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Improved convergence in block copolymer self-consistent field theory by Anderson mixing
R B Thompson1, K Ø Rasmussen, T Lookman
1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA. rthompson@lanl.gov
The Journal of Chemical Physics
|July 23, 2004
Summary
A new modification to polymeric self-consistent field theory algorithms significantly speeds up calculations. This Anderson mixing-based method reduces iterations needed for accurate polymer phase behavior solutions, improving computational efficiency.
Area of Science:
- Polymer Physics
- Computational Materials Science
- Soft Matter Theory
Background:
- Polymeric self-consistent field theory (SCFT) is crucial for predicting polymer phase behavior.
- Traditional SCFT algorithms can suffer from slow convergence, requiring many iterations.
- Efficient computation is vital for exploring complex polymer systems.
Purpose of the Study:
- To present a novel modification to real-space SCFT algorithms.
- To enhance the convergence properties of SCFT calculations.
- To reduce the computational time required for accurate polymer simulations.
Main Methods:
- Implementation of Anderson mixing within real-space SCFT.
- Modification focuses on improving iterative solution convergence.
- No prior knowledge of polymer phases is needed for the method.
Main Results:
- The modified SCFT algorithm demonstrates greatly improved convergence.
- Iteration count is significantly reduced, often by more than a factor of 5.
- Computational overhead per iteration is negligible compared to traditional methods.
Conclusions:
- The Anderson mixing-based SCFT modification offers substantial computational advantages.
- This approach accelerates the discovery and characterization of polymer phases.
- The method is broadly applicable to various polymer systems, including diblock copolymers.