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Updated: Jul 16, 2026

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
Published on: September 17, 2021
Molecular dynamics simulation in the grand canonical ensemble.
Hossein Eslami1, Florian Müller-Plathe
1Eduard-Zintl-Institut für Anorganische und Physikalische Chemie, Technische Universität Darmstadt, Petersenstrasse 20, D-64287, Germany. h.eslami@theo.chemie.tudarmstadt.de
A new molecular dynamics (MD) simulation method enables constant chemical potential calculations. This approach extends existing Hamiltonians to dynamically adjust particle numbers, proving effective for various systems including water.
Area of Science:
- Computational Chemistry
- Statistical Mechanics
- Physical Chemistry
Background:
- Molecular dynamics (MD) simulations are crucial for understanding molecular behavior.
- Simulating systems at constant chemical potential is challenging but essential for thermodynamic studies.
- Existing methods often involve complex setups or approximations.
Purpose of the Study:
- To introduce a novel extended system Hamiltonian for grand canonical ensemble simulations.
- To develop an efficient algorithm for molecular dynamics at constant chemical potential.
- To validate the proposed method across diverse systems and conditions.
Main Methods:
- An extended system Hamiltonian incorporating real and fractional particles and reservoirs was developed.
- Nonlinear scaling of fractional particle potential energy parameters and mass allowed dynamic particle number variation.
- Equations of motion derived from the Hamiltonian formed the basis for the MD algorithm.
Main Results:
- The algorithm was successfully tested on ideal gas, Lennard-Jones fluids (low and high density), and water.
- Results for low-density Lennard-Jones fluids agreed with truncated virial equation predictions.
- Predictions for dense Lennard-Jones fluids and water showed good agreement with established methods.
Conclusions:
- The proposed extended Hamiltonian and MD algorithm provide a robust method for simulations at constant chemical potential.
- The technique accurately predicts thermodynamic properties and phase behavior, including vapor-liquid coexistence.
- This method offers a valuable tool for computational studies in physical chemistry and materials science.
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