caa a22 4500 467892598 CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s10955-005-8069-8 doi (NATIONALLICENCE)springer-10.1007/s10955-005-8069-8 Téllez Gabriel Departamento de Física, Universidad de Los Andes, A.A. 4976, Bogotá, Colombia aut Guest Charges in an Electrolyte: Renormalized Charge, Long- and Short-Distance Behavior of the Electric Potential and Density Profiles [Elektronische Daten] [Gabriel Téllez] We complement a recent exact study by L. Šamaj on the properties of a guest charge Q immersed in a two-dimensional electrolyte with charges +1/−1. In particular, we are interested in the behavior of the density profiles and electric potential created by the charge and the electrolyte, and in the determination of the renormalized charge which is obtained from the long-distance asymptotics of the electric potential. In Šamaj's previous work, exact results for arbitrary coulombic coupling β were obtained for a system where all the charges are points, provided β Q < 2 and β < 2. Here, we first focus on the mean field situation which we believe describes correctly the limit β→ 0 but β Q large. In this limit we can study the case when the guest charge is a hard disk and its charge is above the collapse value β Q > 2. We compare our results for the renormalized charge with the exact predictions and we test on a solid ground some conjectures of the previous study. Our study shows that the exact formulas obtained by Šamaj for the renormalized charge are not valid for β Q > 2, contrary to a hypothesis put forward by Šamaj. We also determine the short-distance asymptotics of the density profiles of the coions and counterions near the guest charge, for arbitrary coulombic coupling. We show that the coion density profile exhibit a change of behavior if the guest charge becomes large enough (β Q≥ 2−β). This is interpreted as a first step of the counterion condensation (for large coulombic coupling), the second step taking place at the usual Manning-Oosawa threshold β Q = 2. Springer Science + Business Media, Inc., 2005 Coulomb systems nationallicence Cylindrical polyelectrolytes nationallicence Renormalized charge nationallicence Counterion condensation nationallicence Sine-Gordon model nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 787-798 0022-4715 122:4<787 2006 122 10955 https://doi.org/10.1007/s10955-005-8069-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8069-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Téllez Gabriel Departamento de Física, Universidad de Los Andes, A.A. 4976, Bogotá, Colombia aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 787-798 0022-4715 122:4<787 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer