Chaos in Spin Clusters: Correlation Functions and Spectral Properties

Authors

Niraj Srivastava
Charles Kaufman, University of Rhode IslandFollow
Gerhard Müller, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

4-15-1988

Abstract

We investigate dynamic correlation functions for a pair of exchange‐coupled classical spins with biaxial exchange and/or single‐site anisotropy. This represents a Hamiltonian system with two degrees of freedom for which we have previously established the integrability criteria. We discuss the impact of (non‐)integrability on the autocorrelation functions and their spectral properties. We point out the role of long‐time anomalies caused by low‐flux cantori, which dominate the convergence properties of time averages and determine the long‐time asymptotic behavior of autocorrelation functions in nonintegrable cases.

Citation/Publisher Attribution

Niraj Srivastava, Christoper Kaufman and Gerhard Müller. Chaos in spin clusters: correlation functions and spectral properties. J. Appl. Phys. 63 (1988), 4154-4156.

Available at: http://dx.doi.org/10.1063/1.340524

Publisher Statement

Copyright 1988 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/10.1063/1.340524.