Deterministic and Stochastic Spin Diffusion in Classical Heisenberg Magnets

Authors

Jian-Min Liu, University of Rhode Island
Niraj Srivastava, University of Rhode Island
V. S. Viswanath, University of Rhode Island
Gerhard Müller, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

11-15-1991

Abstract

This computer simulation study provides further evidence that spin diffusion in the one‐dimensional classical Heisenberg model at T=∞ is anomalous: 〈S _j ( t )⋅S _j 〉 ∼t ^{−α ₁} withα₁ ≳1/2. However, the exponential instability of the numerically integrated phase‐space trajectories transforms the deterministic transport of spin fluctuations into a computationally generated stochastic process in which the global conservation laws are still satisfied to high precision. This may cause a crossover in 〈S _j ( t )⋅S _j 〉 from anomalous spin diffusion (α₁ ≳ 1/2) to normal spin diffusion (α₁ = 1/2) at some characteristic time lag that depends on the precision of the numerical integration.

Citation/Publisher Attribution

Jian-Min Liu, Niraj Srivastava, V.S. Viswanath and Gerhard Müller. Deterministic and stochastic spin diffusion in classical Heisenberg magnets. J. Appl. Phys. 70 (1991), 6181-6183.

Available at: http://dx.doi.org/10.1063/1.350037

Publisher Statement

Copyright 1991 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

The following article appeared in Journal of Applied Physics and may be found at http://dx.doi.org/10.1063/1.350037.