---
OA_place: repository
OA_type: green
_id: '23012'
abstract:
- lang: eng
  text: The onset of turbulence in pipe flow has defied detailed understanding ever
    since Reynolds' first observations revealed the spatially-heterogeneous nature
    of the transition. While recent theoretical studies and experiments in simpler,
    shear-driven flows suggest that the onset of turbulence is a directed percolation
    non-equilibrium phase transition, whether these findings are generic and apply
    also to open or pressure-driven flows is unknown. In pipe flow, the extremely
    long time scales near the transition make direct observations of critical behavior
    virtually impossible. Here, we circumvent these limitations by experimentally
    characterizing all pairwise interactions between localized patches of turbulence
    ("puffs"), and using these interactions as input to renormalization group and
    computer simulations of minimal models that extrapolate to long length and time
    scales. We show that the universality class of the transition is directed percolation,
    from which emerges a jammed phase of puffs above the critical point. The stronger
    interactions in the jamming regime enable us to explicitly measure the turbulent
    fraction and confirm model predictions. Our work shows that directed percolation
    scaling applies beyond simple closed shear flows, and underscores how statistical
    mechanics can lead to profound, quantitative and predictive insights on turbulent
    flows and their phases.
article_processing_charge: No
author:
- first_name: Grégoire
  full_name: Lemoult, Grégoire
  last_name: Lemoult
citation:
  ama: Lemoult G. Directed percolation and puff jamming near the transition to pipe
    turbulence. 2023. doi:<a href="https://doi.org/10.5281/zenodo.10308791">10.5281/zenodo.10308791</a>
  apa: Lemoult, G. (2023). Directed percolation and puff jamming near the transition
    to pipe turbulence. Zenodo. <a href="https://doi.org/10.5281/zenodo.10308791">https://doi.org/10.5281/zenodo.10308791</a>
  chicago: Lemoult, Grégoire. “Directed Percolation and Puff Jamming near the Transition
    to Pipe Turbulence.” Zenodo, 2023. <a href="https://doi.org/10.5281/zenodo.10308791">https://doi.org/10.5281/zenodo.10308791</a>.
  ieee: G. Lemoult, “Directed percolation and puff jamming near the transition to
    pipe turbulence.” Zenodo, 2023.
  ista: Lemoult G. 2023. Directed percolation and puff jamming near the transition
    to pipe turbulence, Zenodo, <a href="https://doi.org/10.5281/zenodo.10308791">10.5281/zenodo.10308791</a>.
  mla: Lemoult, Grégoire. <i>Directed Percolation and Puff Jamming near the Transition
    to Pipe Turbulence</i>. Zenodo, 2023, doi:<a href="https://doi.org/10.5281/zenodo.10308791">10.5281/zenodo.10308791</a>.
  short: G. Lemoult, (2023).
date_created: 2026-10-01T07:47:57Z
date_published: 2023-12-08T00:00:00Z
date_updated: 2026-10-01T07:50:31Z
day: '08'
department:
- _id: BjHo
doi: 10.5281/zenodo.10308791
fulldoi: https://doi.org/10.5281/zenodo.10308791
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5281/zenodo.10308791
month: '12'
oa: 1
oa_version: None
publisher: Zenodo
related_material:
  record:
  - id: '17128'
    relation: used_in_publication
    status: public
status: public
title: Directed percolation and puff jamming near the transition to pipe turbulence
type: research_data_reference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2023'
...