Chaos in Classical Nonlinear Fields
Final technical rept. 1 Aug 1988-31 Dec 1989
NEW HAMPSHIRE UNIV DURHAM DEPT OF PHYSICS
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Chaotic behavior is studied in a high-dimensional periodic lattice version of the classical Hamiltonian phi-four field theory. Both single and double well potentials were considered. Examined is the existence of a global stochasticity threshold that varied with energy and initial conditions. The model was discretized using an algorithm due to Hirota that guarantees stability and energy conservation. Chaotic behavior was diagnosed using the Lyapunov exponent, with additional information from space-time profiles, Fourier power spectra, and phase space plots. Long time scales made it difficult to distinguish between asymptotically chaotic and integrable behavior.
- Theoretical Mathematics