Condensation of Rodlike Counterions on a Charged Cylinder

2020 ◽  
Vol 77 (9) ◽  
pp. 811-818
Author(s):  
Minryeong Cha ◽  
Sunghan Ro ◽  
Yong Woon Kim
Keyword(s):  

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Minryeong Cha ◽  
Juyeon Yi ◽  
Yong Woon Kim






2000 ◽  
Vol 223 (1) ◽  
pp. 1-15 ◽  
Author(s):  
P. Warszyński ◽  
T.G.M. van de Ven
Keyword(s):  


1993 ◽  
Vol 07 (07) ◽  
pp. 483-490 ◽  
Author(s):  
F. W. WIEGEL ◽  
P. STRATING ◽  
A. E. GARCÍA

In this paper we evaluate the distribution of ions around a charged cylinder, in thermal equilibrium, taking into account the main effects of the excluded volume of the counterions. The cylinder is a model of a DNA molecule. There are major corrections to the standard Gouy-Chapman theory when the electrostatic energy due to the charge of the cylinder is large as compared to the thermal energy. The concentration shows a distinct saturation effect over a finite region, which may be interpreted as the Stern layer of immobilized ions. The known saturation of the electrostatic potential at the surface of the cylinder is removed.



2004 ◽  
Vol 120 (19) ◽  
pp. 9394-9400 ◽  
Author(s):  
Andrey G. Cherstvy ◽  
Roland G. Winkler




1967 ◽  
Author(s):  
John Lam
Keyword(s):  


2013 ◽  
Vol 2013 (10) ◽  
pp. 056-056 ◽  
Author(s):  
M Sharif ◽  
M. Zaeem Ul Haq Bhatti
Keyword(s):  


2007 ◽  
Vol 22 (23) ◽  
pp. 4214-4234 ◽  
Author(s):  
M. FERRARIO ◽  
V. FUSCO ◽  
M. MIGLIORATI ◽  
L. PALUMBO

Wake fields effects in addition to space charge forces may have an important impact during the emittance compensation process in a high brightness photo-injector. To study this effect we developed an upgraded version of the Homdyn code including off axis beam dynamics and wake fields. Homdyn describes a bunch as a uniformly charged cylinder, divided in cylindrical slices; in the upgraded version each slice's centroid can be transversally displaced from the nominal axis thus inducing wake fields. When the bunch is short as compared to the beam pipe radius, wake fields for a single cavity are calculated using methods of diffraction theory; instead we use, for a periodic collection of cavities, an asymptotic wake field obtained numerically at SLAC and then fitted to a simple function. As a first application we studied and verified a correction scheme for the SPARC photo-injector to control the bunch trajectory and angle at the entrance of the undulator. The correction scheme consists of a number of steering magnets and beam position monitors placed along the photo-injector. Two different steering approaches are analyzed and the emittance degradation is studied. The code demonstrates the steering positions and number do correct the bunch's orbit and angle and gives good results concerning the emittance degradation. The emittance and energy spread degradation due to wake fields in the emittance meter experiment is also discussed.



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