Transition path theory (TPT) offers a powerful formalism for extracting the rate and mechanism of rare dynamical transitions between metastable states. Most applications of TPT either focus on systems with modestly sized state spaces or use collective variables to try to tame the curse of dimensionality. Increasingly, expressive function approximators such as neural networks and tensor networks have shown promise in computing the central object of TPT, the committor function, even in very high-dimensional systems. That progress prompts our consideration of how one could use such a high-dimensional function to extract mechanistic insights. Here, we present and illustrate a straightforward but powerful way to track how individual dynamical coordinates evolve during a reactive event. The strategy, which involves marginalizing the reactive ensemble, naturally captures the evolution of the dynamical coordinate’s distribution, not just its mean reactive behavior.
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14 December 2024
Research Article|
December 09 2024
From high-dimensional committors to reactive insights
Special Collection:
JCP and CPR Editors’ Choice 2024
,
2024 JCP Emerging Investigators Special Collection
Nils E. Strand
;
Nils E. Strand
a)
(Conceptualization, Data curation, Formal analysis, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing)
Department of Chemistry, Northwestern University
, 2145 Sheridan Road, Evanston, Illinois 60208, USA
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Schuyler B. Nicholson
;
Schuyler B. Nicholson
(Formal analysis, Funding acquisition, Methodology, Software, Writing – review & editing)
Department of Chemistry, Northwestern University
, 2145 Sheridan Road, Evanston, Illinois 60208, USA
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Hadrien Vroylandt
;
Hadrien Vroylandt
b)
(Formal analysis, Methodology, Software, Writing – review & editing)
Department of Chemistry, Northwestern University
, 2145 Sheridan Road, Evanston, Illinois 60208, USA
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Todd R. Gingrich
Todd R. Gingrich
c)
(Conceptualization, Formal analysis, Funding acquisition, Project administration, Supervision, Visualization, Writing – original draft, Writing – review & editing)
Department of Chemistry, Northwestern University
, 2145 Sheridan Road, Evanston, Illinois 60208, USA
c)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
Nils E. Strand
a)
Schuyler B. Nicholson
Hadrien Vroylandt
b)
Todd R. Gingrich
c)
Department of Chemistry, Northwestern University
, 2145 Sheridan Road, Evanston, Illinois 60208, USA
c)Author to whom correspondence should be addressed: [email protected]
a)
Now at: James Franck Institute, University of Chicago, Chicago, IL 60637, USA.
b)
Now at: CERMICS, École des Ponts, Institut Polytechnique de Paris, Marne-la-Vallée, France.
J. Chem. Phys. 161, 224109 (2024)
Article history
Received:
August 09 2024
Accepted:
October 24 2024
Citation
Nils E. Strand, Schuyler B. Nicholson, Hadrien Vroylandt, Todd R. Gingrich; From high-dimensional committors to reactive insights. J. Chem. Phys. 14 December 2024; 161 (22): 224109. https://doi.org/10.1063/5.0232705
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