Integral equation approach to time-dependent kinematic dynamos in finite domains.

@article{Xu2004IntegralEA,
title={Integral equation approach to time-dependent kinematic dynamos in finite domains.},
author={Mingtian Xu and Frank Stefani and Gunter Gerbeth},
journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
year={2004},
volume={70 5 Pt 2},
pages={056305}
}

The homogeneous dynamo effect is at the root of cosmic magnetic field generation. With only a very few exceptions, the numerical treatment of homogeneous dynamos is carried out in the framework of the differential equation approach. The present paper tries to facilitate the use of integral equations in dynamo research. Apart from the pedagogical value to illustrate dynamo action within the well-known picture of the Biot-Savart law, the integral equation approach has a number of practical… CONTINUE READING