Membranes containing highly charged biomolecules can have a minimal free-energy state at small separations that originates in the strongly correlated electrostatic interactions mediated by counterions. This phenomenon can lead to a condensed, lamellar phase of charged membranes that coexists in thermodynamic equilibrium with a very dilute membrane phase. Although the dilute phase is mostly water, entropy dictates that this phase must contain some membranes and counterions. Thus, electrostatics alone can give rise to the coexistence of a condensed and an unbound lamellar phase. We use numerical simulations to predict the nature of this coexistence when the charge density of the membrane is large, for the case of multivalent counterions and for a membrane charge that is characteristic of biomolecules. We also investigate the effects of counterion size and salt on the two coexisting phases. With increasing salt concentration, we predict that electrostatic screening by salt can destroy the phase separation.
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Univ Notre Dame, Dept Math, Notre Dame, IN 46656 USAUniv Notre Dame, Dept Math, Notre Dame, IN 46656 USA
Galvin, David
Kahn, Jeff
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Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USAUniv Notre Dame, Dept Math, Notre Dame, IN 46656 USA
Kahn, Jeff
Randall, Dana
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Georgia Inst Technol, Sch Comp Sci, Atlanta, GA 30332 USAUniv Notre Dame, Dept Math, Notre Dame, IN 46656 USA
Randall, Dana
Sorkin, Gregory B.
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London Sch Econ, Dept Management, London WC2A 2AE, England
London Sch Econ, Dept Math, London WC2A 2AE, EnglandUniv Notre Dame, Dept Math, Notre Dame, IN 46656 USA
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UNIV GRENOBLE 1, SPECTROMETRIE PHYS LAB, URA 08, F-38402 ST MARTIN DHERES, FRANCEUNIV GRENOBLE 1, SPECTROMETRIE PHYS LAB, URA 08, F-38402 ST MARTIN DHERES, FRANCE
Kvitek, Z
Bornarel, J
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UNIV GRENOBLE 1, SPECTROMETRIE PHYS LAB, URA 08, F-38402 ST MARTIN DHERES, FRANCEUNIV GRENOBLE 1, SPECTROMETRIE PHYS LAB, URA 08, F-38402 ST MARTIN DHERES, FRANCE