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PreprintCC BY-NC-SA 4.0arXiv

Reaction dynamics in non-Markovian systems with non-monotonically decaying memory

  • Artur Bakaev
  • Otto Geburtig
  • Benjamin A. Dalton
  • Roland R. Netz
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Abstract

Whereas the effect of monotonically decaying memory kernels on reaction dynamics has been studied extensively, the effect of oscillatory memory, observed for widely different systems, is much less explored. We analyze non-Markovian barrier-crossing dynamics in the presence of a single exponentially decaying oscillatory friction memory kernel by simulations and analytical theory. We identify three scaling regimes: two in which the mean first-passage time τMFP scales quartically and linearly with the memory kernel decay time τo, respectively, and a third in which τMFP scales quartically with the oscillation period τφ of the memory kernel. Our results are relevant to a broad class of many-body dynamical systems such as dihedral isomerization processes and chemical reactions in solvents.

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Cite

BibTeXRIS
BibTeX
@misc{bakaev2026reaction,
  title = {{Reaction dynamics in non-Markovian systems with non-monotonically decaying memory}},
  author = {Artur Bakaev and Otto Geburtig and Benjamin A. Dalton and Roland R. Netz},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17140},
  eprint = {2609.17140},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17140},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Reaction dynamics in non-Markovian systems with non-monotonically decaying memory
AU  - Artur Bakaev
AU  - Otto Geburtig
AU  - Benjamin A. Dalton
AU  - Roland R. Netz
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.17140
UR  - https://arxiv.org/abs/2609.17140
AB  - Whereas the effect of monotonically decaying memory kernels on reaction dynamics has been studied extensively, the effect of oscillatory memory, observed for widely different systems, is much less explored. We analyze non-Markovian barrier-crossing dynamics in the presence of a single exponentially decaying oscillatory friction memory kernel by simulations and analytical theory. We identify three scaling regimes: two in which the mean first-passage time τ_MFP scales quartically and linearly with the memory kernel decay time τ_o, respectively, and a third in which τ_MFP scales quartically with the oscillation period τ_φ of the memory kernel. Our results are relevant to a broad class of many-body dynamical systems such as dihedral isomerization processes and chemical reactions in solvents.
ER  -