We determine the kinetic coefficients of ultrasoft pions using chiral perturbation theory at finite temperature close to limit. This is used compute axial charge diffusion and damping in hydrodynamic effective for these pion waves. show that provide a leading order answer one needs explore dynamics hard, soft, modes, which are represented microscopically by appropriate descriptions..

One manifestation of quantum chaos is a random-matrix-like fine-grained energy spectrum. Prior to the inverse level spacing time, random matrix theory predicts “ramp” increasing variance in connected part spectral form factor. However, realistic chaotic systems, finite-time dynamics factor much richer, with pure ramp appearing only at sufficiently late time. In this article, we present hydrodyn...

The complete 3D nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. For describing the dynamics of the system, the Newtonian derivation procedure is followed. The velocity field inside the pipe formulated using hydrostatic and Bernoulli equations. The hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...

In the theory of traffic flows the main characteristics are: intensity, speed, and density.  They make it possible to use hydrodynamic models. In connection with the development of modern highways and road networks, traffic flows behavior is becoming more and more complex and diverse. In particular, the B.Kerner studies have shown that the laminar solution of hydrodynamic models is poorly corre...