Chaos in classical nonlinear fields. Final technical report, 1 August 1988-31 December 1989

Technical Report · Tue May 01 00:00:00 EDT 1990

OSTI ID:5826881

Shepard, H K; Meredith, D C

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. (jhd)

• Research Organization: New Hampshire Univ., Durham, NH (USA). Dept. of Physics
• OSTI ID: 5826881
• Report Number(s): AD-A-229434/6/XAB; CNN: AFOSR-88-0253
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PHI4-FIELD THEORY
STOCHASTIC PROCESSES
ALGORITHMS
ENERGY CONSERVATION
FOURIER ANALYSIS
HAMILTONIAN FUNCTION
LYAPUNOV METHOD
NONLINEAR PROBLEMS
POTENTIALS
PROGRESS REPORT
QUANTUM FIELD THEORY
SPACE-TIME
STABILITY
DOCUMENT TYPES
FIELD THEORIES
FUNCTIONS
MATHEMATICAL LOGIC
645400* - High Energy Physics- Field Theory