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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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Navigating Phase Transitions with Path-Finding Algorithms: A Strategic Approach to Replica Exchange Monte Carlo
Akie Kowaguchi1, Katsuhiro Endo2, Kentaro Nomura3
1Keio University, Department of Mechanical Engineering, 3-14-1 Hiyoshi, Kohoku-Ku, Yokohama, Kanagawa 223-8522, Japan.
Journal of Chemical Information and Modeling
|October 11, 2025
Summary
We developed an optimization scheme using Dijkstra algorithm for replica exchange simulations. This method enhances sampling efficiency in molecular dynamics by finding optimal replica exchange paths.
Area of Science:
- Computational Chemistry
- Molecular Dynamics Simulations
- Statistical Mechanics
Background:
- Replica exchange (RE) methods are crucial for simulating systems with slow relaxation dynamics.
- RE efficiency is highly sensitive to replica configuration and exchange probabilities.
- Optimizing these parameters is essential for accurate molecular simulations.
Purpose of the Study:
- To introduce a novel optimization scheme for enhancing replica exchange efficiency.
- To systematically improve the control of relaxation dynamics in molecular simulations.
- To accelerate sampling in systems with slow relaxation near critical points or phase transitions.
Main Methods:
- A new optimization scheme based on the Dijkstra algorithm is proposed.
- Replicas and their exchange probabilities are represented on a graph.
- An optimal exchange path is constructed by minimizing entropy gradient transitions.
Main Results:
- The proposed method effectively speeds up sampling in molecular simulations.
- Demonstrated efficiency in overcoming slow relaxation near critical points.
- Successfully applied to the solid-liquid phase transition of the Lennard-Jones bulk system.
Conclusions:
- The Dijkstra-based optimization scheme offers a systematic approach to improve RE efficiency.
- The method provides new insights into controlling relaxation dynamics.
- This technique is valuable for complex molecular systems and phase transitions.
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