Critical behavior in earthquake energy dissipation
J. Wanliss1, V. Muñoz2, D. Pastén2, B. Toledo2, and J. A. Valdivia21Department of Physics and Computer Science, Presbyterian College, Clinton, South Carolina, USA 2Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
Received: 23 Feb 2015 – Accepted for review: 01 Apr 2015 – Discussion started: 17 Apr 2015
Abstract. We explore bursty multiscale energy dissipation from earthquakes flanked by latitudes 29 and 35.5° S, and longitudes 69.501 and 73.944° W (in the Chilean central zone). Our work compares the predictions of a theory of nonequilibrium phase transitions with nonstandard statistical signatures of earthquake complex scaling behaviors. For temporal scales less than than 84 h, time development of earthquake radiated energy activity follows an algebraic arrangement consistent with estimates from the theory of nonequilibrium phase transitions. There are no characteristic scales for probability distributions of sizes and lifetimes of the activity bursts in the scaling region. The power-law exponents describing the probability distributions suggest that the main energy dissipation takes place due to largest bursts of activity, such as major earthquakes, as opposed to smaller activations which contribute less significantly though they have greater relative occurrence. The results obtained provide statistical evidence that earthquake energy dissipation mechanisms are essentially "scale-free," displaying statistical and dynamical self-similarity. Our results provide some evidence that earthquake radiated energy and directed percolation belong to a similar universality class.
Wanliss, J., Muñoz, V., Pastén, D., Toledo, B., and Valdivia, J. A.: Critical behavior in earthquake energy dissipation, Nonlin. Processes Geophys. Discuss., 2, 619-645, doi:10.5194/npgd-2-619-2015, 2015.