RENORMALON CANCELLATION AND PERTURBATIVE QCD POTENTIAL AS A COULOMB+LINEAR POTENTIAL

A novel ion-selective electrode with membranes based on iron(III) phosphate and silver sulfide integrated into a completely new electrode body design has been developed for the determination of iron(III) cations. The best response characteristics with linear potential change were found in the iron(III) concentration range from 3.97× 10−5 to 10−2 mol L−1. The detection limit was found to be 2.41× 10−5 mol L−1 with a slope of –20.53 ± 0.63 and regression coefficient of 0.9925, while the quantification limit was 3.97× 10−5 M. The potential change per concentration decade ranged from –13.59 ± 0.54 to –20.53 ± 1.56 for Electrode Body 1 (EB1) and from –17.28 ± 1.04 to –24 ± 1.87 for Electrode Body 2 (EB2), which is presented for the first time in this work. The prepared electrode has a long lifetime and the ability to detect changes in the concentration of iron cations within 20 s. Membrane M1 showed high recoveries in the determination of iron cations in iron(III) standard solutions (98.2–101.2%) as well as in two different pharmaceuticals (98.6–106.5%). This proves that this type of sensor is applicable in the determination of ferric cations in unknown samples, and the fact that all sensor parts are completely manufactured in our laboratory proves the simplicity of the method.

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The non-perturbative QCD Debye mass from a Wilson line operator

Physics Letters B ◽

10.1016/s0370-2693(99)00641-3 ◽

1999 ◽

Vol 459 (1-3) ◽

pp. 259-264 ◽

Cited By ~ 41

Author(s):

M. Laine ◽

O. Philipsen

Keyword(s):

Perturbative Qcd ◽

Wilson Line ◽

Debye Mass ◽

Line Operator

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Small-x physics in perturbative QCD

Physics Reports ◽

10.1016/s0370-1573(96)00045-2 ◽

1997 ◽

Vol 286 (3) ◽

pp. 131-198 ◽

Cited By ~ 269

Author(s):

L.N. Lipatov

Keyword(s):

Perturbative Qcd ◽

Small X

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Adapting a Linear Potential Theory Solver for the Outer Hull to Account for Fluid Dynamics in Tanks

Volume 9: Odd M. Faltinsen Honoring Symposium on Marine Hydrodynamics ◽

10.1115/omae2013-10284 ◽

2013 ◽

Cited By ~ 1

Author(s):

Arild Ludvigsen ◽

Zhi Yuan Pan ◽

Peng Gou ◽

Torgeir Vada

Keyword(s):

Fluid Dynamics ◽

Boundary Value ◽

Fem Analysis ◽

Computer Code ◽

Added Mass ◽

Geometrical Shape ◽

Linear Potential ◽

Local Pressure ◽

Local Loads ◽

Outer Solution

The linear boundary value problem for the wave dynamics inside a tank is very similar to the solution for the outer hull. Because of this, the boundary value solver for the outer hull can be re-used for the tank. The oscillating hydrostatic pressure in the tank may also be calculated in the same way as for the outer hull. Thereby, the hydrostatic coefficients from the tank can also be obtained from the outer solution. This makes it, in principle, easy to adapt outer solution computer code to also account for the inner solutions for all the tanks. The procedure is discussed by Newman (2005). We have used it in a different way, isolating the tank solution into more flexible independent sub-runs. This approach provides part-results for the tanks, like added mass and restoring from the tanks. It also has numerical benefits, with the possibility to reuse the calculations for tanks of equal geometrical shape. We have also extended the procedure to account for full tanks without waves and restoring effects. The linear tank fluid dynamics is programmed into a quite general hydrodynamic frequency domain solver, with the possibility of automatic transferring of local loads to structural (FEM) analysis. Results for local loads are presented. A simpler method of quasi-static loading in tanks is discussed, with comparison to the present method. Effects on global motions and local pressure coming from the tank dynamics contributions are pointed out, such as the shifted resonance of the vessel and the added mass which differs from rigid masses of the tanks.

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