Stationary distribution of stochastic nuclear spin generator systems

Volume 9, Issue 9, pp 5410--5427 http://dx.doi.org/10.22436/jnsa.009.09.10

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Authors

Zaitang Huang - Yangtze Center of Mathematics and Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P. R. China.

Abstract

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.

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Keywords

• Existence of a unique solution
• stationary distribution
• random attractor
• invariant measure
• nuclear spin generator.

MSC

•  60H10
•  34K50

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