The integral transport equation for the flux density in the interior of an infinite homogeneous cylinder is reduced to a matrix eigenvalue problem for the critical cylinder and a set of linear algebraic equations for the driven case with surface in-currents. The matrix elements are identified as ...
We then construct the energy balance equation for the particles based on the thermodynamic description of the system. We also analyze the flux density of cascade particles, its stationary value, and its evolution.doi:10.1007/BF02551036Yu. A. Kashlev...
The capabilities of theVariable Information Palettehave been increased. Left-clicking on a variable in the palette will bring up the Variable Information dialog for the selected variable. If the Ctrl key is depressed, left-clicking will insert the variable into the Equations window at the cursor p...
The state equation for an ideal gas connects the molar concentration c and pressure p, c = p/RT. The density of a gas is the product of the molar concentration, c, and the molecular weight,ρ = Mc. Instead of the velocity, u, we introduced the mass flux density in the form M = ...
For the above equations to be valid, the medium should have a uniform property that is linear, homogeneous, and isotropic. Linearity means the electric flux density D is directly proportional to the electric field intensity (D = εE) and magnetic flux density B is directly proportional to the...
Specifically, we introduce the density and flux of Fisher information for general types of wave fields and identify the corresponding sources and sinks of information through which all these new quantities satisfy a fundamental continuity equation. We experimentally verify our theoretical predictions by ...
HereEis the electric field strength andBis the magnetic flux density; they are both vectors in ordinary space. The parametercis the speed of light in vacuum.SeeElectromagnetic radiation,Maxwell's equations The nonrelativistic Schrödinger equation is an example of a quantum wave equation. Relativistic...
Compute a magnetic flux density in a ferromagnetic frame with nonlinear relative permeability. Current Density Between Two Metallic Conductors Find the electric potential and the components of the current density between two circular metallic conductors. ...
Based on equivalence principle, the volume integral equation (VIE) in terms of volume electric and magnetic flux densities and surface integral equation (SIE) in terms of surface electric current density are first formulated for inhomogeneous bi-isotropic and conducting objects, respectively, and then...
For this, we are going to assume that the density depends only on the time-type variable, as explained in [6, 32] we can write the state equation for the Schwarzschild type model as Relativistic Model for Radiating Spherical Collapse