Onsager-Manning-Oosawa condensation phenomenon and the effect of salt

Details Onsager-Manning-Oosawa condensation phenomenon and the effect of salt Onsager-Manning-Oosawa condensation phenomenon and the effect of salt

2005-12-07

arxiv.org/abs/cond-mat/0512161v1

Physical Review Letters 96, 038302 (2006)

Physics

Condensed Matter

Soft Condensed Matter

to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.96.038302

Making use of results pertaining to Painleve III type equations, we revisit the celebrated Onsager-Manning-Oosawa condensation phenomenon for charged stiff linear polymers, in the mean-field approximation with salt. We obtain analytically the associated critical line charge density, and show that it is severely affected by finite salt effects, whereas previous results focused on the no salt limit. In addition, we obtain explicit expressions for the condensate thickness and the electric potential. The case of asymmetric electrolytes is also briefly addressed.

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