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Stabilizing complex-Langevin field-theoretic simulations for block copolymer melts.

J D Willis1, M W Matsen1,2

  • 1Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

The Journal of Chemical Physics
|December 23, 2024
PubMed
Summary
This summary is machine-generated.

Dynamical stabilization overcomes hot spot issues in complex Langevin simulations for block copolymers. This method accurately calculates fluctuation corrections, improving polymer melt theory and validating conventional simulations.

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Area of Science:

  • Polymer Physics
  • Computational Materials Science
  • Statistical Mechanics

Background:

  • Complex-Langevin field-theoretic simulations (CL-FTSs) offer approximation-free calculation of fluctuation corrections to self-consistent field theory (SCFT) for block copolymer melts.
  • A key challenge in CL-FTSs is the formation of 'hot spots' due to complex field invariance, leading to simulation failure by drifting from the SCFT saddle-point.

Purpose of the Study:

  • To introduce and validate a dynamical stabilization technique for CL-FTSs of diblock copolymer melts.
  • To suppress the drift away from the real-valued saddle-point of SCFT, thereby enhancing simulation stability and accuracy.

Main Methods:

  • Applied dynamical stabilization by introducing a small imaginary force to the composition field in CL-FTSs.
  • Investigated the effect of this force on simulation stability and statistical bias across varying fluctuation intensities.
  • Utilized the stabilized CL-FTS results to validate conventional Langevin simulations (L-FTSs) using Morse calibration.

Main Results:

  • Dynamical stabilization effectively suppresses hot spots and drift in CL-FTSs, allowing for simulations at significantly lower invariant polymerization indices.
  • The required stabilization force increases with fluctuation intensity but remains manageable.
  • Validated conventional L-FTSs against the stabilized CL-FTSs, confirming their accuracy under Morse calibration.

Conclusions:

  • Dynamical stabilization is a robust method for improving the reliability and applicability of CL-FTSs for block copolymer systems.
  • This technique enhances the ability to study fluctuation effects in polymer melts.
  • The findings provide a reliable benchmark for conventional Langevin simulations in polymer physics.