Thermally activated processes in magnetic systems consisting of rigid dipoles: equivalence of the Ito and Stratonovich stochastic calculus

We demonstrate that the Ito and the Stratonovich stochastic calculus lead to identical results when applied to the stochastic dynamics study of magnetic systems consisting of dipoles with the constant magnitude, despite the multiplicative noise appearing in the corresponding Langevin equations. The immediate consequence of this statement is that any numerical method used for the solution of these equations will lead to the physically correct results.