Physical Review B 34, 1937-1939 (1986)
Abstract of the article

Dynamics of the classical Heisenberg ferromagnet


J.A. Hołyst 1 and Ł.A. Turski 2
1 Institute of Physics, Warsaw Technical University, Koszykowa 75, 00-662 Warsaw, Poland
2 Institute for Theoretical Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland

Dynamical properties of a classical anisotropic Heisenberg ferromagnet are analyzed by means of the stereographic representation for spin variables. The Gilbert damping term is included, and the failure of the complex time rescaling to account for damped solutions is shown. It is argued that the stereographic projection approach allows for formulating the damped Heisenberg ferromagnet dynamics within the mixed canonical-dissipative method. Finally the Benjamin-Fair instability of the finite-amplitude spin waves in the anisotropic Heisenberg chain is discussed.