Geometrical Phases and Symmetries in Dissipative Systems

Authors

Adam S. Landsberg, Claremont McKenna College; Pitzer College; Scripps CollegeFollow

Document Type

Article

Department

WM Keck Science

Publication Date

8-10-1992

Abstract

A geometrical phase is constructed for dissipative dynamical systems possessing continuous symmetries. It emerges as the natural analog of the holonomy associated with the adiabatic variation of parameters in quantum-mechanical and classical Hamiltonian systems. In continuous media, the physical manifestation of this phase is a spatial shift of a wave pattern, typically a translation or rotation. An illustration associated with pattern formation in fluids is provided.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,466

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Recommended Citation

Landsberg, A.S. "Geometrical Phases and Symmetries in Dissipative Systems." Physical Review Letters 6.6 (1992): 865.