A Mathematical Study of a Model of Magnetic Domain Interactions

The subject of discrete magnetic domains in certain orthoferrite materials lias been under active investigation during the past several years, both from a theoretical physical viewpoint as well as that of the device-oriented physicist (for example, see Refs. 1-6). Considerable progress has resulted from these efforts, although needless to say, the end is certainly not in sight. Particular attention has been directed toward the problem of applying this new technology to the very important area of information processing devices, an area in which it seems to have natural and significant applications. 1,7 It is our intention in this paper to examine certain mathematical aspects of these applications for a simple model of magnetic domain interactions suggested by W. Shockley.