E-Book Overview
Nine years has passed since the 1992 second edition of the encyclopedia was published. This completely revised third edition, which is a university and professional level compendium of chemistry, molecular biology, mathematics, and engineering, is refreshed with numerous articles about current research in these fields. For example, the new edition has an increased emphasis on information processing and biotechnology, reflecting the rapid growth of these areas. The continuing Editor-in-Chief, Robert Meyers, and the Board prepared a new topical outline of physical science and technology to define complete coverage. Section editors are either Nobel Laureates or editors of key journals in their fields. Additional Board members representing the global scientific community were also recruited.
E-Book Content
P1: FYK Revised Pages
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Encyclopedia of Physical Science and Technology
EN001-05
May 25, 2001
16:7
Acoustic Chaos Werner Lauterborn Universit¨at G¨ottingen
I. II. III. IV. V. VI. VII. VIII.
The Problem of Acoustic Cavitation Noise The Period-Doubling Noise Sequence A Fractal Noise Attractor Lyapunov Analysis Period-Doubling Bubble Oscillations Theory of Driven Bubbles Other Systems Philosophical Implications
GLOSSARY Bifurcation Qualitative change in the behavior of a system, when a parameter (temperature, pressure, etc.) is altered (e.g., period-doubling bifurcation); related to phase change in thermodynamics. Cavitation Rupture of liquids when subject to tension either in flow fields (hydraulic cavitation) or by an acoustic wave (acoustic cavitation). Chaos Behavior (motion) with all signs of statistics despite an underlying deterministic law (often, deterministic chaos). Fractal Object (set of points) that does not have a smooth structure with an integer dimension (e.g., three