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Published on: July 19, 2019
An efficient and universal parallel algorithm for high-dimensional quantum dynamics in poly-atomic reactions
Yong Zhou1,2, Yunpeng Lu3, Zhaojun Zhang2
1Anhui Province Key Laboratory for Control and Applications of Optoelectronic Information Materials, Department of Physics, Anhui Normal University, Wuhu 241000, People's Republic of China.
A new parallel algorithm accelerates high-dimensional quantum dynamics simulations for polyatomic reactions. This efficient and scalable method enhances understanding of complex chemical reactions.
Area of Science:
- Computational Chemistry
- Quantum Dynamics
- Chemical Physics
Background:
- High-dimensional quantum dynamics simulations are crucial for understanding polyatomic reactions.
- Existing methods face challenges in scalability and efficiency for complex systems.
Purpose of the Study:
- To develop and assess a novel parallel algorithm for high-dimensional quantum dynamics simulations.
- To improve the efficiency and scalability of simulations for polyatomic reactions.
Main Methods:
- Implementation of a parallel algorithm integrating distributed- and shared-memory models.
- Distribution of wave function and potential energy matrix across message passing interface processes using bundled dimensions.
- Utilized two- or one-sided communication schemes for performance optimization.
Main Results:
- Demonstrated linear scalability with over 90% efficiency using up to 600 processors for the H + NH3 reaction.
- The algorithm showed excellent extensibility, successfully applied to six-atom and four-atom reactions.
- Confirmed the algorithm's efficiency, scalability, and adaptability in realistic simulations.
Conclusions:
- The developed parallel algorithm provides a robust foundation for high-dimensional dynamics studies.
- The algorithm is a valuable tool for exploring quantum dynamics complexities in diverse reaction systems.
- This work paves the way for future advancements in computational chemistry and quantum dynamics.
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Hybridization of Atomic Orbitals II
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Homogeneous Equilibria for Gaseous Reactions
For gas-phase reactions, the equilibrium constant may be expressed in terms of either the molar concentrations (Kc) or partial pressures (Kp) of the reactants and products. A relation between these two K values may be simply derived from the ideal gas equation and the definition of molarity. According to the ideal gas equation:

