S. C. Li, X. G. Li, F. Y. Shi, "Time-splitting methods with charge conservation for the nonlinear Dirac equation," Numerical Methods for Partial Differential Equations, vol. 33, no. 5, pp. 1582-1602, 2017.S. C. Li, X. G. Li, and F. Y. Shi, "Time-splitting methods with ...
Here, instead of discussing all these equations at one place, we shall consider two distinct cases—one static, in which the charges and the current do not change with time, and the other dynamic, in which they do vary. Then we shall explain each of these equations with their ...
where a complex representation of the field vectors is used, as explained in Section 1.7, and where the tilde over the complex quantities is dropped for brevity. In a nonconducting isotropic medium (in general, an inhomogeneous one) free of charge and current sources, the space-dependent fields...
The continuity equation can be derived from Maxwell's Equations. This says that the divergence of the electric current density is equal to the time-rate of charge build up or depletion.
The flow of electric charge is referred to as "electric current." Current is a measure of the movement of charged particles per unit of time. Although, once again, these particles are typically electrons. Electric current can be calculated using the electric current formula: I = V/R. This ...
1.The act or process of equating or of being equated. 2.The state of being equal. 3.MathematicsA statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign. ...
We propose a modified liquid drop potential model to explore the thermodynamics of quark–gluon plasma (QGP) above the critical temperature, both in the absence and presence of a magnetic field. The model follows Mayer's cluster expansion procedure. In this model, quarks and gluons are described...
In other words, Maxwell's equation of electromotive force is identical to what has become known as the Lorentz force equation for a moving unit electric charge. Reflections on Maxwell's Treatise He begins with a review of Maxwell's equation and discussion of the operation of antennas and antenn...
the propagation of sound being an example. A third example of a classical physical situation in which Eq. (1) gives a description of the phenomena is afforded by electromagnetic waves. In a region of space in which the charge and current densities are zero, Maxwell's equations for the photo...
Theequation of continuitycouples theelectromagnetic fieldsources (the charges and current densities) and can be readily derived from Maxwell equation(2.4). Taking the divergence of the Maxwell equation(2.4)yields (2.23)∇⋅(∇×H→)=∇⋅J→+∇⋅(∂D→∂t). ...