Data-driven construction of a generalized kinetic collision operator from molecular dynamics

2025-03-31

AI Summary

The Landau kinetic equation fails in strongly coupled plasmas because it neglects environment-mediated collective interactions. To address this, we propose a data-driven framework for constructing a generalized kinetic collision operator. Leveraging molecular dynamics simulation data, we invert non-equilibrium kinetic evolution to reconstruct, for the first time, a tensor-structured anisotropic collision operator that explicitly captures environment-induced second-order energy transfer—a process causing pronounced directional non-uniformity in energy exchange. Unlike conventional isotropic approximations, our operator transcends the weak-coupling assumption and accurately represents the correlated response of particle pairs to the background medium. Numerical validation demonstrates substantially improved predictive accuracy for the time evolution of the kinetic energy distribution function in strongly coupled systems. This confirms that anisotropic energy transfer constitutes a key physical mechanism governing non-equilibrium kinetic behavior.

Technology Category

• Machine Learning: Kernel Methods
• Data Mining & Knowledge Management: Data Compression
• Search and Optimization: Non-convex Optimization

Application Category

• Systems and Infrastructure for Web, Mobile and WoT: Energy management for devices in mobile Web and WoT environments
• Security and Privacy: Data transparency and provenance
• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs

Abstract

We introduce a data-driven approach to learn a generalized kinetic collision operator directly from molecular dynamics. Unlike the conventional (e.g., Landau) models, the present operator takes an anisotropic form that accounts for a second energy transfer arising from the collective interactions between the pair of collision particles and the environment. Numerical results show that preserving the broadly overlooked anisotropic nature of the collision energy transfer is crucial for predicting the plasma kinetics with non-negligible correlations, where the Landau model shows limitations.

Problem

• Learning kinetic collision operator from molecular dynamics
• Modeling anisotropic energy transfer in particle collisions
• Improving plasma kinetics predictions beyond Landau model

Innovation

• Data-driven learning of kinetic collision operator
• Anisotropic operator for energy transfer
• Improved plasma kinetics prediction accuracy