Adsorption and Depletion of Polyelectrolytes in Charged Cylindrical System within Self-Consistent Field Theory Export

@article{citeulike:3511396, abstract = {Abstract: Self-consistent field theory (SCFT) is presented to study the adsorption of flexible polyelectrolytes (PE) onto uniformly oppositely charged cylinders. We focus on the curvature effect of adsorbing surface on the adsorptiondepletion phase-transition-like behavior. Numerical solutions for SCFT functions are derived. In terms of the scaling expression (Csalt* \~{} p±\`{o}) of the critical quantities, i.e., the salt concentration Csalt*, the charge fraction p of PE chain and the area density of surface charge \~{A}, at the adsorptiondepletion transition point, we divide the whole curvature dimension into two regimes, i.e., the planar regime and the cylindrical regime. In particular, we have numerically determined the crossover point of the two regimes at which the cylinder radius r0 approximately equates to 2 times the gyration radius Rg of PE chain, or, r0 \~{} 2Rg. In the planar regime (r0 > 2Rg), the scaling expression is invariable with surface curvature and is reduced to the planar case, or Csalt* \~{} (p\~{A})2/3. In the cylindrical regime (r0 < 2Rg), the exponents in the scaling expression increase as r0 decreases and lead to Csalt* \~{} p0.78\~{A}0.86 for a large surface curvature r0 = 0.1Rg. Moreover, we find a critical line for the dependence of the critical radius of cylinder on the salt concentration, which separates the adsorption and depletion states. The theoretical results are in good agreement with the Monte Carlo simulations and the experimental results.}, address = {Beijing National Laboratory Molecular Sciences (BNLMS), Joint Laboratory of Polymer Science and Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100080, China, and Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada}, author = {Man, Xingkun and Yang, Shuang and Yan, Dadong and Shi, An-Chang}, citeulike-article-id = {3511396}, citeulike-linkout-0 = {http://dx.doi.org/10.1021/ma8003482}, citeulike-linkout-1 = {http://pubs.acs.org/doi/abs/10.1021/ma8003482}, day = {22}, doi = {10.1021/ma8003482}, journal = {Macromolecules}, keywords = {2008a, adsorption, jspp\_cae, polyelectrolyte, scf}, month = {July}, number = {14}, pages = {5451--5456}, posted-at = {2008-11-14 06:04:29}, priority = {2}, title = {Adsorption and Depletion of Polyelectrolytes in Charged Cylindrical System within Self-Consistent Field Theory}, url = {http://dx.doi.org/10.1021/ma8003482}, volume = {41}, year = {2008} }

TY - JOUR ID - citeulike:3511396 L3 - citeulike-article-id:3511396 N2 - Abstract: Self-consistent field theory (SCFT) is presented to study the adsorption of flexible polyelectrolytes (PE) onto uniformly oppositely charged cylinders. We focus on the curvature effect of adsorbing surface on the adsorptiondepletion phase-transition-like behavior. Numerical solutions for SCFT functions are derived. In terms of the scaling expression (Csalt* ~ p±ò) of the critical quantities, i.e., the salt concentration Csalt*, the charge fraction p of PE chain and the area density of surface charge Ã, at the adsorptiondepletion transition point, we divide the whole curvature dimension into two regimes, i.e., the planar regime and the cylindrical regime. In particular, we have numerically determined the crossover point of the two regimes at which the cylinder radius r0 approximately equates to 2 times the gyration radius Rg of PE chain, or, r0 ~ 2Rg. In the planar regime (r0 > 2Rg), the scaling expression is invariable with surface curvature and is reduced to the planar case, or Csalt* ~ (pÃ)2/3. In the cylindrical regime (r0 < 2Rg), the exponents in the scaling expression increase as r0 decreases and lead to Csalt* ~ p0.78Ã0.86 for a large surface curvature r0 = 0.1Rg. Moreover, we find a critical line for the dependence of the critical radius of cylinder on the salt concentration, which separates the adsorption and depletion states. The theoretical results are in good agreement with the Monte Carlo simulations and the experimental results. IS - 14 JF - Macromolecules AD - Beijing National Laboratory Molecular Sciences (BNLMS), Joint Laboratory of Polymer Science and Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100080, China, and Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada EP - 5456 TI - Adsorption and Depletion of Polyelectrolytes in Charged Cylindrical System within Self-Consistent Field Theory VL - 41 SP - 5451 KW - 2008a KW - adsorption KW - jspp_cae KW - polyelectrolyte KW - scf AU - Man, Xingkun AU - Yang, Shuang AU - Yan, Dadong AU - Shi, An-Chang PY - 2008/07/22/ UR - http://dx.doi.org/10.1021/ma8003482 ER -