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Ergodic Dynamics in a Natural Threshold System

Kristy F. Tiampo, John B. Rundle, & William Klein

Published December 2003, SCEC Contribution #705

Numerical simulations suggest that certain driven, dissipative mean-field threshold systems, including earthquake models, can be characterized by statistical properties often associated with ergodic dynamics, in the same sense as stochastic Brownian motion. We applied a fluctuation metric proposed by Thirumalai and Mountain [Phys. Rev. E 47, 479 (1993)] for statistically stationary systems and find that the natural earthquake fault system in California demonstrates similar ergodic dynamics.

Key Words

Tiampo, K. F., Rundle, J. B., & Klein, W. (2003). Ergodic Dynamics in a Natural Threshold System. Physical Review Letters, 91(23), 238501.1-238501.4. doi: 10.1103/PhysRevLett.91.238501.