Poisson brackets method in ferrohydrodynamics
The dynamics of ideal ferrofluids with internal rotation and frozen-in magnetization is discussed on the basis of Poisson brackets method. The magnetization relaxation equation is derived from requirement of irreversible thermodynamics that the local rate of entropy production is positive for arbitrary field deficiency.
In this paper the numerical simulation of surfactant dynamics in the topographically trapped long waves over a cylindrical shelf is described. Numerical modeling is based on the balance equation of the surface concentration. The dynamics of impurities was considered in the advection - diffusion - relaxation model. The comparison of different models of the shelf: endless slope, shelf - step concave exponential shelf has been made. It was established that the transverse bottom topography does not signifi cantly affect the geometry of the distribution of the pellicle, but it has an impact on the quantitative parameters of concentration. The infl uence of the number of mode on the concentration level for various models of the shelf was studied. The growth of the modes number increases the derivative concentration extremes from the equilibrium level.
A semiphenomenological model of the transport processes under the action of power energy sources is proposed. To explain the observed deviations of the linear system response to an external perturbation in the transport processes induced by intense energy fluxes, it is proposed to take into account the effect of inertia of the medium. The semiphenomenological model of processes is reduced to a system with two basis states. The techniques of the theory of microscopic objects for the solution of the system are applied. It is shown that the inertia of the medium is due to the finite time of establishing the equilibrium between the basis states.
Relaxation time is one of the most significant aspects of market liquidity. We study estimates of relaxation time of the limit order market after a shock triggered by sudden movement of price, large trade or news. We also provide formal definition of a shock on order-driven market.
Phenomenological model of temperature field evolution and effect of the relaxation processes caused by thermally activated defects and inertia of the medium on the thermal conductivity of solids under the action of intense energy flows is presented
A method based on the spectral analysis of thermowave oscillations formed under the effect of radiation of lasers operated in a periodic pulsed mode is developed for investigating the state of the interface of multilayered systems. The method is based on high sensitivity of the shape of the oscillating component of the pyrometric signal to adhesion characteristics of the phase interface. The shape of the signal is quantitatively estimated using the correlation coefficient (for a film–interface system) and the transfer function (for multilayered specimens).