Kinematic dynamo, supersymmetry breaking, and chaos

@article{Ovchinnikov2016KinematicDS,
  title={Kinematic dynamo, supersymmetry breaking, and chaos},
  author={I. Ovchinnikov and T. Ensslin},
  journal={Physical Review D},
  year={2016},
  volume={93},
  pages={085023}
}
The kinematic dynamo (KD) describes the growth of magnetic fields generated by the flow of a conducting medium in the limit of vanishing backaction of the fields onto the flow. The KD is therefore an important model system for understanding astrophysical magnetism. Here, the mathematical correspondence between the KD and a specific stochastic differential equation (SDE) viewed from the perspective of the supersymmetric theory of stochastics (STS) is discussed. The STS is a novel, approximation… Expand
8 Citations

Figures from this paper

Supersymmetric theory of stochastic ABC model
  • 2
  • PDF
Introduction to Supersymmetric Theory of Stochastics
  • 26
  • PDF
Criticality or Supersymmetry Breaking?
  • 1
  • PDF
Chaos as a symmetry-breaking phenomenon
  • 3
Linear optical approach to supersymmetric dynamics
  • PDF
Topological field theory and computing with instantons
  • 23
  • PDF
Stochastic Dynamics and Combinatorial Optimization
  • 4
  • PDF
An Inexact Inverse Power Method for Numerical Analysis of Stochastic Dynamic Systems
  • Highly Influenced
  • PDF

References

SHOWING 1-10 OF 90 REFERENCES
Introduction to Supersymmetric Theory of Stochastics
  • 26
  • PDF
Topological sigma models
  • 872
  • PDF
Topological field theory of dynamical systems. II.
  • 5
  • PDF
An Earth-like numerical dynamo model
  • 398
Kinematic dynamo models
  • P. Roberts
  • Physics
  • Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1972
  • 246
...
1
2
3
4
5
...