A Stochastic Algorithm for the Isobaric-Isothermal Ensemble with Ewald Summations for All Long Range Forces.

Area of Science:

• Computational chemistry
• Molecular dynamics simulations
• Statistical mechanics

Background:

• Accurate molecular simulations require robust algorithms for ensemble sampling.
• The NPT ensemble is crucial for modeling systems at constant pressure and temperature.
• Existing methods face challenges in efficiently handling long-range forces and achieving stable integrations.

Purpose of the Study:

• To present a novel algorithm, COMPEL, for efficient and accurate NPT ensemble simulations.
• To integrate recent advancements in numerical integration and pressure coupling.
• To provide a stable and robust method for molecular dynamics.

Main Methods:

• Development of the COMPEL algorithm, incorporating molecular pressure concepts.
• Utilizing Ewald summation for exact long-range force pressure calculations.
• Employing Trotter expansion for a stable and symmetric numerical integrator.
• Implementation within the MOIL program for practical application.

Main Results:

• COMPEL achieves high efficiency and accuracy in NPT ensemble simulations.
• The algorithm demonstrates robustness and stability through numerical examples.
• Integration of novel features leads to improved simulation performance.

Conclusions:

• COMPEL offers a significant advancement in molecular dynamics simulation techniques.
• The algorithm provides a reliable tool for studying systems under constant pressure and temperature.
• Further applications and validation of COMPEL are warranted.