Department ofPhysics of Complex Systems

Turbulence theory

Prof. Gregory Falkovich

01 / Research

Research

The group studies turbulence and the statistical physics of systems driven far from equilibrium. Turbulent flows resist a closed mathematical description: energy injected at one scale cascades across a wide range of scales before dissipating, producing fluctuations that are strongly intermittent and irreducibly statistical. The aim is to identify the universal laws governing these fluctuations, to characterize the statistics of velocity and of passive quantities such as temperature or pollutants advected by the flow, and to understand how conservation laws and symmetries are broken or restored in the turbulent state.

This work matters because turbulence is the generic state of fluids in nature and technology, from the atmosphere and oceans to astrophysical plasmas and industrial flows, yet it remains one of the central unsolved problems of classical physics. By treating turbulence within the broader framework of nonequilibrium statistical mechanics, the group connects fluid mechanics to questions about entropy production, fluctuation relations, and the emergence of large-scale coherent structures, seeking exact results and controlled limits that can anchor an otherwise phenomenological field.

Statistical field theoryExact and perturbative analysisConservation-law and symmetry methodsLarge-deviation theoryDirect numerical simulationConformal-invariance techniques
Cascades and intermittencyCharacterizing how energy and other conserved quantities transfer across scales and why turbulent fluctuations deviate strongly from Gaussian statistics.
Passive scalar turbulenceDeriving the anomalous scaling and statistics of scalar fields such as temperature or concentration advected by a random flow.
Two-dimensional and geophysical flowsStudying inverse cascades and the spontaneous formation of large-scale coherent structures in two-dimensional and rotating fluids.
Nonequilibrium statistical physicsExtending fluctuation relations, entropy production, and large-deviation theory to driven systems and turbulent steady states.
Wave and weak turbulenceAnalyzing the statistics of interacting random waves and the breakdown of weak-turbulence theory near coherent structures.
02 / People

Group members

Postdocs & interns 2
  • Dr. Ben Yehuda Israeli
  • Sandip Manohar Wadhai
MSc students 1
  • Miguel Salomon Kohen
Listed on the group page, position not in the directory 1
  • Dr. Yuke Li

4 people are listed with this group, besides the principal investigator. Names and categories are as published in the Weizmann directory and on the group's own page; rooms, phone numbers and e-mail addresses are on the People page.

03 / Output

Recent publications

All publications