Trizac Emmanuel, Téllez Gabriel
Theoretical Biological Physics, UCSD, La Jolla, California 92093, USA.
Phys Rev Lett. 2006 Jan 27;96(3):038302. doi: 10.1103/PhysRevLett.96.038302. Epub 2006 Jan 24.
Making use of results pertaining to Painlevé 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.
利用与Painlevé III型方程相关的结果，我们在存在盐的平均场近似下，重新审视了著名的带电刚性线性聚合物的昂萨格 - 曼宁 - 大泽凝聚现象。我们通过解析得到了相关的临界线电荷密度，并表明它受到有限盐效应的严重影响，而先前的结果集中在无盐极限情况。此外，我们还得到了凝聚层厚度和电势的显式表达式。我们也简要讨论了不对称电解质的情况。
