Erratum: “Fluctuation theorem and Onsager reciprocity relations” [J. Chem. Phys. 121, 6167 (2004)]

2006 ◽  
Vol 125 (21) ◽  
pp. 219902 ◽  
Author(s):  
D. Andrieux ◽  
P. Gaspard
Keyword(s):  
Chem Phys ◽  
Fluctuation Theorem ◽  
Onsager Reciprocity ◽  
Reciprocity Relations

Fluctuation theorem and Onsager reciprocity relations

2004 ◽  
Vol 121 (13) ◽  
pp. 6167-6174 ◽  
Author(s):  
D. Andrieux ◽  
P. Gaspard
Keyword(s):  
Fluctuation Theorem ◽  
Onsager Reciprocity ◽  
Reciprocity Relations

scholarly journals Electro-Osmotic Behavior of Polymeric Cation-Exchange Membranes in Ethanol-Water Solutions

Entropy ◽  
2020 ◽  
Vol 22 (6) ◽  
pp. 692
Author(s):  
V. María Barragán ◽  
Juan P. G. Villaluenga ◽  
Víctor Morales-Villarejo ◽  
M. Amparo Izquierdo-Gil
Keyword(s):  
Cation Exchange ◽  
Streaming Potential ◽  
Membrane System ◽  
Electrolyte Solutions ◽  
Joule Effect ◽  
Potential Coefficient ◽  
Water Solutions ◽  
Onsager Reciprocity ◽  
Ethanol Content ◽  
Reciprocity Relations

The aim of this work is to apply linear non-equilibrium thermodynamics to study the electrokinetic properties of three cation-exchange membranes of different structures in ethanol-water electrolyte solutions. To this end, liquid uptake and electro-osmotic permeability were estimated with potassium chloride ethanol-water solutions with different ethanol proportions as solvent. Current–voltage curves were also measured for each membrane system to estimate the energy dissipation due to the Joule effect. Considering the Onsager reciprocity relations, the streaming potential coefficient was discussed in terms of ethanol content of the solutions and the membrane structure. The results showed that more porous heterogeneous membrane presented lower values of liquid uptake and streaming potential coefficient with increasing ethanol content. Denser homogeneous membrane showed higher values for both, solvent uptake and streaming coefficient for intermediate content of ethanol.

scholarly journals Three-Scale Multiphysics Modeling of Transport Phenomena within Cortical Bone

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
T. Lemaire ◽  
J. Kaiser ◽  
S. Naili ◽  
V. Sansalone
Keyword(s):  
Cortical Bone ◽  
Transport Phenomena ◽  
Outer Wall ◽  
Scale Model ◽  
Coupled Transport ◽  
Onsager Reciprocity ◽  
Coupled Equations ◽  
Reciprocity Relations ◽  
Fluid Compartments ◽  
Treated Site

Bone tissue can adapt its properties and geometry to its physical environment. This ability is a key point in the osteointegration of bone implants since it controls the tissue remodeling in the vicinity of the treated site. Since interstitial fluid and ionic transport taking place in the fluid compartments of bone plays a major role in the mechanotransduction of bone remodeling, this theoretical study presents a three-scale model of the multiphysical transport phenomena taking place within the vasculature porosity and the lacunocanalicular network of cortical bone. These two porosity levels exchange mass and ions through the permeable outer wall of the Haversian-Volkmann canals. Thus, coupled equations of electrochemohydraulic transport are derived from the nanoscale of the canaliculi toward the cortical tissue, considering the intermediate scale of the intraosteonal tissue. In particular, the Onsager reciprocity relations that govern the coupled transport are checked.

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