Journal
PHYSICAL REVIEW B
Volume 83, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.83.134418
Keywords
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Funding
- European Communities
- RCUK [EP/I501045]
- EPSRC [EP/H018921/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/H018921/1] Funding Source: researchfish
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Microscopic stochastic Langevin-type spin dynamics equations provide a convenient and tractable model describing the relaxation of spin and spin-lattice ensembles. We develop a robust and numerically stable algorithm for integrating the Langevin spin dynamics equations, and explore, both numerically and analytically, a range of applications of the method. We show that the algorithm conserves the magnitude of the spin vector irrespectively of the amplitude of the thermal noise. Using the Furutsu-Novikov theorem, we derive a system of deterministic differential equations for the ensemble-average moments of solutions of the Langevin spin dynamics equations, and explore the dynamics of relaxation of a spin ensemble toward the equilibrium Gibbs distribution. Analytical solutions of the moments equations make it possible to estimate the time scales of spin thermalization and spin-spin self-correlation, which we investigate as functions of the damping parameter and temperature.
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