The Transmission Property of the Discrete Heisenberg Ferromagnetic Spin Chain

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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16 pages, 7 figures

Scientific paper

10.1063/1.2976036

We present a mechanism for displaying the transmission property of the discrete Heisenberg ferromagnetic spin chain (DHF) via a geometric approach. By the aid of a discrete nonlinear Schr\"odinger-like equation which is the discrete gauge equivalent to the DHF, we show that the determination of transmitting coefficients in the transmission problem is always bistable. Thus a definite algorithm and general stochastic algorithms are presented. A new invariant periodic phenomenon of the non-transmitting behavior for the DHF, with a large probability, is revealed by an adoption of various stochastic algorithms.

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