Recent Developments in Fully Fluctuating Field-Theoretic Simulations of Polymer Melts and Solutions

Area of Science:

• Polymer Physics
• Computational Chemistry
• Materials Science

Background:

• Direct simulation of fluctuating field theories for polymeric assemblies is computationally challenging.
• Accurate phase diagrams are crucial for understanding and designing mesostructured polymer systems.

Purpose of the Study:

• To introduce a novel theoretical and computational framework for computing fluctuation-corrected phase diagrams of mesostructured polymer systems.
• To report the first complete phase diagram for a diblock copolymer melt using this new method.

Main Methods:

• Utilizes complex Langevin sampling of a UV-regularized field-theoretic model.
• Employs thermodynamic integration for Helmholtz free energy calculations.
• UV regularization allows comparison of free energies between incommensurate phases.

Main Results:

• Successfully computed the first complete, fluctuation-corrected phase diagram for a diblock copolymer melt.
• Demonstrated accuracy of computed free energies in the disordered phase via one-loop perturbation theory.
• The method allows computation of order-order transitions with fluctuation corrections.

Conclusions:

• The developed framework provides accurate, fluctuation-corrected phase diagrams for polymer systems without uncontrolled approximations.
• This approach is applicable to various polymer melts and solutions with diverse architectures.
• Enables precise prediction of order-order transitions in complex polymeric materials.