Topic
Scalar potential
About: Scalar potential is a research topic. Over the lifetime, 3642 publications have been published within this topic receiving 78868 citations. The topic is also known as: potential.
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TL;DR: In this article, a method for voltage-driven problems which may contain conducting regions in which eddy currents would be induced was described, which uses a single reduced scalar potential coupled with the magnetic field vector in conducting regions.
Abstract: The authors describe a method for voltage-driven problems which may contain conducting regions in which eddy currents would be induced. These regions may be multiply connected. The method uses a single reduced scalar potential coupled with the magnetic field vector in conducting regions. The approach is verified by solving the 'jumping ring' and 'bath plate' problems. >
23 citations
TL;DR: In this paper, an integral method using the magnetic scalar potential to solve nonlinear magnetostatic problems is developed, which is particularly well suited to compute field in the air domain which do not need to be meshed.
Abstract: An integral method using the magnetic scalar potential to solve nonlinear magnetostatic problems is developed. This method uses the range interactions between magnetizable elements and it is particularly well suited to compute field in the air domain which do not need to be meshed. The collocation and Galerkin approaches are presented and compared to solve the nonlinear magnetostatic equation. Both methods need the construction of full interaction matrices which may be computed with analytical formulae. A Newton-Raphson method, in which the interaction matrix must be built at each solver iteration, is used to solve the nonlinear formulation. A modified fixed point scheme, in which the interaction matrix is built only once, is also proposed. 3-D numerical examples are given and results of the different methods are compared.
23 citations
TL;DR: In this paper, the authors studied the properties of the boson shells and boson stars in a theory of complex scalar field coupled to the electromagnetic field and gravity in a conical potential.
Abstract: We study boson shells and boson stars in a theory of complex scalar field coupled to the $U(1)$ gauge field $A_{\mu}$ and Einstein gravity with the potential: $V(|\Phi|) := \frac{1}{2} m^{2} \left(|\Phi|+ a \right)^2$. This could be considered either as a theory of massive complex scalar field coupled to electromagnetic field and gravity in a conical potential or as a theory in the presence of a potential which is an overlap of a parabolic and a conical potential. Our theory has a positive cosmological constant $(\Lambda := 4 \pi G m^2 a^2)$. Boson stars are found to come in two types, having either ball-like or shell-like charge density. We have studied the properties of these solutions and have also determined their domains of existence for some specific values of the parameters of the theory. Similar solutions have also been obtained by Kleihaus, Kunz, Laemmerzahl and List, in a V-shaped scalar potential.
23 citations
TL;DR: In this article, a class of solutions for a homogeneous and isotropic universe in which the initially expanding universe stops expanding, experiences contraction, and then expands again (the ''bounce''), in the framework of Einstein gravity with a real scalar field without violating the null energy condition nor encountering any singularities.
23 citations
TL;DR: In this paper, it was shown that an arbitrarily chosen time-dependent current density is generically non-representable in a many-particle system, i.e., it cannot be obtained by applying only a time dependent scalar potential to the system.
Abstract: We argue that an arbitrarily chosen time-dependent current density is generically non-Vrepresentable in a many-particle system, i.e., it cannot be obtained by applying only a time dependent scalar potential to the system. Furthermore we show by a concrete example that even a current that is V-representable in an interacting many-particle system may (and in general will) turn out to be non-V-representable when the interaction between the particles is turned off.
23 citations