Machine learning configuration-dependent friction tensors in Langevin heatbaths
Dynamics of coarse-grained particle systems derived via the Mori–Zwanzig projection formalism commonly take the form of a (generalized) Langevin equation with configuration-dependent friction tensor and diffusion coefficient matrix. In this article, we introduce a class of equivariant representation...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2025-01-01
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| Series: | Machine Learning: Science and Technology |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/2632-2153/ada248 |
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| Summary: | Dynamics of coarse-grained particle systems derived via the Mori–Zwanzig projection formalism commonly take the form of a (generalized) Langevin equation with configuration-dependent friction tensor and diffusion coefficient matrix. In this article, we introduce a class of equivariant representations of tensor-valued functions based on the Atomic Cluster Expansion framework that allows for efficient learning of such configuration-dependent friction tensors from data. Besides satisfying the correct equivariance properties with respect to the Euclidean group E(3), the resulting heat bath models satisfy a fluctuation-dissipation relation. We demonstrate the capabilities of the model approach by fitting a model of configuration-dependent tensorial electronic friction calculated from first principles that arises during reactive molecular dynamics at metal surfaces. |
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| ISSN: | 2632-2153 |