UNSPECIFIED. (1991) SPIRAL-PATTERN FORMATION AND MULTISTABILITY IN LANDAU-GINZBURG SYSTEMS. PHYSICAL REVIEW B, 44 (17). pp. 9201-9213. ISSN 0163-1829

Abstract

This paper is concerned with the formation of spiral patterns in a broad range of physical, chemical, and biomolecular systems. An overview of a series of experiments is presented followed by an analysis of spiral reductions for several types of Landau-Ginzburg equations which are applicable to these examples. The main result here is that spiral patterns occur as exact solutions of the highly nonlinear order-parameter equations of motion under three types of conditions: first, at criticality; second, at tricriticality; and third, in the presence of special types of defects which we have modeled with a nonautonomous term. A particularly timely application to ferromagnetic thin films is discussed and provides a physical interpretation of the spiral domain structures found experimentally to arise there.

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