caa a22 4500 467891613 CHVBK 20180406152750.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s10955-006-9122-y doi (NATIONALLICENCE)springer-10.1007/s10955-006-9122-y Šamaj L. Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11, Bratislava, Slovak Republic aut Renormalization of a Hard-Core Guest Charge Immersed in a Two-Dimensional Electrolyte [Elektronische Daten] [L. Šamaj] This paper is a continuation of a previous one [L. Šamaj, J. Stat. Phys. 120:125 (2005)] dealing with the renormalization of a guest charge immersed in a two-dimensional logarithmic Coulomb gas of pointlike ± unit charges, the latter system being in the stability-against-collapse regime of reduced inverse temperatures 0 ≤ β < 2. In the previous work, using a sine-Gordon representation of the Coulomb gas, an exact renormalized-charge formula was derived for the special case of the pointlike guest charge Q, in its stability regime β |Q| < 2. In the present paper, we extend the renormalized-charge treatment to the guest charge with a hard core of radius σ, which allows us to go beyond the stability border β|Q| = 2. In the limit of the hard-core radius much smaller than the correlation length of the Coulomb-gas species and at a strictly finite temperature, due to the counterion condensation in the extended region β|Q| > 2, the renormalized charge Q ren turns out to be a periodic function of the bare charge Q with period 1. The renormalized charge therefore does not saturate at a specific finite value as |Q| →∞, but oscillates between two extreme values. In the high-temperature Poisson-Boltzmann scaling regime of limits β→ 0 and Q→∞ with the product β Q being finite, one reproduces the Manning-Oosawa type of counterion condensation with the uniform saturation of β Q ren at the value 4/π in the region β|Q| ≥ 2. The obtained results disprove the "regularization hypothesis” of the previous work about the possibility of an analytic continuation of the formula for Q ren from the stability region β |Q| < 2 to β |Q| ≥ 2. Springer Science + Business Media, Inc., 2006 Coulomb systems nationallicence logarithmic interactions nationallicence Sine-Gordon model nationallicence renormalized charge nationallicence counterion condensation nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/5(2006-09-01), 1179-1206 0022-4715 124:5<1179 2006 124 10955 https://doi.org/10.1007/s10955-006-9122-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9122-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Šamaj L. Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11, Bratislava, Slovak Republic aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/5(2006-09-01), 1179-1206 0022-4715 124:5<1179 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer