The electrokinetic forces are included into the flow equations so that the Poisson Boltzmann and electric charge continuity equations are cast into forms suitable for SPM.
Inset (a): the electric displacement continuity equation at ferroelectric-graphene interface.
Due to the much larger absolute value of Re(ε z) than that of Re(ε x), considering the continuity of electric field E x along x and electric displacement field ε i·E z (i = 1 or z) along z at z = 0, the electric field component E z could be kept smaller than E x even though the dielectric permittivity ε 1 is increased a lot.
The continuity of electric current through the resistivity contacts can yield the discontinuity of electric field, and the resultant boundary charge will be induced at the resistivity contacts as sources for secondary electric field, which amplify the land electric field.
The interface between two materials can be either perfectly bonded, namely type A, so that the continuity of electric displacements holds, or a thin electrode, namely type B, so that the electric potential is grounded.
If one equates the dependence of Tg on the magnitude of the electric field via (i) volume continuity and (ii) entropy continuity, it is possible to obtain the electric-field analog of the Prigogine Defay equality, in which thermophysical properties and discontinuous observables at the zero-field and field-dependent second-order phase transition temperatures are related.
In this paper, control schemes of utility interactive Multifunctional Dispersed Generation (MDG) are proposed to improve the power quality and the continuity of the electric power supply.
It is also designed to serve a local load for improving the power quality and the continuity of the electric power supply when it is isolated from the power gird.
These expressions are used to calculate the very close-range electric fields in the monopole (Continuity Equation) technique in terms of the retarded current and charge density along the tower and lightning channel and their results are compared with those calculated from the traditional dipole (Lorentz Condition) technique in terms of the retarded current along the tower and lightning channel.
The method is mass conservative and, in the case that piecewise constant functions are used as a basis, the method preserves the positivity of the electron distribution function and weakly enforces continuity of the electric field through mesh interfaces and boundary conditions.
