Coherence, Chaos, and Broken Symmetry in Classical, Many-Body Dynamical Systems
- 25 May 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 58 (21) , 2155-2158
- https://doi.org/10.1103/physrevlett.58.2155
Abstract
It is argued in the context of coupled quadratic maps that macroscopically chaotic states do not occur in many-body systems with local interactions and random initial conditions. Such systems can exhibit chaos, but only locally; their collective behavior is periodic or stationary. The phase diagram for the coupled-map system as a function of control parameter and noise is presented, and the universality classes of the phase transitions identified.Keywords
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