Mesoscopic rings driven by time-dependent magnetic flux: Level correlations and localization in energy space

1990 ◽  
Vol 41 (7) ◽  
pp. 4441-4455 ◽  
Author(s):  
Dror Lubin ◽  
Yuval Gefen ◽  
Isaac Goldhirsch
2013 ◽  
Vol 8 (S300) ◽  
pp. 127-134 ◽  
Author(s):  
Adriaan A. van Ballegooijen ◽  
Yingna Su

AbstractRecent observations and models of solar prominences are reviewed. The observations suggest that prominences are located in or below magnetic flux ropes that lie horizontally above the PIL. However, the details of the magnetic structure are not yet fully understood. Gravity likely plays an important role in shaping the vertical structures observed in quiescent prominences. Preliminary results from a time-dependent model describing the interaction of a magnetic flux rope with photospheric magnetic elements are presented.


2013 ◽  
Vol 103 (5) ◽  
pp. 58005 ◽  
Author(s):  
Shengli Zhang ◽  
Huawei Chen ◽  
Erhu Zhang ◽  
Daqing Liu
Keyword(s):  

2018 ◽  
Vol 8 ◽  
pp. A26 ◽  
Author(s):  
Paolo Pagano ◽  
Duncan Hendry Mackay ◽  
Anthony Robinson Yeates

Context. In recent years, space weather research has focused on developing modelling techniques to predict the arrival time and properties of coronal mass ejections (CMEs) at the Earth. The aim of this paper is to propose a new modelling technique suitable for the next generation of Space Weather predictive tools that is both efficient and accurate. The aim of the new approach is to provide interplanetary space weather forecasting models with accurate time dependent boundary conditions of erupting magnetic flux ropes in the upper solar corona. Methods. To produce boundary conditions, we couple two different modelling techniques, MHD simulations and a quasi-static non-potential evolution model. Both are applied on a spatial domain that covers the entire solar surface, although they extend over a different radial distance. The non-potential model uses a time series of observed synoptic magnetograms to drive the non-potential quasi-static evolution of the coronal magnetic field. This allows us to follow the formation and loss of equilibrium of magnetic flux ropes. Following this a MHD simulation captures the dynamic evolution of the erupting flux rope, when it is ejected into interplanetary space. Results.The present paper focuses on the MHD simulations that follow the ejection of magnetic flux ropes to 4 R⊙. We first propose a technique for specifying the pre-eruptive plasma properties in the corona. Next, time dependent MHD simulations describe the ejection of two magnetic flux ropes, that produce time dependent boundary conditions for the magnetic field and plasma at 4 R⊙ that in future may be applied to interplanetary space weather prediction models. Conclusions. In the present paper, we show that the dual use of quasi-static non-potential magnetic field simulations and full time dependent MHD simulations can produce realistic inhomogeneous boundary conditions for space weather forecasting tools. Before a fully operational model can be produced there are a number of technical and scientific challenges that still need to be addressed. Nevertheless, we illustrate that coupling quasi-static and MHD simulations in this way can significantly reduce the computational time required to produce realistic space weather boundary conditions.


2016 ◽  
Vol 30 (12) ◽  
pp. 1650122 ◽  
Author(s):  
I. A. Pedrosa ◽  
E. Nogueira ◽  
I. Guedes

We discuss the problem of a mesoscopic LC circuit with a negative inductance ruled by a time-dependent Hermitian Hamiltonian. Classically, we find unusual expressions for the Faraday’s law and for the inductance of a solenoid. Quantum mechanically, we solve exactly the time-dependent Schrödinger equation through the Lewis and Riesenfeld invariant operator method and construct Gaussian wave packet solutions for this time-dependent LC circuit. We also evaluate the expectation values of the charge and the magnetic flux in these Gaussian states, their quantum fluctuations and the corresponding uncertainty product.


Solar Physics ◽  
2014 ◽  
Vol 289 (11) ◽  
pp. 4105-4115 ◽  
Author(s):  
A. Williamson ◽  
R. Erdélyi

2012 ◽  
Vol 26 (04) ◽  
pp. 1150021
Author(s):  
ALEXANDRE G. M. SCHMIDT ◽  
BRUNO N. MARTINS

In this work, we study the time evolution of a quantum rotor with spin-1/2 interacting with a time-dependent magnetic flux. Choosing an adequate magnetic flux and applying it at certain special switching times ti and tf, we show how to drive a wave-packet from a starting position to a final one maximizing its probability.


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