Document Type
Journal Article
Role
Author
Standard Number
0031-9007
Journal Title
Physical Review Letters
Volume
69
Issue
6
First Page
865
Publication Date
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.
Repository Citation
A.S. Landsberg. (1992). Geometrical Phases and Symmetries in Dissipative Systems. Physical Review Letters 69 (6): 865.