---
OA_place: repository
OA_type: green
_id: '21273'
abstract:
- lang: eng
  text: In this paper we examine how porosity fluctuations affect the hydrodynamic
    permeability of a porous matrix or membrane. We introduce a fluctuating Darcy
    model, which couples the Navier-Stokes equation to the space- and time-dependent
    porosity fluctuations via a Darcy friction term. Using a perturbative approach,
    a Dyson equation for hydrodynamic fluctuations is derived and solved to express
    the permeability in terms of the matrix fluctuation spectrum. Surprisingly, the
    model reveals strong modifications of the fluid permeability in fluctuating matrices
    compared to static ones. Applications to various matrix excitation models, the
    breathing matrix, phonons, and active forcing, highlight the significant influence
    of matrix fluctuations on fluid transport, offering insights for optimizing membrane
    design for separation applications.
acknowledgement: "The authors acknowledge support from ERC project n-AQUA, Grant Agreement
  No. 101071937.\r\nB.C. and A.S. acknowledge support from the CFM Foundation. B.C.
  acknowledges support from\r\nthe NOMIS Foundation."
article_number: '014201'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Albert
  full_name: Dombret, Albert
  last_name: Dombret
- first_name: Adrien
  full_name: Sutter, Adrien
  last_name: Sutter
- first_name: Baptiste
  full_name: Coquinot, Baptiste
  id: f8417bd4-f599-11ee-a482-b927e3ed1e8e
  last_name: Coquinot
  orcid: 0000-0001-5524-596X
- first_name: Nikita
  full_name: Kavokine, Nikita
  last_name: Kavokine
- first_name: Benoit
  full_name: Coasne, Benoit
  last_name: Coasne
- first_name: Lydéric
  full_name: Bocquet, Lydéric
  last_name: Bocquet
citation:
  ama: Dombret A, Sutter A, Coquinot B, Kavokine N, Coasne B, Bocquet L. Hydrodynamic
    permeability of fluctuating porous membranes. <i>Physical Review Fluids</i>. 2026;11(1).
    doi:<a href="https://doi.org/10.1103/m8h6-1wfk">10.1103/m8h6-1wfk</a>
  apa: Dombret, A., Sutter, A., Coquinot, B., Kavokine, N., Coasne, B., &#38; Bocquet,
    L. (2026). Hydrodynamic permeability of fluctuating porous membranes. <i>Physical
    Review Fluids</i>. American Physical Society. <a href="https://doi.org/10.1103/m8h6-1wfk">https://doi.org/10.1103/m8h6-1wfk</a>
  chicago: Dombret, Albert, Adrien Sutter, Baptiste Coquinot, Nikita Kavokine, Benoit
    Coasne, and Lydéric Bocquet. “Hydrodynamic Permeability of Fluctuating Porous
    Membranes.” <i>Physical Review Fluids</i>. American Physical Society, 2026. <a
    href="https://doi.org/10.1103/m8h6-1wfk">https://doi.org/10.1103/m8h6-1wfk</a>.
  ieee: A. Dombret, A. Sutter, B. Coquinot, N. Kavokine, B. Coasne, and L. Bocquet,
    “Hydrodynamic permeability of fluctuating porous membranes,” <i>Physical Review
    Fluids</i>, vol. 11, no. 1. American Physical Society, 2026.
  ista: Dombret A, Sutter A, Coquinot B, Kavokine N, Coasne B, Bocquet L. 2026. Hydrodynamic
    permeability of fluctuating porous membranes. Physical Review Fluids. 11(1), 014201.
  mla: Dombret, Albert, et al. “Hydrodynamic Permeability of Fluctuating Porous Membranes.”
    <i>Physical Review Fluids</i>, vol. 11, no. 1, 014201, American Physical Society,
    2026, doi:<a href="https://doi.org/10.1103/m8h6-1wfk">10.1103/m8h6-1wfk</a>.
  short: A. Dombret, A. Sutter, B. Coquinot, N. Kavokine, B. Coasne, L. Bocquet, Physical
    Review Fluids 11 (2026).
corr_author: '1'
date_created: 2026-02-17T08:10:09Z
date_published: 2026-01-21T00:00:00Z
date_updated: 2026-02-23T12:01:57Z
day: '21'
department:
- _id: MiLe
doi: 10.1103/m8h6-1wfk
external_id:
  arxiv:
  - '2512.11368'
intvolume: '        11'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2512.11368
month: '01'
oa: 1
oa_version: Preprint
publication: Physical Review Fluids
publication_identifier:
  eissn:
  - 2469-990X
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Hydrodynamic permeability of fluctuating porous membranes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2026'
...