Collective dynamics in liquid thallium at the melting point in a wide range of wave numbers and frequencies is studied by molecular dynamics simulations and a theoretical analysis of time correlation functions within the approach of generalized collective modes. The heat fluctuations were explicitly treated in the theoretical scheme within the thermoviscoelastic dynamic model. We report dispers...

We study the Cauchy problem for nonlinear wave equations (NLW) with random data and/or stochastic forcing on a two-dimensional compact Riemannian manifold without boundary. (i) first defocusing damped NLW driven by additive space-time white noise, and initial distributed according to Gibbs measure. By introducing suitable space-dependent renormalization, we prove local well-posedness of renorma...

We present an experimental characterization of the effects of turbulence and breaking gravity waves on air-water gas exchange in standing waves. We identify two regimes that govern aeration rates: turbulent transport when no wave breaking occurs and bubble dominated transport when wave breaking occurs. In both regimes, we correlate the qualitative changes in the aeration rate with corresponding...