A Physics-Informed Machine-Learning Platform for Smart Lagrangian Harness and Control of TURBulence

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Publications

Energetic cost of microswimmer navigation: The role of body shape

Author(s): Lorenzo Piro; Andrej Vilfan; Ramin Golestanian; Benoît Mahault
Published in: Phys. Rev. Research, Issue 6, 2024, ISSN 2643-1564
Publisher: APS
DOI: 10.1103/physrevresearch.6.013274

Large-scale convective flow sustained by thermally active Lagrangian tracers

Author(s): Lokahith Agasthya; Andreas Bartel; Luca Biferale; Matthias Ehrhardt; Federico Toschi
Published in: Journal of Fluid Mechanics, Issue 20, 2022, ISSN 0022-1120
Publisher: Cambridge University Press
DOI: 10.1017/jfm.2022.892

Reconstruction of turbulent data with deep generative models for semantic inpainting from TURB-Rot database

Author(s): Michele Buzzicotti; Fabio Bonaccorso; Fabio Bonaccorso; P. Clark di Leoni; Luca Biferale
Published in: Physical Review Fluids, 2021, ISSN 2469-990X
Publisher: APS
DOI: 10.1103/physrevfluids.6.050503

Generation of momentum transport in weakly turbulent β-plane magnetohydrodynamics

Author(s): R. A. Heinonen; P. H. Diamond; M. F. D. Katz; G. E. Ronimo
Published in: Physical Review E, Issue 107, 2023, ISSN 2470-0045
Publisher: APS
DOI: 10.1103/physreve.107.025202

Taming Lagrangian Chaos with Multi-Objective Reinforcement Learning

Author(s): Calascibetta, Chiara; Biferale, Luca; Borra, Francesco; Celani, Antonio; Cencini, Massimo
Published in: The European Physical Journal E, Issue 46, 2023, ISSN 1292-895X
Publisher: Springer Nature
DOI: 10.1140/epje/s10189-023-00271-0

Multi-Scale Reconstruction of Turbulent Rotating Flows with Generative Diffusion Models

Author(s): Tianyi Li; Alessandra S. Lanotte; Michele Buzzicotti; Fabio Bonaccorso; Luca Biferale
Published in: Atmosphere, Issue 15, 2023, ISSN 2073-4433
Publisher: Rotoweb Cantelli
DOI: 10.3390/atmos15010060

Continuum modeling of shear startup in soft glassy materials.

Author(s): Roberto Benzi; Thibaut Divoux; Catherine Barentin; Sébastien Manneville; Mauro Sbragaglia; Federico Toschi
Published in: Physical Review E, 2021, ISSN 2470-0053
Publisher: APS
DOI: 10.1103/physreve.104.034612

Spatio-Temporal Coarse-Graining Decomposition of the Global Ocean Geostrophic Kinetic Energy

Author(s): Buzzicotti M.; Storer B.A.; Khatri H.; Griffies S.M.; Aluie H.
Published in: Journal of Advances in Modeling Earth Systems, Issue 15, 2023, ISSN 1942-2466
Publisher: American Geophysical Union
DOI: 10.1029/2023ms003693

Solver-in-the-loop approach to closure of shell models of turbulence

Author(s): André Freitas, Kiwon Um, Mathieu Desbrun, Michele Buzzicotti, Luca Biferale
Published in: Physical Review Fluids, Issue 10, 2025, ISSN 2469-990X
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevfluids.10.044602

Deformation of ellipsoidal droplets in homogeneous and isotropic turbulence

Author(s): Fabio Guglietta, Diego Taglienti, Mauro Sbragaglia
Published in: Physical Review Fluids, Issue 10, 2025, ISSN 2469-990X
Publisher: American Physical Society (APS)
DOI: 10.1103/zhzf-q2b9

Lectures on turbulence

Author(s): Roberto Benzi; Federico Toschi
Published in: Physics Reports, Issue 1021, 2023, ISSN 0370-1573
Publisher: Elsevier BV
DOI: 10.1016/j.physrep.2023.05.001

Acceleration of Lagrangian particles in shell models of turbulence

Author(s): Lorenzo Piro, Massimo Cencini, Roberto Benzi
Published in: Physical Review Fluids, Issue 10, 2025, ISSN 2469-990X
Publisher: American Physical Society (APS)
DOI: 10.1103/lltk-vsrb

Optimal trajectories for Bayesian olfactory search in turbulent flows: The low information limit and beyond

Author(s): R. A. Heinonen, L. Biferale, A. Celani, M. Vergassola
Published in: Physical Review Fluids, Issue 10, 2025, ISSN 2469-990X
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevfluids.10.044601

Droplet dynamics in homogeneous isotropic turbulence with the immersed boundary–lattice Boltzmann method

Author(s): Diego Taglienti, Fabio Guglietta, Mauro Sbragaglia
Published in: Physical Review E, Issue 110, 2024, ISSN 2470-0045
Publisher: American Physical Society (APS)
DOI: 10.1103/physreve.110.015302

Dynamical regimes of thermally convective emulsions

Author(s): Francesca Pelusi, Andrea Scagliarini, Mauro Sbragaglia, Massimo Bernaschi, Roberto Benzi
Published in: Physical Review E, Issue 111, 2025, ISSN 2470-0045
Publisher: American Physical Society (APS)
DOI: 10.1103/physreve.111.065401

Non-equilibrium Ensembles for the three-dimensional Navier-Stokes Equations

Author(s): G. Margazoglou; L. Biferale; M. Cencini; G. Gallavotti; V. Lucarini
Published in: Physical Review E, 2022, ISSN 2470-0053
Publisher: APS
DOI: 10.1103/physreve.105.065110

Reduced model for droplet dynamics in shear flows at finite capillary numbers

Author(s): Diego Taglienti; Fabio Guglietta; Mauro Sbragaglia
Published in: Physical Review Fluids, Issue 8, 2023, ISSN 2469-990X
Publisher: APS
DOI: 10.1103/physrevfluids.8.013603

Reconstructing Rayleigh–Bénard flows out of temperature-only measurements using Physics-Informed Neural Networks

Author(s): Patricio Clark Di Leoni; Lokahith Agasthya; Michele Buzzicotti; Luca Biferale
Published in: The European Physical Journal E, Issue 46, 2023, ISSN 1292-895X
Publisher: Springer Nature
DOI: 10.1140/epje/s10189-023-00276-9

Evolution of a Stratified Turbulent Cloud under Rotation

Author(s): Tianyi Li; Minping Wan; Shiyi Chen
Published in: Atmosphere, Issue 14, 2023, ISSN 2073-4433
Publisher: Rotoweb Cantelli
DOI: 10.3390/atmos14101590

Analysis of the heat transfer fluctuations in the Rayleigh–Bénard convection of concentrated emulsions with finite-size droplets

Author(s): Francesca Pelusi; Stefano Ascione; Mauro Sbragaglia; Massimo Bernaschi
Published in: Soft Matter, Issue 19, 2023, ISSN 1744-683X
Publisher: Royal Society of Chemistry
DOI: 10.1039/d3sm00716b

Expressing turbulent kinetic energy as coarse-grained enstrophy or strain deformations

Author(s): Damiano Capocci
Published in: Physical Review Fluids, Issue 10, 2025, ISSN 2469-990X
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevfluids.10.l022601

$\lambda$-Navier-Stokes turbulence

Author(s): Alexakis, Alexandros; Biferale, Luca
Published in: Phyl Transaction of Royal Soc A, 2022, ISSN 1471-2962
Publisher: Royal Society
DOI: 10.1098/rsta.2021.0243

Heavy and light inertial particle aggregates in homogeneous isotropic turbulence: A study on breakup and stress statistics

Author(s): Graziano Frungieri; Matthäus U. Bäbler; Luca Biferale; Alessandra S. Lanotte
Published in: Computers and Fluids, Issue 263, 2023, ISSN 0045-7930
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.compfluid.2023.105944

A lattice Boltzmann study of particle settling in a fluctuating multicomponent fluid under confinement

Author(s): Xiao Xue; Luca Biferale; Mauro Sbragaglia; Federico Toschi
Published in: The European Physical Journal E, 2021, ISSN 1292-895X
Publisher: Springer Nature
DOI: 10.1140/epje/s10189-021-00144-4

Optimal policies for Bayesian olfactory search in turbulent flows

Author(s): R. A. Heinonen; L. Biferale; A. Celani; M. Vergassola
Published in: Physical Review E, Issue 107, 2023, ISSN 2470-0045
Publisher: APS
DOI: 10.1103/physreve.107.055105

Generative diffusion models for synthetic trajectories of heavy and light particles in turbulence

Author(s): Tianyi Li, Samuele Tommasi, Michele Buzzicotti, Fabio Bonaccorso, Luca Biferale
Published in: International Journal of Multiphase Flow, Issue 181, 2024, Page(s) 104980, ISSN 0301-9322
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.ijmultiphaseflow.2024.104980

Weak-strong uniqueness and extreme wall events at high Reynolds number

Author(s): Gregory Eyink, Hao Quan
Published in: Physical Review Fluids, Issue 10, 2025, ISSN 2469-990X
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevfluids.10.064610

Optimal tracking strategies in a turbulent flow

Author(s): Chiara Calascibetta; Luca Biferale; Francesco Borra; Antonio Celani; Massimo Cencini
Published in: Communications Physics, Issue 6, 2023, ISSN 2399-3650
Publisher: Springer Nature
DOI: 10.1038/s42005-023-01366-y

Metastable and Unstable Dynamics in multi-phase lattice Boltzmann

Author(s): Lulli, Matteo; Biferale, Luca; Falcucci, Giacomo; Sbragaglia, Mauro; Yang, Dong; Shan, Xiaowen
Published in: Physical Review E, Issue 109, 2024, ISSN 2470-0053
Publisher: APS
DOI: 10.1103/physreve.109.045304

Mesoscale perspective on the Tolman length

Author(s): Lulli M.; Biferale L.; Falcucci G.; Sbragaglia M.; Shan X.
Published in: Physical Review E, Issue 105, 2022, ISSN 2470-0045
Publisher: APS
DOI: 10.1103/physreve.105.015301

Energy flux decomposition in magnetohydrodynamic turbulence

Author(s): Damiano Capocci, Perry L. Johnson, Sean Oughton, Luca Biferale, Moritz Linkmann
Published in: Journal of Plasma Physics, Issue 91, 2025, ISSN 0022-3778
Publisher: Cambridge University Press
DOI: 10.1017/s0022377824000898

Deep reinforcement learning for the olfactory search POMDP: a quantitative benchmark

Author(s): Robin Heinonen; Aurore Loisy
Published in: The European Physical Journal E, Issue 46, 2023, ISSN 1292-895X
Publisher: Springer Nature
DOI: 10.1140/epje/s10189-023-00277-8

Multi-scale reconstruction of turbulent rotating flows with proper orthogonal decomposition and generative adversarial networks

Author(s): Li T.; Buzzicotti M.; Biferale L.; Bonaccorso F.; Chen S.; Wan M.
Published in: Journal of Fluid Mechanics, Issue 971, 2023, ISSN 0022-1120
Publisher: Cambridge University Press
DOI: 10.1017/jfm.2023.573

Acceleration of tracer and light particles in compressible homogeneous isotropic turbulence

Author(s): Wang, Xiangjun; Wan, Minping; Biferale, Luca
Published in: Journal Fluid Mechanics, 2022, ISSN 1469-7645
Publisher: Cambridge University Press
DOI: 10.1017/jfm.2022.35

Global energy spectrum of the general oceanic circulation

Author(s): Benjamin A. Storer, Michele Buzzicotti, Hemant Khatri, Stephen M. Griffies & Hussein Aluie
Published in: Nature Communications, 2022, ISSN 2041-1723
Publisher: Nature Publishing Group
DOI: 10.1038/s41467-022-33031-3

Generative adversarial networks to infer velocity components in rotating turbulent flows

Author(s): Tianyi Li; Michele Buzzicotti; Luca Biferale; Fabio Bonaccorso
Published in: The European Physical Journal E, Issue 5, 2023, ISSN 1292-895X
Publisher: Springer Nature
DOI: 10.1140/epje/s10189-023-00286-7

Stress Overshoots in Simple Yield Stress Fluids.

Author(s): Roberto Benzi; Thibaut Divoux; Catherine Barentin; Sébastien Manneville; Mauro Sbragaglia; Federico Toschi
Published in: Physical Review Letters, 2021, ISSN 1079-7114
Publisher: APS
DOI: 10.1103/physrevlett.127.148003

Synthetic Lagrangian Turbulence by Generative Diffusion Models

Author(s): Li, Tianyi; Biferale, Luca; Bonaccorso, Fabio; Scarpolini, Martino Andrea; Buzzicotti, Michele
Published in: Nature Machine Intelligence, Issue 6, 2024, ISSN 2522-5839
Publisher: Springer Nature
DOI: 10.1038/s42256-024-00810-0

Extreme statistics and extreme events in dynamical models of turbulence

Author(s): Xander M. de Wit, Giulio Ortali, Alessandro Corbetta, Alexei A. Mailybaev, Luca Biferale, Federico Toschi
Published in: Physical Review E, Issue 109, 2024, ISSN 2470-0045
Publisher: American Physical Society (APS)
DOI: 10.1103/physreve.109.055106

Magnetic ground states of a model for M Nb3 S6 (M=Co, Fe, Ni)

Author(s): O. Heinonen; R. A. Heinonen; H. Park
Published in: Physical Review Materials, Issue 6, 2022, ISSN 2475-9953
Publisher: APS
DOI: 10.1103/physrevmaterials.6.024405

Thread-safe lattice Boltzmann for high-performance computing on GPUs

Author(s): Montessori A.; Lauricella M.; Tiribocchi A.;Durve M.; La Rocca M.; Amati G.; Bonaccorso F.; Succi S.
Published in: Journal of Computational Science, Issue 74, 2023, ISSN 1877-7503
Publisher: Elsevier BV
DOI: 10.1016/j.jocs.2023.102165

Structure and isotropy of lattice pressure tensors for multirange potentials.

Author(s): Matteo Lulli; Luca Biferale; Giacomo Falcucci; Giacomo Falcucci; Mauro Sbragaglia; Xiaowen Shan
Published in: Physical Review E, 2021, ISSN 2470-0053
Publisher: APS
DOI: 10.1103/physreve.103.063309

Inertial range statistics of the entropic lattice Boltzmann method in three-dimensional turbulence.

Author(s): Michele Buzzicotti; Guillaume Tauzin; Guillaume Tauzin
Published in: Physical Review E, Issue 104, 2021, ISSN 2470-0045
Publisher: APS
DOI: 10.1103/physreve.104.015302

New exact Betchov-like relation for the helicity flux in homogeneous turbulence

Author(s): Damiano Capocci; Perry L. Johnson; Sean Oughton; Luca Biferale; Moritz Linkmann
Published in: Journal Fluid Mechanics, Issue 963, 2023, ISSN 1469-7645
Publisher: Cambridge University Press
DOI: 10.1017/jfm.2023.236

Inferring turbulent environments via machine learning

Author(s): Buzzicotti M.; Bonaccorso F.
Published in: European Physical Journal E, Issue 45, 2022, ISSN 1292-8941
Publisher: Springer Verlag
DOI: 10.1140/epje/s10189-022-00258-3

Instanton-based importance sampling for extreme fluctuations in a shell model for turbulent energy cascade

Author(s): Guilherme Tegoni Goedert; Luca Biferale
Published in: European Physical Journal E, Issue 46, 2023, ISSN 1292-8941
Publisher: Springer Verlag
DOI: 10.1140/epje/s10189-023-00392-6

Stochastic reconstruction of gappy Lagrangian turbulent signals by conditional diffusion models

Author(s): Tianyi Li, Luca Biferale, Fabio Bonaccorso, Michele Buzzicotti, Luca Centurioni
Published in: Communications Physics, Issue 8, 2025, ISSN 2399-3650
Publisher: Springer Science and Business Media LLC
DOI: 10.1038/s42005-025-02280-1

Hidden symmetry in passive scalar advected by two-dimensional Navier-Stokes turbulence

Author(s): Chiara Calascibetta, Luca Biferale, Fabio Bonaccorso, Massimo Cencini, Alexei A. Mailybaev
Published in: Physical Review Fluids, Issue 10, 2025, ISSN 2469-990X
Publisher: American Physical Society (APS)
DOI: 10.1103/hfqj-py5v

Reconstructing Rayleigh–Bénard flows out of temperature-only measurements using nudging

Author(s): Lokahith Agasthya; Patricio Clark Di Leoni; Luca Biferale
Published in: Physics of Fluids, 2022, ISSN 1089-7666
Publisher: AIP
DOI: 10.1063/5.0079625

Reinforcement learning for pursuit and evasion of microswimmers at low Reynolds number

Author(s): Francesco Borra; Luca Biferale; Massimo Cencini; Antonio Celani
Published in: Physical review fluids, 2022, ISSN 2469-990X
Publisher: APS
DOI: 10.48550/arxiv.2106.08609

Ductile Breakup of Tracer Aggregates in Homogenous Isotropic Turbulence

Author(s): Frungieri, Graziano; Babler, Matthaus U.; Biferale, Luca; Lanotte, Alessandra S.
Published in: Chemical Engineering transactions, Issue 100, 2023, ISSN 2283-9216
Publisher: The Italian Association of Chemical Engineering
DOI: 10.3303/cet23100063

Oscillations Modulating Power Law Exponents in Isotropic Turbulence: Comparison of Experiments with Simulations

Author(s): Kartik P. Iyer; Gregory P. Bewley; Luca Biferale; Katepalli R. Sreenivasan; Katepalli R. Sreenivasan; Pui-Kuen Yeung
Published in: Physical Review Letters, 2021, ISSN 1079-7114
Publisher: APS
DOI: 10.1103/physrevlett.126.254501

Data reconstruction for complex flows using AI: Recent progress, obstacles, and perspectives

Author(s): Michele Buzzicotti
Published in: Europhysics Letters, Issue 142, 2023, ISSN 0295-5075
Publisher: EDP Sciences
DOI: 10.1209/0295-5075/acc88c

Global cascade of kinetic energy in the ocean and the atmospheric imprint

Author(s): Benjamin A. Storer; Michele Buzzicotti; Hemant Khatri; Stephen M. Griffies; Hussein Aluie
Published in: Science advances, Issue 9, 2023, ISSN 2375-2548
Publisher: AAAS
DOI: 10.1126/sciadv.adi7420

Dissipation-accuracy tradeoffs in autonomous control of smart active matter

Author(s): Luca Cocconi, Benoît Mahault, Lorenzo Piro
Published in: New Journal of Physics, Issue 27, 2025, Page(s) 013002, ISSN 1367-2630
Publisher: Institute of Physics Publishing
DOI: 10.1088/1367-2630/ad9f9a

Teaching to extract spectral densities from lattice correlators to a broad audience of learning-machines

Author(s): Michele Buzzicotti, Alessandro De Santis, Nazario Tantalo
Published in: The European Physical Journal C, Issue 84, 2024, ISSN 1434-6052
Publisher: Springer Science and Business Media LLC
DOI: 10.1140/epjc/s10052-024-12399-0

Immiscible Rayleigh-Taylor turbulence using mesoscopic lattice Boltzmann algorithms

Author(s): Hugo S. Tavares; Luca Biferale; Mauro Sbragaglia; Alexei A. Mailybaev
Published in: Physical Review Fluids, 2021, ISSN 2469-990X
Publisher: APS
DOI: 10.1103/physrevfluids.6.054606

Lightweight lattice Boltzmann

Author(s): Tiribocchi A.; Montessori A.; Amati G.; Bernaschi M.; Bonaccorso F.; Orlandini S.; Succi S.; Lauricella M.
Published in: The Journal of Chemical Physics, Issue 10, 2023, Page(s) 104101, ISSN 0021-9606
Publisher: American Institute of Physics
DOI: 10.1063/5.0139850

A Scale‐Dependent Analysis of the Barotropic Vorticity Budget in a Global Ocean Simulation

Author(s): Hemant Khatri, Stephen M. Griffies, Benjamin A. Storer, Michele Buzzicotti, Hussein Aluie, Maike Sonnewald, Raphael Dussin, Andrew Shao
Published in: Journal of Advances in Modeling Earth Systems, Issue 16, 2024, ISSN 1942-2466
Publisher: American Geophysical Union
DOI: 10.1029/2023ms003813

Minimal phase-coupling model for intermittency in turbulent systems

Author(s): José-Agustín Arguedas-Leiva; Enda Carroll; Luca Biferale; Michael Wilczek; Miguel D. Bustamante
Published in: Physical Review Research, 2022, ISSN 2643-1564
Publisher: APS
DOI: 10.1103/physrevresearch.4.l032035

Mesoscale Modelling of the Tolman Length in Multi-component Systems

Author(s): Lulli, Matteo; Biferale, Luca; Falcucci, Giacomo; Sbragaglia, Mauro; Shan, Xiaowen
Published in: Springer INdAM Series, Issue 51, 2022, ISSN 2281-518X
Publisher: Springer
DOI: 10.1007/978-981-19-6462-6_14

Topical issue on quantitative AI in complex fluids and complex flows: challenges and benchmarks

Author(s): Luca Biferale; Michele Buzzicotti; Massimo Cencini;
Published in: The European Physical Journal E, Issue 46, 2023, ISSN 1292-895X
Publisher: Springer Nature
DOI: 10.1140/epje/s10189-023-00356-w

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