O. Atxitia, R. W. Chubykalo-fesenko, U. Chantrell, A. Nowak, and . Rebei, Ultrafast Spin Dynamics: The Effect of Colored Noise, Physical Review Letters, vol.102, issue.5, p.57203, 2009.
DOI : 10.1103/PhysRevLett.102.057203

W. Gardiner, Handbook of Stochastic Methods in Physics, Chemistry and Natural Sciences, 1998.

L. García-palacios and F. J. Lázaro, Langevin-dynamics study of the dynamical properties of small magnetic particles, Physical Review B, vol.58, issue.22, p.14937, 1998.
DOI : 10.1103/PhysRevB.58.14937

E. Shapiro and V. M. Loginov, Formulae of differentiation and their use for solving stochastic equations. Physica A: Statistical Mechanics and its Applications, pp.563-574, 1978.

K. Miyazaki and . Seki, Brownian motion of spins revisited, The Journal of Chemical Physics, vol.108, issue.17, pp.7052-7059, 1998.
DOI : 10.1063/1.476123

D. Thibaudeau and . Beaujouan, Thermostatting the atomic spin dynamics from controlled demons. Physica A: Statistical Mechanics and its Applications, pp.1963-1971, 2012.

F. Brown-jr, Thermal Fluctuations of a Single???Domain Particle, Journal of Applied Physics, vol.34, issue.4, pp.1319-1320, 1963.
DOI : 10.1063/1.1729489

E. Uhlenbeck and L. S. Ornstein, On the Theory of the Brownian Motion, Physical Review, vol.36, issue.5, pp.823-841, 1930.
DOI : 10.1103/PhysRev.36.823

G. Nicolis and . Nicolis, Closing the hierarchy of moment equations in nonlinear dynamical systems, Physical Review E, vol.58, issue.4, p.4391, 1998.
DOI : 10.1103/PhysRevE.58.4391

A. Garanin, V. V. Ishchenko, and L. V. Panina, Dynamics of an ensemble of single-domain magnetic particles, Theoretical and Mathematical Physics, vol.67, issue.2, pp.169-179, 1990.
DOI : 10.1007/BF01079045

N. Lewis and . Nigam, Geometric integration on spheres and some interesting applications, Journal of Computational and Applied Mathematics, vol.151, issue.1, pp.141-170, 2003.
DOI : 10.1016/S0377-0427(02)00743-4

P. Beaujouan, C. Thibaudeau, and . Barreteau, Anisotropic magnetic molecular dynamics of cobalt nanowires, Physical Review B, vol.86, issue.17, p.174409, 2012.
DOI : 10.1103/PhysRevB.86.174409

URL : https://hal.archives-ouvertes.fr/cea-01477524

P. Tranchida, S. Thibaudeau, and . Nicolis, Closing the hierarchy for non-Markovian magnetization dynamics, Physica B: Condensed Matter, vol.486, 2015.
DOI : 10.1016/j.physb.2015.10.012

URL : https://hal.archives-ouvertes.fr/hal-01159136

F. Fox, I. R. Gatland, R. Roy, and G. Vemuri, Fast, accurate algorithm for numerical simulation of exponentially correlated colored noise, Physical Review A, vol.38, issue.11, pp.385938-5940, 1988.
DOI : 10.1103/PhysRevA.38.5938

. Kleinert, Path integrals in quantum mechanics, statistics, polymer physics, and financial Markets, World Scientific, 2006.