Abstract: The frequency-size distribution of model earthquakes in a one-dimensional Burridge-Knopoff spring-block model [Phys. Rev. Lett. 22 (1989) 2632] is studied. Analytical approach is taken to avoid the limitations on the size of models and computation time in numerical calculations. By using the Hamiltonian of the spring-block system a concept of seismic phonon' is proposed which is similar to the concept of phonon in solid state physics. The result of the occurrence frequency of model earthquakes shows a distribution similar to the modified gamma distribution proposed by Main and Burton using information theory.
WU Zhong-liang. Frequency-Size Distribution of Model Seismicity in a Statistical Mechanical Model of Earthquakes[J]. 中国物理快报, 1999, 16(6): 458-460.
WU Zhong-liang. Frequency-Size Distribution of Model Seismicity in a Statistical Mechanical Model of Earthquakes. Chin. Phys. Lett., 1999, 16(6): 458-460.