The hydrodynamic interpretation of quantum mechanics treats a system particles in an effective manner. In this work, we investigate squeezed coherent states within the interpretation. Hamiltonian operator question is time dependent, n-dimensional and quadratic order. We start with deriving phase space Wigner probability distribution associated equilibrium entropy for states. Then, decompose joi...

We present a comprehensive theory of the Dyakonov-Shur (DS) plasma instability in current-biased graphene transistors. Using hydrodynamic approach, we derive equations describing DS two-dimensional electron fluid at arbitrary values drift velocity. These nonlinear together with Maxwell's are used for numerical analysis spatial and temporal evolution system after is triggered by random current f...

In this paper the well-known Dubrovin–Novikov problem posed as long ago as 1984 in connection with the Hamiltonian theory of systems of hydrodynamic type, namely, the classification problem for multidimensional Poisson brackets of hydrodynamic type, is solved. In contrast to the one-dimensional case, in the general case, a nondegenerate multidimensional Poisson bracket of hydrodynamic type cann...

where lmicro is a characteristic scale of microscopic processes in the system (e.g. a correlation length), and L is a typical size of the system. Hydrodynamic description becomes unreliable when the inequality (1) is not satisfied. Schwarzschild black holes do not correspond to any hydrodynamic regime in a (hypothetical) holographicaly dual description because in that case L ∼ 1/T ∼ lmicro. We ...

We study the mechanisms setting radius of convergence hydrodynamic dispersion relations in kinetic theory relaxation time approximation. This introduces a qualitatively new feature with respect to holography: nonhydrodynamic sector represented by branch cut retarded Green's function. In contrast existing holographic examples, we find that shear channel is set collision pole point. sound it pole...