How predictable are turbulent flows? Here, we use theoretical estimates and shell model
simulations to argue that Eulerian spontaneous stochasticity, a manifestation of the …

We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid
turbulence and estimate the scale at which they become important. As anticipated by …

In 1945–1949, Lars Onsager made an exact analysis of the high-Reynolds-number limit for
individual turbulent flow realisations modelled by incompressible Navier–Stokes equations …

The Rayleigh–Plateau instability occurs when surface tension makes a fluid column become
unstable to small perturbations. At nanometer scales, thermal fluctuations are comparable to …

We apply fluctuating hydrodynamics to strong electrolyte mixtures to compute the
concentration corrections for chemical potential, diffusivity, and conductivity. We show these …

Fluids in non-equilibrium steady states exhibit long-range fluctuations which extend over the
entire system. They can be described by non-equilibrium thermodynamics and fluctuating …

Heterogeneous nucleation is the most effective mechanism for the inception of phase
transformation. Solid walls and impurities act as a catalyst for the formation of a new …

We propose a novel gauge fluid solver based on Clebsch wave functions to solve
incompressible fluid equations. Our method combines the expressive power of Clebsch …

We investigate the large-scale influence of numerical noises as tiny artificial stochastic
disturbances on a sustained turbulence. Using two-dimensional (2-D) turbulent Rayleigh …

In this work, a stochastic diffuse interface model coupled with the Navier–Stokes equations
has been exploited to numerically investigate vapor nucleation in a non-equilibrium system …