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Heisenberg chain systems from compact manifolds into \(S^2\). (English) Zbl 0938.58017

Summary: It is shown that the initial value problems of Heisenberg spin chain systems with external magnetic field from compact Riemannian manifolds into \(S^2\) admit global weak solutions.

MSC:

58E50 Applications of variational problems in infinite-dimensional spaces to the sciences
82C21 Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics
82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
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[1] DOI: 10.1016/0375-9601(74)90447-2 · doi:10.1016/0375-9601(74)90447-2
[2] DOI: 10.1103/PhysRevB.15.3470 · doi:10.1103/PhysRevB.15.3470
[3] Zhou Y. L., Sci. Sinica A 34 pp 257– (1991)
[4] Zhou Y. L., Sci. Sinica A 27 pp 1251– (1987)
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