The Bloch principle and L2(R) local equilibrium of the Carleman equation

2015 ◽  
Author(s):  
E. V. Radkevich
Keyword(s):  
Local Equilibrium ◽  
Carleman Equation

Local Equilibrium of the Carleman Equation

2015 ◽  
Vol 207 (2) ◽  
pp. 296-323 ◽  
Author(s):  
E. V. Radkevich ◽  
O. A. Vasil’eva ◽  
S. A. Dukhnovskii
Keyword(s):  
Local Equilibrium ◽  
Carleman Equation

Generation of Chaotic Dynamics and Local Equilibrium for the Carleman Equation

2017 ◽  
Vol 224 (5) ◽  
pp. 764-795 ◽  
Author(s):  
E. V. Radkevich ◽  
O. A. Vasil’eva
Keyword(s):  
Chaotic Dynamics ◽  
Local Equilibrium ◽  
Carleman Equation

scholarly journals Can Quantum Correlations Lead to Violation of the Second Law of Thermodynamics?

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 573
Author(s):  
Alexey V. Melkikh
Keyword(s):  
Quantum Entanglement ◽  
Local Equilibrium ◽  
Heat Engine ◽  
Thermodynamic Quantity ◽  
Second Law Of Thermodynamics ◽  
Quantum Correlations ◽  
Von Neumann Entropy ◽  
Second Law ◽  
Carnot Cycle ◽  
Technical Discussion

Quantum entanglement can cause the efficiency of a heat engine to be greater than the efficiency of the Carnot cycle. However, this does not mean a violation of the second law of thermodynamics, since there is no local equilibrium for pure quantum states, and, in the absence of local equilibrium, thermodynamics cannot be formulated correctly. Von Neumann entropy is not a thermodynamic quantity, although it can characterize the ordering of a system. In the case of the entanglement of the particles of the system with the environment, the concept of an isolated system should be refined. In any case, quantum correlations cannot lead to a violation of the second law of thermodynamics in any of its formulations. This article is devoted to a technical discussion of the expected results on the role of quantum entanglement in thermodynamics.

The sorption of caesium to glauconite sands obeys local equilibrium at environmentally relevant water flow rates

2021 ◽  
pp. 105073
Author(s):  
Y. Bruneel ◽  
L. Van Laer ◽  
S. Brassinnes ◽  
E. Smolders
Keyword(s):  
Water Flow ◽  
Local Equilibrium ◽  
Flow Rates

Geochemistry of diagenetic non-silicate minerals: kinetic considerations

1985 ◽  
Vol 315 (1531) ◽  
pp. 39-56 ◽  
Keyword(s):  
Organic Matter ◽  
Ferric Iron ◽  
Local Equilibrium ◽  
Reducing Agent ◽  
Chemical Environment ◽  
Iron Sulphide ◽  
Burial Diagenesis ◽  
Vertical Zonation ◽  
Silicate Minerals ◽  
Dissolution And Precipitation

The early stages of burial diagenesis involve the reactions of various oxidizing agents with organic matter, which is the only reducing agent buried with the sediment. In a system in which a local equilibrium is established, thermodynamic principles indicate that, inter alia , manganese, iron and sulphate should each be consumed successively to give rise to a clearly characterized vertical zonation. However, ferric iron may not react fast enough and the relative rates of reduction of Fe III and sulphate not only control the formation of iron sulphide and associated carbonate but also may lead to extreme chemical and isotopic dis-equilibrium. This produces kinetically controlled ‘micro -environments’. On a larger scale, sulphide will diffuse upward to a zone in which its oxidation leads to a reduction of pH. The various dramatic changes in chemical environment across such an interface cause both dissolution and precipitation reactions. These explain common geological observations: the occurrence of flint nodules (and their restriction to chalk hosts) and the association of phosphate with glauconite.

Sign in / Sign up

Export Citation Format

Share Document