Generalized Fokker-Planck Equation for the Modified Landau-Lifshitz Equation with Poisson White Noise

Author(s) S.I. Denisov, O.O. Bondar

Sumy State University, 2, Rimsky Korsakov Str., 40007 Sumy, Ukraine

Issue Volume 5, Year 2013, Number 3
Dates Received 04 February 2013; published online 17 October 2013
Citation S.I. Denisov, O.O. Bondar, J. Nano- Electron. Phys. 5 No 3, 03035 (2013)
PACS Number(s) 75.78. – n, 05.10.Cg, 05.40.Ca
Key words Stochastic Landau-Lifshitz equation, Poisson white noise, Probability density function, Generalized Fokker-Planck equation.
Annotation Using the modified stochastic Landau-Lifshitz equation driven by Poisson white noise, we derive the generalized Fokker-Planck equation for the probability density function of the nanoparticle magnetic moment. In our calculations we employ the Ito interpretation of stochastic equations and take into account the fact that the magnetic moment direction can be changed by this noise instantaneously. The analysis of the stationary solution of the generalized Fokker-Planck equation shows that the distribution of the free magnetic moment in Poisson white noise is not uniform. This feature of the stationary distribution arises from using the Ito interpretation of the stochastic Landau-Lifshitz equation.