A test of the onsager reciprocal relations and a discussion of the ionic isothermal vector transport coefficientsI Ij for aqueous AgNO3 at 25�C

1972 ◽  
Vol 1 (2) ◽  
pp. 111-130 ◽  
Author(s):  
Donald G. Miller ◽  
Michael J. Pikal
Keyword(s):  
Reciprocal Relations ◽  
Vector Transport ◽  
Onsager Reciprocal Relations

The Coupling Effect of Driving Forces to the Anti-Gravity Flow in the Spiral Micro-Channel

2011 ◽  
Author(s):  
Yan Li ◽  
Shuchao Zhang ◽  
Ning Mei
Keyword(s):  
Driving Force ◽  
Driving Forces ◽  
Coupling Effect ◽  
Three Dimensional ◽  
Horizontal Tube ◽  
Gravity Flow ◽  
Micro Channel ◽  
Reciprocal Relations ◽  
Coupling Relationship ◽  
Onsager Reciprocal Relations

In this paper, the anti-gravity flow in the spiral micro-channel on the surface of horizontal tube was visualized by the three-dimensional ultra-microscope system. The coupling relationship between the driving force and the flow was studied by Onsager reciprocal relations. The results show that the formation of the anti-gravity flow in the spiral micro-channel on the surface of horizontal tube is impacted by the combining effect of several factors, such as the capillary pressure, wettability, temperature, and bubbles.

Zur phänomenologischen Begründung erweiterter Casimir-Onsagerscher Reziprozitätsbeziehungen

1968 ◽  
Vol 23 (10) ◽  
pp. 1446-1451 ◽  
Author(s):  
W. Muschik
Keyword(s):  
Time Reversal ◽  
State Variables ◽  
Balance Equations ◽  
Reciprocal Relations ◽  
First Time ◽  
Onsager Reciprocal Relations

Attempts are made to give phenomenological reasons for nonlinear Casimir-Onsager reciprocal relations. The fluxes can be defined as time derivations of state variables, or they can be explained by means of balance equations, because only their vectorial properties are used. At first, time reversal is replaced by an abstract parameter reversal from which involutoric transformations of forces and fluxes result. The connection between the parameter reversal of forces and fluxes allows to give reasons for relations which are equal to the Casimir-Onsager reciprocal relations apart from a sign. This sign is determined by experience. The connection between parameter and time reversal is discussed.

On Transport Coefficients of Ferroelectrics and Onsager Reciprocal Relations

2011 ◽  
Vol 423 (1) ◽  
pp. 54-62 ◽  
Author(s):  
Shu-Tao Ai ◽  
Shao-Yin Zhang ◽  
Jia-Sheng Jiang ◽  
Chuan-Cong Wang
Keyword(s):  
Transport Coefficients ◽  
Reciprocal Relations ◽  
Onsager Reciprocal Relations

Deviations From the Linear Transport Laws and Corrections to the Onsager Reciprocal Relations

1976 ◽  
Vol 43 (3) ◽  
pp. 409-413 ◽  
Author(s):  
W. A. Scheffler ◽  
J. S. Dahler ◽  
W. E. Ibele
Keyword(s):  
Order Approximation ◽  
Transition Probability ◽  
Transport Coefficients ◽  
Functional Integral ◽  
Reciprocal Relations ◽  
First Order ◽  
Linear Transport ◽  
First Order Approximation ◽  
Onsager Reciprocal Relations ◽  
Transport Laws

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.

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