Twinlike Models for Self-Dual Maxwell-Higgs Theories

In this work we present a theoretical framework that allows for the existence of coherent twinlike models in the context of self-dual Maxwell-Higgs theories. We verify the consistence of this framework by using it to develop some twinlike self-dual Maxwell-Higgs models. We use a combination of theoretical and numerical techniques to show that these models exhibit the very same topological BPS structures, including their field configurations and total energy. The study shows that it is possible to develop a completely consistent prescription, which extends the idea of twinlike models to the case of vortices in Maxwell-Higgs theories.Comment: 7 pages, 3 figures; version to appear in PR

Compact vortex in a generalized Born-Infeld model

We study vortexlike solutions in a generalized Born-Infeld model. The model is driven by two distinct parameters, one which deals with the Born-Infeld term, and the other, which controls the presence of high-order power term in the covariant derivative of the Higgs field. We numerically solve the equations of motion and depict the main vortex features, for several values of the two parameters of the model. The results indicate the presence of compact vortex, when the parameter responsible for the high-order power in the derivative increases to sufficiently large values.Comment: 6 pages, 6 figures; version to appear in PR

Topological first-order solitons in a gauged CP(2)CP(2) model with the Maxwell-Chern-Simons action

We verify the existence of radially symmetric first-order solitons in a gauged $CP(2)$ scenario in which the dynamics of the Abelian gauge field is controlled by the Maxwell-Chern-Simons action. We implement the standard Bogomol'nyi-Prasad-Sommerfield (BPS) formalism, from which we obtain a well-defined lower bound for the corresponding energy (i.e. the Bogomol'nyi bound) and the first-order equations saturating it. We solve these first-order equations numerically by means of the finite-difference scheme, therefore obtaining regular solutions of the effective model, their energy being quantized according the winding number rotulating the final configurations, as expected. We depict the numerical solutions, whilst commenting on the main properties they engender.Comment: 8 pages, 9 figure

Nutrient Sources and Transport in the Central Region of the Big Sioux River, South Dakota

Concentration and flow of total phosphate (TP), total organic nitrogen (TON), and total organic carbon (TOC) were measured from November 9, 1971 to November 8, 1972 on the Big Sioux River, Six Mile-North Deer Creek, and Drainage M. The Big Sioux River transported 418,640 x 10 3 m3 of water, 776,880 kg TP, 599,590 kg TON, and 5,419,580 kg TOC during the study-year. Six Mile Creek transported 23,900 x 10 3 m 3 of water, 52,040 kg TP, 43,580 kg TON, and 327,860 kg of TOC. The transport of water and nutrients in Six Mile Creek per square kilometer of drainage area was 121 x 10 3 m3 of water, 264 kg TP, 221 kg TON, and 1,664 kg TOC. North Deer Creek transported 36,330 x 103 m3 of water, 66,980 kg TP, 54,400 kg TON, and 493,920 kg TOC, representing 114 x 10 3 m3 of water, 209 kg TP, 171 kg TON, and 1,548 kg TOC per square kilometer of drainage area. Drainage M during the study-year transported 1,290 x 10 3 m3 of water, 1,830 kg TP, 1,400 kg TON, and 14,260 kg TOC, representing 81 x 10 3 m3 of water, 114 kg TP, 88 kg TON, and 891 kg of TOC per square kilometer of drainage area. The contribution of nutrients and water to Six Mile Creek by Brookings, South Dakota was 4,590 x 10 3 m3 of water, 77,640 kg TP, 9,740 kg TON, and 76,020 kg TOC. This amounted to a contribution of 0.33 x I0 3 m3 of water, 5, 66 kg TP, 0.71 kg TON, and 5.54 kg TOC per person

Topological vortices in generalized Born-Infeld-Higgs electrodynamics

A consistent BPS formalism to study the existence of topological axially symmetric vortices in generalized versions of the Born-Infeld-Higgs electrodynamics is implemented. Such a generalization modifies the field dynamics via introduction of three non-negative functions depending only in the Higgs field, namely, $G(|\phi|)$, $w(|\phi|)$ and $V(|\phi|)$. A set of first-order differential equations is attained when these functions satisfy a constraint related to the Ampere law. Such a constraint allows to minimize the system energy in such way that it becomes proportional to the magnetic flux. Our results provides an enhancement of topological vortex solutions in Born-Infeld-Higgs electrodynamics. Finally, we analyze a set of models such that a generalized version of Maxwell-Higgs electrodynamics is recovered in a certain limit of the theory.Comment: 8 pages, 8 figures, to appear in EPJ

Nontopological self-dual Maxwell-Higgs vortices

We study the existence of self-dual nontopological vortices in generalized Maxwell-Higgs models recently introduced in Ref. \cite{gv}. Our investigation is explicitly illustrated by choosing a sixth-order self-interaction potential, which is the simplest one allowing the existence of nontopological structures. We specify some Maxwell-Higgs models yielding BPS nontopological vortices having energy proportional to the magnetic flux, $\Phi_{B}$, and whose profiles are numerically achieved. Particularly, we investigate the way the new solutions approach the boundary values, from which we verify their nontopological behavior. Finally, we depict the profiles numerically found, highlighting the main features they present.Comment: 6 pages, 4 figure