations, as well as expressing the transport coefficients as correlation functions of the dynamical variables. In order to show the validity of the procedure used, a functional integral is derived as a first-order approximation for the transition probability. This integral when evaluated verifies the assumption of Onsager and Machlup for the transition probability for the linear transport laws.


1974 ◽  
Author(s):  
D. Bolmont ◽  
J. Salmon ◽  
M. Valton

Author(s):  
Cinzia Arruzza

In the first essay of his Commentary on Plato’s Republic—the only extant commentary from Greek antiquity on this dialogue—the Neoplatonic philosopher Proclus addresses a number of exegetical issues with the goal of establishing the correct method of interpreting the Republic. According to Proclus, the appropriate exegetical method requires the reader to take into account the reciprocal relations among an array of factors. The thesis, form, doctrines, and dramaturgic and narrative components of the dialogue all converge and contribute to the articulation of the dialogue’s ...


2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Li Xu ◽  
Qi Yang

Although the teacher-student relationship has been addressed in some studies, the cooperation or reciprocal relations between teachers and students have not been explored sufficiently. In this paper, a difference equation model is applied to express the relationship, stability analysis at the positive steady state of the discrete model is done to verify that the performance output is not empty, and hypothesis testing is conducted to show the validity of the model by means of sample data from a college. Then some reasonable suggestions are proposed to improve the performance output of teachers and students.


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