Stationary distribution of stochastic nuclear spin generator systems

This paper discusses the stochastic nuclear spin generator systems under the in fluence of white noise. We prove the existence of a unique solution and a stationary distribution for stochastic nuclear spin generator systems. We analyze long-time behaviour of random attractor of the distributions of the solutions. Furthermore, we prove that the random attractor contains of only one point for particular parameters or can converge weakly to a stationary distribution. Numerical experiments illustrate the results.