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Volume 8, June

Entropy, Volume 8, Issue 1 (March 2006) – 4 articles , Pages 1-43

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Article
Deformed Density Matrix and Quantum Entropy of the Black Hole
Entropy 2006, 8(1), 31-43; https://doi.org/10.3390/e8010031 - 15 Mar 2006
Cited by 13 | Viewed by 4792
Abstract
In the present work the approach - density matrix deformation - earlier developed by the author to study a quantum theory of the Early Universe (Planck's scales) is applied to study a quantum theory of black holes. On this basis the author investigates [...] Read more.
In the present work the approach - density matrix deformation - earlier developed by the author to study a quantum theory of the Early Universe (Planck's scales) is applied to study a quantum theory of black holes. On this basis the author investigates the information paradox problem, entropy of the black hole remainders after evaporation, and consistency with the holographic principle. The possibility for application of the proposed approach to the calculation of quantum entropy of a black hole is considered. Full article
Article
Unsteady Volumetric Entropy Generation Rate in Laminar Boundary Layers
Entropy 2006, 8(1), 25-30; https://doi.org/10.3390/e8010025 - 06 Feb 2006
Cited by 9 | Viewed by 4009
Abstract
The prediction of the entropy generation rate in laminar shear layers is treated as steady, even in the presence of high levels of free stream turbulence. Here we highlight the deficiencies of this approach by quantifying the magnitude of entropy generation rate fluctuations [...] Read more.
The prediction of the entropy generation rate in laminar shear layers is treated as steady, even in the presence of high levels of free stream turbulence. Here we highlight the deficiencies of this approach by quantifying the magnitude of entropy generation rate fluctuations in the laminar boundary layer subjected to free stream turbulence. We find fluctuation levels in excess of 100% in the near wall region, thereby indicating the need to account for the unsteadiness in laminar boundary layers subjected to free stream turbulence. Full article
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Article
Second Law Analysis in Convective Heat and Mass Transfer
Entropy 2006, 8(1), 1-17; https://doi.org/10.3390/e8010001 - 02 Feb 2006
Cited by 64 | Viewed by 7594
Abstract
This paper reports the numerical determination of the entropy generation due to heat transfer, mass transfer and fluid friction in steady state for laminar double diffusive convection, in an inclined enclosure with heat and mass diffusive walls, by solving numerically the mass, momentum, [...] Read more.
This paper reports the numerical determination of the entropy generation due to heat transfer, mass transfer and fluid friction in steady state for laminar double diffusive convection, in an inclined enclosure with heat and mass diffusive walls, by solving numerically the mass, momentum, species conservation and energy balance equations, using a Control Volume Finite-Element Method. The influences of the inclination angle, the thermal Grashof number and the buoyancy ratio on total entropy generation were investigated. The irreversibilities localization due to heat transfer, mass transfer and fluid friction is discussed for three inclination angles at a fixed thermal Grashof number. Full article
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Article
Utility Function from Maximum Entropy Principle
Entropy 2006, 8(1), 18-24; https://doi.org/10.3390/e8010018 - 31 Jan 2006
Cited by 11 | Viewed by 6446
Abstract
Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function. Here we begin with the price density that is derived [...] Read more.
Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function. Here we begin with the price density that is derived by applying the maximum entropy principle to a conservative economic system (exchange market), then reverse the Buhlmann calculation to find the utility function and the risk aversion of agents with respect to this density. Full article
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