flux formula
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Author(s):  
Andrei Sergeev ◽  
Michael Reizer

We show that in the linear response approximation only entropy provides coupling between thermal and electric phenomena. The dissipationless quantum currents — magnetization, superconducting, persistent and topological edge currents — do not produce and transfer entropy and may be excluded from final formulas for thermomagnetic coefficients. The magnetization energy flux, [Formula: see text], in crossed electric and magnetic fields strongly modifies the Poynting vector in magnetic materials and metamaterials, but do not contribute to the heat current. Calculating entropy fluxes of fluctuating Cooper pairs in pure and disordered superconductors, we obtained the fluctuation Nernst coefficient proportional to [Formula: see text] ([Formula: see text] is the Fermi energy). We also introduce the thermomagnetic entropy per unit charge and derive the Nernst coefficient proportional to the difference of the thermoelectric and thermomagnetic entropies. This explains the Sondheimer cancellation and high sensitivity of thermomagnetic phenomena to correlations. In 2D superconductors, the transport entropy transferred by a vortex moving through the background formed by vortex–antivortex pairs is the configuration entropy of [Formula: see text], which strongly exceeds the intrinsic entropy of vortex core. Beyond the linear response, the nonentropic forces can lead to phenomena unexpected from thermodynamics, such as vortex attraction to the moving hot spot. Quantum currents do not transfer entropy and may be used as ideal connectors to quantum nanodetectors.


Author(s):  
Nilas Klitgaard ◽  
Renate Loll ◽  
Marcus Reitz ◽  
Reiko Toriumi
Keyword(s):  

2020 ◽  
Vol 34 (18) ◽  
pp. 2050160
Author(s):  
Matlab N. Mirzayev

Boron oxide nanopowder is widely used in the production of special glasses and nuclear technology. This paper reports on the optical properties and investigates the formation of new bonds on the structure of nanoboron oxide. In this work, high purity boron oxide samples were irradiated using a energy upto 1 MeV fast neutrons with fluences in the range of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and the neutron flux [Formula: see text] at the room-temperature. Optical properts were determined using Raman spectrum analysis and spectroscopy Fourier transform infrared (FTIR) spectroscopy. FTIR and Raman spectrum analysis were used to explain the chemical bonds and functional groups of nanoboron oxide samples before and after neutron irradiation. When the irradation fluence on [Formula: see text] was increased upto [Formula: see text] it resulted in the formation of a new functional groups [Formula: see text]. From the Raman analysis, the [Formula: see text] was observed to start amorphization after neutron irradiation.


Author(s):  
Zhanhong Wan ◽  
Luping Li ◽  
Zhigen Wu ◽  
Jiawang Chen ◽  
Xiuyang Lü

Purpose The behaviors of sea surface drag coefficient should be well understood for an accurate hurricane prediction. The speed of wind has been applied to characterize the spray production; however, this could result in inaccurate spray productions compared to the experimental or field data if the influence of wave state is not considered. This paper aims to integrate a new sea spray generation function, described by windsea Reynolds number, into the spray momentum flux formula to calculate the spray momentum. Design/methodology/approach On the basis of this spray momentum, this study proposes the new formulas of spray stress and drag coefficient when the wind speed is high. Findings Results of the revised formulas show that wave status had significant effects on the spray stress and sea surface drag coefficient. Also, wave age was found to be an important parameter that affects the drag coefficient. The drag coefficient decreased with the increasing wave age. Comparison between this study’s theoretical and observation values of drag coefficient shows that the study results are close to the measured values. Research limitations/implications The research findings can enhance the understanding of the behaviors of sea surface drag for an accurate hurricane prediction. Originality/value A new sea spray generation function, described by windsea Reynolds number, is integrated into the spray momentum flux formula to calculate the spray momentum. On the basis of this spray momentum, this study proposes the new formulas of spray stress and drag coefficient when the wind speed is high.


2018 ◽  
Vol 12 (10) ◽  
pp. 3229-3242 ◽  
Author(s):  
Ronja Reese ◽  
Ricarda Winkelmann ◽  
G. Hilmar Gudmundsson

Abstract. Currently, several large-scale ice-flow models impose a condition on ice flux across grounding lines using an analytically motivated parameterisation of grounding-line flux. It has been suggested that employing this analytical expression alleviates the need for highly resolved computational domains around grounding lines of marine ice sheets. While the analytical flux formula is expected to be accurate in an unbuttressed flow-line setting, its validity has hitherto not been assessed for complex and realistic geometries such as those of the Antarctic Ice Sheet. Here the accuracy of this analytical flux formula is tested against an optimised ice flow model that uses a highly resolved computational mesh around the Antarctic grounding lines. We find that when applied to the Antarctic Ice Sheet the analytical expression provides inaccurate estimates of ice fluxes for almost all grounding lines. Furthermore, in many instances direct application of the analytical formula gives rise to unphysical complex-valued ice fluxes. We conclude that grounding lines of the Antarctic Ice Sheet are, in general, too highly buttressed for the analytical parameterisation to be of practical value for the calculation of grounding-line fluxes.


2018 ◽  
Author(s):  
Ronja Reese ◽  
Ricarda Winkelmann ◽  
G. Hilmar Gudmundsson

Abstract. Currently, several large-scale ice-flow models impose a condition on ice-flux across grounding lines using an analytically motivated parameterization of grounding-line flux. It has been suggested that employing this analytical expression alleviates the need for highly resolved computational domains around grounding lines of marine ice sheets. While the analytical flux formula is expected to be accurate in an unbuttressed flow-line setting, its validity has hitherto not been assessed for complex and realistic geometries such as those of the Antarctic Ice Sheet. Here the accuracy of this analytical flux formula is tested against an optimized ice flow model that uses a highly-resolved computational mesh around the Antarctic grounding lines. We find that when applied to the Antarctic Ice Sheet the analytical expression provides inaccurate estimates of ice fluxes for almost all grounding lines. Furthermore, in many instances direct application of the analytical formula gives rise to unphysical complexed-valued ice fluxes. We conclude that grounding lines of the Antarctic Ice Sheet are, in general, too highly buttressed for the analytical parameterization to be of practical value for the calculation of grounding-line fluxes.


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