Damage Spreading in Random Field Systems

Author

Thomas Vojta, Missouri University of Science and TechnologyFollow

Abstract

We investigate how a quenched random field influences the damage-spreading transition in kinetic Ising models. To this end we generalize a recent master equation approach and derive an effective field theory for damage spreading in random-field systems. This theory is applied to the Glauber Ising model with a bimodal random-field distribution. We find that the random field influences the spreading transition by two different mechanisms with opposite effects. First, the random field favours the same particular direction of the spin variable at each site in both systems which reduces the damage. Second, the random field suppresses the magnetization which in turn tends to increase the damage. The competition between these two effects leads to a rich behaviour.

Recommended Citation

T. Vojta, "Damage Spreading in Random Field Systems," Journal of Physics A: Mathematical and General, vol. 30, no. 18, pp. L643 - L649, Institute of Physics - IOP Publishing, Sep 1997.

The definitive version is available at https://doi.org/10.1088/0305-4470/30/18/006

Department(s)

Physics

International Standard Serial Number (ISSN)

0305-4470

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 Institute of Physics - IOP Publishing, All rights reserved.

Publication Date

01 Sep 1997