Skip to content
DraconiticResearch
Search Sources API
201,642 studies31 sourcesUpdated 12 min ago
PreprintarXiv licencearXiv

Regularization of stochastic fluid dynamics and non-perturbative renormalization of the shear viscosity of incompressible fluids

  • Mattis Harhoff
  • Cedric Riedel
  • Johannes Roth
  • Sören Schlichting
Open at sourcePDFDOICite

Abstract

We propose a regularization of stochastic fluid dynamics that preserves all relevant symmetries. By considering an incompressible fluid, we demonstrate explicitly that the regularized theory is UV finite, and therefore admits a continuum limit. Strikingly, the regularized theory of stochastic fluid dynamics is not only amenable to direct numerical simulations of the lattice discretized theory, but also to functional methods in the continuum. We exploit this to perform renormalization group improved perturbative calculations of the renormalization of the shear viscosity of an incompressible fluid in two and three spatial dimensions, and compare our results to direct numerical simulations of the lattice discretized theory.

Related

  1. Evidence for an Obstruction to Perturbative Renormalization Group in Stochastic Turbulence
    L. Ts. Adzhemyan, D. A. Davletbaeva, D. A. Evdokimov +1
    arXivPreprintarXiv licenceFull textStatistical & nonlinear physicsarXiv
  2. Perturbative Renormalization of Noether Currents in SYM with Improved Discretizations
    Marios Costa, Elias Antoniou, Salomi Dimou +4
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  3. The Mass Gap Approach to QCD. II. The non-perturbative renormalization theory for the massive gluon fields
    V. Gogokhia, G. G. Barnafoldi
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  4. Quark and hybrid stars with renormalization group improvement of NNLO perturbative QCD
    Loïc Fernandez, Jean-Loïc Kneur, Marcus Benghi Pinto +3
    arXivPreprintCC BY 4.0Full textHigh-energy astrophysicsHigh-energy & particle physicsarXiv
  5. Non-Perturbative Renormalization Group for Ising-Nematic Criticality: A Closed-Form Nonlocal Ansatz
    Hyeon Jung Kim, Kyoung-Min Kim, Ki-Seok Kim
    arXivPreprintarXiv licenceFull textCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@misc{harhoff2026regularization,
  title = {{Regularization of stochastic fluid dynamics and non-perturbative renormalization of the shear viscosity of incompressible fluids}},
  author = {Mattis Harhoff and Cedric Riedel and Johannes Roth and Sören Schlichting},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23442},
  eprint = {2610.23442},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23442},
}
RIS
TY  - UNPB
TI  - Regularization of stochastic fluid dynamics and non-perturbative renormalization of the shear viscosity of incompressible fluids
AU  - Mattis Harhoff
AU  - Cedric Riedel
AU  - Johannes Roth
AU  - Sören Schlichting
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23442
UR  - https://arxiv.org/abs/2610.23442
AB  - We propose a regularization of stochastic fluid dynamics that preserves all relevant symmetries. By considering an incompressible fluid, we demonstrate explicitly that the regularized theory is UV finite, and therefore admits a continuum limit. Strikingly, the regularized theory of stochastic fluid dynamics is not only amenable to direct numerical simulations of the lattice discretized theory, but also to functional methods in the continuum. We exploit this to perform renormalization group improved perturbative calculations of the renormalization of the shear viscosity of an incompressible fluid in two and three spatial dimensions, and compare our results to direct numerical simulations of the lattice discretized theory.
ER  -