L. Dudarev, R. Bullough, and P. M. Derlet, Phase Transition on the Stability of Dislocation Loops in bcc Iron, Physical Review Letters, vol.100, issue.13, p.135503, 2008.
DOI : 10.1103/PhysRevLett.100.135503

F. Sabiryanov and S. S. Jaswal, Magnons and Magnon-Phonon Interactions in Iron, Physical Review Letters, vol.83, issue.10, p.2062, 1999.
DOI : 10.1103/PhysRevLett.83.2062

O. G. Rossi, A. H. Heinonen, and . Macdonald, Dynamics of magnetization coupled to a thermal bath of elastic modes, Physical Review B, vol.72, issue.17, p.174412, 2005.
DOI : 10.1103/PhysRevB.72.174412

A. Turski, Classical particles with spin-possible formulation of many-particle dynamics, Physical Review A, vol.30, issue.5, p.2779, 1984.
DOI : 10.1103/PhysRevA.30.2779

P. Antropov, M. I. Katsnelson, M. Van-schilfgaarde, and B. N. Harmon, Spin Dynamics in Magnets, Physical Review Letters, vol.75, issue.4, p.729, 1995.
DOI : 10.1103/PhysRevLett.75.729

P. Antropov, M. I. Katsnelson, B. N. Harmon, M. Van-schilfgaarde, and D. Kusnezov, Spin dynamics in magnets: Equation of motion and finite temperature effects, Physical Review B, vol.54, issue.2, p.1019, 1996.
DOI : 10.1103/PhysRevB.54.1019

Y. Akbar, N. Kakehashi, and . Kimura, Molecular dynamics method to itinerant magnets with complex magnetic structure, Journal of Applied Physics, vol.81, issue.8, p.3862, 1997.
DOI : 10.1063/1.364734

M. Steiauf and . Fähnle, study, Physical Review B, vol.72, issue.6, p.64450, 2005.
DOI : 10.1103/PhysRevB.72.064450

L. Dudarev and P. M. Derlet, A ???magnetic??? interatomic potential for molecular dynamics simulations, Journal of Physics: Condensed Matter, vol.17, issue.44, p.7097, 2005.
DOI : 10.1088/0953-8984/17/44/003

E. Carpene, C. Mancini, M. Dallera, E. Brenna, S. Puppin et al., Dynamics of electron-magnon interaction and ultrafast demagnetization in thin iron films, Physical Review B, vol.78, issue.17, p.174422, 2008.
DOI : 10.1103/PhysRevB.78.174422

U. Kazantseva, R. W. Nowak, J. Chantrell, A. Hohlfeld, and . Rebei, Slow recovery of the magnetisation after a sub-picosecond heat pulse, EPL (Europhysics Letters), vol.81, issue.2, p.27004, 2008.
DOI : 10.1209/0295-5075/81/27004

P. Omelyan, I. M. Mryglod, and R. Folk, Optimized Verlet-like algorithms for molecular dynamics simulations, Physical Review E, vol.65, issue.5, p.56706, 2002.
DOI : 10.1103/PhysRevE.65.056706

P. Omelyan, I. M. Mryglod, and R. Folk, Optimized Forest???Ruth- and Suzuki-like algorithms for integration of motion in many-body systems, Computer Physics Communications, vol.146, issue.2, p.188, 2002.
DOI : 10.1016/S0010-4655(02)00451-4

P. Omelyan, I. M. Mryglod, and R. Folk, Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations, Computer Physics Communications, vol.151, issue.3, p.272, 2003.
DOI : 10.1016/S0010-4655(02)00754-3

P. Omelyan, W. Fenz, I. M. Mryglod, and R. Folk, Spin Fluid in an External Magnetic Field, Physical Review Letters, vol.94, issue.4, p.45701, 2005.
DOI : 10.1103/PhysRevLett.94.045701

W. Ma, C. H. Woo, and S. L. Dudarev, High-temperature dynamics of surface magnetism in iron thin films, Philosophical Magazine, vol.89, issue.32, p.2921, 2009.
DOI : 10.1016/j.jnucmat.2009.02.003

P. W. Ma and C. H. Woo, Parallel algorithm for spin and spin-lattice dynamics simulations, Physical Review E, vol.79, issue.4, pp.46703-1291, 1988.
DOI : 10.1103/PhysRevE.79.046703

URL : http://ira.lib.polyu.edu.hk/bitstream/10397/5086/1/Ma_Parallel_Algorithm_Spin.pdf

W. Ma, C. H. Woo, and S. L. Dudarev, Large-scale simulation of the spin-lattice dynamics in ferromagnetic iron, Physical Review B, vol.78, issue.2, p.24434, 2008.
DOI : 10.1103/PhysRevB.78.024434

V. Halilov, H. Eschrig, A. Y. Perlov, and P. M. Oppeneer, Adiabatic spin dynamics from spin-density-functional theory: Application to Fe, Co, and Ni, Physical Review B, vol.58, issue.1, p.293, 1998.
DOI : 10.1103/PhysRevB.58.293

P. Omelyan, I. M. Mryglod, and R. Folk, Algorithm for Molecular Dynamics Simulations of Spin Liquids, Physical Review Letters, vol.86, issue.5, p.898, 2001.
DOI : 10.1103/PhysRevLett.86.898

H. Victora and J. M. Maclaren, Theory of magnetic interface anisotropy, Physical Review B, vol.47, issue.17, p.11583, 1993.
DOI : 10.1103/PhysRevB.47.11583

G. Tolédano, M. Krexner, H. P. Prem, V. P. Weber, and . Dmitriev, Theory of the martensitic transformation in cobalt, Physical Review B, vol.64, issue.14, p.144104, 2001.
DOI : 10.1103/PhysRevB.64.144104

T. Moriya, Anisotropic Superexchange Interaction and Weak Ferromagnetism, Physical Review, vol.120, issue.1, p.91, 1960.
DOI : 10.1103/PhysRev.120.91

G. Heide, S. Bihlmayer, and . Blugel, Describing Dzyaloshinskii???Moriya spirals from first principles, Physica B: Condensed Matter, vol.404, issue.18, p.2678, 2009.
DOI : 10.1016/j.physb.2009.06.070

J. D. Thibaudeau and . Gale, An embedded-atom method model for liquid Co, Nb, Zr and supercooled binary alloys, 2008.

H. Goyhenex and . Bulou, Theoretical insight in the energetics of Co adsorption on a reconstructed Au(111) substrate, Physical Review B, vol.63, issue.23, p.235404, 2001.
DOI : 10.1103/PhysRevB.63.235404

S. G. Bauer, P. Mavropoulos, S. Louinis, and S. Blugel, Thermally activated magnetization reversal in monatomic magnetic chains on surfaces studied by classical atomistic spin-dynamics simulations, Journal of Physics: Condensed Matter, vol.23, issue.39, p.394204, 2011.
DOI : 10.1088/0953-8984/23/39/394204

J. Pajda, I. Kudrnovsky, V. Turek, P. Drchal, and . Bruno, calculations of exchange interactions, spin-wave stiffness constants, and Curie temperatures of Fe, Co, and Ni, Physical Review B, vol.64, issue.17, p.174402, 2001.
DOI : 10.1103/PhysRevB.64.174402

S. Sipr, J. Bornemann, S. Minar, V. Polesya, A. Popescu et al., Magnetic moments, exchange coupling, and crossover temperatures of Co clusters on Pt(111) and Au(111), Journal of Physics: Condensed Matter, vol.19, issue.9, p.96203, 2007.
DOI : 10.1088/0953-8984/19/9/096203

. Skomski, Simple Models of Magnetism, 2008.
DOI : 10.1093/acprof:oso/9780198570752.001.0001

B. Staunton, L. Szunyogh, A. Buruzs, B. L. Gyorffy, S. Ostanin et al., approach, Physical Review B, vol.74, issue.14, p.144411, 2006.
DOI : 10.1103/PhysRevB.74.144411

C. Autes, D. Barreteau, M. Spanjaard, and . Desjonqures, Magnetism of iron: from the bulk to the monatomic wire, Journal of Physics: Condensed Matter, vol.18, issue.29, p.6785, 2006.
DOI : 10.1088/0953-8984/18/29/018

H. Yang and J. O. Hirschfelder, Generalizations of classical Poisson brackets to include spin, Physical Review A, vol.22, issue.5, p.1814, 1980.
DOI : 10.1103/PhysRevA.22.1814

J. Oteo and . Ros, The Magnus expansion for classical Hamiltonian systems, Journal of Physics A: Mathematical and General, vol.24, issue.24, p.5751, 1991.
DOI : 10.1088/0305-4470/24/24/011

G. Maclachlan and . Quispel, Geometric integrators for ODEs, Journal of Physics A: Mathematical and General, vol.39, issue.19, p.5251, 2006.
DOI : 10.1088/0305-4470/39/19/S01

B. Dullweber, R. Leimkuhler, and . Mclachlan, Symplectic splitting methods for rigid body molecular dynamics, The Journal of Chemical Physics, vol.107, issue.15, p.5840, 1997.
DOI : 10.1063/1.474310

P. Omelyan, I. M. Mryglod, and R. Folk, SPIN DYNAMICS SIMULATIONS OF COLLECTIVE EXCITATIONS IN MAGNETIC LIQUIDS, Condensed Matter Physics, vol.3, issue.3, p.497, 2000.
DOI : 10.5488/CMP.3.3.497

P. Omelyan, I. M. Mryglod, and R. Folk, Molecular dynamics simulations of spin and pure liquids with preservation of all the conservation laws, Physical Review E, vol.64, issue.1, p.16105, 2001.
DOI : 10.1103/PhysRevE.64.016105

W. Ma, W. C. Liu, C. H. Woo, and S. L. Dudarev, Large-scale molecular dynamics simulation of magnetic properties of amorphous iron under pressure, Journal of Applied Physics, vol.101, issue.7, p.73908, 2007.
DOI : 10.1063/1.2715753

J. C. Berendsen, J. P. Postma, W. F. Van-gunsteren, A. Dinola, and J. R. Haak, Molecular dynamics with coupling to an external bath, The Journal of Chemical Physics, vol.81, issue.8, p.3684, 1984.
DOI : 10.1063/1.448118

C. Andersen, Molecular dynamics simulations at constant pressure and/or temperature, The Journal of Chemical Physics, vol.72, issue.4, p.2384, 1980.
DOI : 10.1063/1.439486

S. Nosé, A unified formulation of the constant temperature molecular dynamics methods, The Journal of Chemical Physics, vol.81, issue.1, p.511, 1984.
DOI : 10.1063/1.447334

. G. Hoover, Canonical dynamics: Equilibrium phase-space distributions, Physical Review A, vol.31, issue.3, p.1695, 1985.
DOI : 10.1103/PhysRevA.31.1695

T. Arponen, B. Leimkuhler, and . Num, 63 P. Thibaudeau and D. Beaujouan, Physica A 391, Math. W. F. Brown, Phys. Rev. Phys. Rev. E, vol.44, issue.82, pp.403-1677, 1963.

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

B. Nurdin and K. D. Schotte, Dynamical temperature for spin systems, Physical Review E, vol.61, issue.4, p.3579, 2000.
DOI : 10.1103/PhysRevE.61.3579

S. Giannozzi, N. Baroni, M. Bonini, R. Calandra, C. Car et al., QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials, Journal of Physics: Condensed Matter, vol.21, issue.39, p.395502, 2009.
DOI : 10.1088/0953-8984/21/39/395502

URL : https://hal.archives-ouvertes.fr/hal-00717147

A. Gambardella, K. Dallmeyer, M. Maiti, W. Malagoli, K. Eberhardt et al., Ferromagnetism in one-dimensional monatomic metal chains, Nature, vol.78, issue.6878, p.301, 2002.
DOI : 10.1038/416301a

C. Stoner and E. P. Wolhlfarth, A Mechanism of Magnetic Hysteresis in Heterogeneous Alloys, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.240, issue.826, p.599, 1948.
DOI : 10.1098/rsta.1948.0007

G. Baud, S. Bihlmayer, C. Blugel, and . Ramseyera, First-principles investigation of Co wires at Pt(111) step-edges, Surface Science, vol.600, issue.18, p.4301, 2006.
DOI : 10.1016/j.susc.2006.01.157

M. Yuzhelevski, G. Yuzhelevski, and . Jung, Random telegraph noise analysis in time domain, Review of Scientific Instruments, vol.71, issue.4, p.1681, 2000.
DOI : 10.1063/1.1150519

O. N. Nowak, R. Mryasov, K. Wieser, and R. W. Guslienko, Spin dynamics of magnetic nanoparticles: Beyond Brown???s theory, Physical Review B, vol.72, issue.17, p.172410, 2005.
DOI : 10.1103/PhysRevB.72.172410