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Comparison of Theories SCFT and Variational Formalism

Self-Consistent Field Theory for Single Chain [Pg.323]

The theoretical description presented above for multichain polyelectrolyte solutions can be easily adapted to study a single flexible polyelectrolyte chain confined in a spherical cavity of volume Q = 4jtl /3. For a single flexible polyelectrolyte chain with a fixed degree of ionization (=/) in the presence of salt ions and solvent molecules, the Hamiltonian can be written as [Pg.323]

Defining the dimensionless Flory parameter for chemical mismatch, Xps by Eq. (6.71) after using Wpp, w ss, and Wps as the excluded volume parameters characterizing the short-range excluded volume interactions of type monomer-monomer. [Pg.323]

using the methods of collective variables (cf. Section 6.4.2.1) for decoupling all the interactions except the electrostatics and the Hubbard-Stratonovich transformation [14, 55] (cf. Section 6.4.2.2) for the electrostatic part in Eq. (6.124), the partition function can be written as integrals over the collective densities and corresponding fields so that Eq. (6.124) becomes [Pg.324]

Wg are the collective fields experienced by the monomers and solvent, respectively, and Qp,Qg represent their respective collective densities. All charged species (excluding the ion-pairs formed due to adsorption of counterions) experience a field t ) (which is equivalent to the electrostatic potential), t) and u are Lagrange s multipliers corresponding to, respectively, the incompressibility and net charge constraints in the partition function. [Pg.324]


Comparison of Theories SCFT and Variational Formalism 325 Table 6.2 Comparison of contributions to Ff in SCFT and variational formalism. [Pg.325]


See other pages where Comparison of Theories SCFT and Variational Formalism is mentioned: [Pg.322]    [Pg.323]    [Pg.333]    [Pg.337]    [Pg.322]    [Pg.323]    [Pg.333]    [Pg.337]    [Pg.321]    [Pg.330]    [Pg.322]   


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Comparison of Theories

SCFT variational theory

Theory Formalism

Variational theory

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