Long time behaviour of a stochastic nano particle

Details Long time behaviour of a stochastic nano particle Long time behaviour of a stochastic nano particle

2012-03-20

arxiv.org/abs/1203.4377v1

Mathematics

Probability

Scientific paper

In this article, we are interested in the behaviour of a single ferromagnetic mono-domain particle submitted to an external field with a stochastic perturbation. This model is the first step toward the mathematical understanding of thermal effects on a ferromagnet. In a first part, we present the stochastic model and prove that the associated stochastic differential equation is well defined. The second part is dedicated to the study of the long time behaviour of the magnetic moment and in the third part we prove that the stochastic perturbation induces a non reversibility phenomenon. Last, we illustrate these results through numerical simulations of our stochastic model. The main results presented in this article are the rate of convergence of the magnetization toward the unique stable equilibrium of the deterministic model. The second result is a sharp estimate of the hysteresis phenomenon induced by the stochastic perturbation (remember that with no perturbation, the magnetic moment remains constant).

Affiliated with

Also associated with

No associations

Rating

Long time behaviour of a stochastic nano particle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Long time behaviour of a stochastic nano particle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long time behaviour of a stochastic nano particle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-494552