Counterions at charged polymers [Elektronische Ressource] / vorgelegt von Ali Naji

Counterions at Charged PolymersAli NajiMunich, 2005Counterions at Charged PolymersAli NajiDissertationder Fakult¨at fu¨r Physikder Ludwig–Maximilians–Universit¨atMu¨nchenvorgelegt vonAli Najigeboren am 11. September 1976 in Karaj (Tehran)Mu¨nchen, August 2005Erstgutachter: Prof. Dr. Roland R. NetzZweitgutachter: Prof. Dr. Joachim O. R¨adlerTag der mu¨ndlichen Pru¨fung: 10. November 2005To my wife–Hoda–,my parents–Masoumeh and Sohrab–,my brothers–Majid and Hamid–,and the memory ofmy grandfather, RazzaghContentsAbstract xiZusammenfassung xiii1 Introduction 12 Counterion at Charged Objects: General aspects 72.1 Length scales in a classical charged system . . . . . . . . . . . . . . . . . . . . 72.1.1 From mean-field to strong-coupling regime . . . . . . . . . . . . . . . . 82.2 Counterion distribution at a charged surface . . . . . . . . . . . . . . . . . . . 102.2.1 Weak-coupling or mean-field regime . . . . . . . . . . . . . . . . . . . 102.2.2 Strong-coupling (SC) regime . . . . . . . . . . . . . . . . . . . . . . . 112.3 The role of curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122.3.1 Binding-unbinding transition of counterions . . . . . . . . . . . . . . . 132.4 Interactions between like-charged surfaces . . . . . . . . . . . . . . . . . . . . 142.4.1 Mean-field regime: Repulsion . . . . . . . . . . . . . . . . . . . . . . . 152.4.2 Strong-coupling regime: Attraction . . . . . . . . . . . . . . . . . . . .