Fluctuation-induced forces in homogeneous isotropic turbulence

TL;DR

This paper demonstrates a fluctuation-induced force between plates in homogeneous isotropic turbulence, revealing its dependence on the characteristic length scale of turbulent structures and providing insights into force generation in non-equilibrium systems.

Contribution

It uncovers a novel fluctuation-induced force mechanism in turbulence, linking force magnitude to the localised energy structures called 'worms' and their spatial arrangement.

Findings

Force is non-monotonic with plate separation.

Maximum force occurs when separation matches worm length.

Force depends on the localised energy distribution in turbulence.

Abstract

Understanding force generation in non-equilibrium systems is a significant challenge in statistical physics. We uncover a surprising fluctuation-induced force between two plates immersed in homogeneous isotropic turbulence using Direct Numerical Simulation. The force is a non-monotonic function of plate separation. The mechanism of force generation reveals an intriguing analogy with fluctuation-induced forces: energy in the fluid is localised in regions of high vorticity, or "worms", which have a characteristic length scale. The magnitude of the force depends on the packing of worms inside the plates, with the maximal force attained when the plate separation is comparable to the characteristic worm length. A key implication of our study is that the length scale-dependent partition of energy in an active or non-equilibrium system determines force generation.