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PreprintCC BY-NC-SA 4.0arXiv

Pointwise decay of cumulants and scaling regimes of chaotic states

  • Stefano Rossi
  • Sergio Simonella
  • Aleksis Vuoksenmaa
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Abstract

We consider nonequilibrium chaotic states of classical interacting particles in a family of scaling limits motivated by kinetic theory. The particle activity and the strength of the pair interaction are rescaled simultaneously, allowing for both dilute and non-dilute regimes. Using cluster expansion, we derive pointwise bounds for truncated correlation functions (cumulants) of arbitrary order. We cover stable finite-range interactions and repulsive Riesz potentials, including non-integrable tails in bounded macroscopic domains.

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Cite

BibTeXRIS
BibTeX
@misc{rossi2026pointwise,
  title = {{Pointwise decay of cumulants and scaling regimes of chaotic states}},
  author = {Stefano Rossi and Sergio Simonella and Aleksis Vuoksenmaa},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36788},
  eprint = {2610.36788},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36788},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Pointwise decay of cumulants and scaling regimes of chaotic states
AU  - Stefano Rossi
AU  - Sergio Simonella
AU  - Aleksis Vuoksenmaa
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.36788
UR  - https://arxiv.org/abs/2610.36788
AB  - We consider nonequilibrium chaotic states of classical interacting particles in a family of scaling limits motivated by kinetic theory. The particle activity and the strength of the pair interaction are rescaled simultaneously, allowing for both dilute and non-dilute regimes. Using cluster expansion, we derive pointwise bounds for truncated correlation functions (cumulants) of arbitrary order. We cover stable finite-range interactions and repulsive Riesz potentials, including non-integrable tails in bounded macroscopic domains.
ER  -