Canonical-Ensemble SCFT Derivation for a Linear Incompressible AB Diblock Melt (Full Auxiliary-Field Formalism)
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Summary
This note presents a canonical-ensemble self-consistent field theory (SCFT) derivation for a linear incompressible AB diblock copolymer melt using a full auxiliary-field formulation.
The derivation follows the field-theoretic route from a microscopic polymer model to the effective Hamiltonian in terms of collective and conjugate fields.
At the saddle-point level, the SCFT equations are obtained in the standard propagator-based framework together with incompressibility and self-consistency relations.
Full Derivation (PDF)
The full derivation with complete equations is provided below.
References
- Fredrickson G. The equilibrium theory of inhomogeneous polymers. OUP Oxford; 2005 Dec 1.
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