## EVENT DETAILS AND ABSTRACT

**Colloquium**
**Title:** Chaotic Field Theory: a Sketch

**Speaker:** Professor Predrag Cvitanovic

**Speaker Info:** Northwestern University

**Brief Description:**

**Special Note**:

**Abstract:**

In the path integral formulation of a field theory the dominant
contributions come from saddle-points, the classical solutions
of equations of motion. So, if one is to develop a quantum
field theory of systems that are classically chaotic or ``turbulent'',
one needs to determine and classify the relevant solutions of
classical nonlinear field theories. One approach is to search
for spatiotemporally recurrent patterns.
As we watch a turbulent system evolve, every so often we catch
a glimpse of a familiar pattern: For any finite spatial resolution,
the system follows approximately for a finite time a pattern
belonging to a finite alphabet of admissible patterns, and the
long term dynamics
can be thought of as a walk through the space of such patterns,
just as chaotic dynamics with a low dimensional
attractor can be thought of as a succession of nearly periodic (but
unstable) motions.
The periodic orbit provides the machinery that converts this
intuitive picture into a calculation.

**Date:** Friday, May 12, 2000

**Time:** 4:15pm

**Where:** Lunt 105

**Contact Person:** Prof. Gui-Qiang

**Contact email:** gqchen@math.nwu.edu

**Contact Phone:** 847-491-5553

Copyright © 1997-2024
Department of Mathematics, Northwestern University.