Dynamical phase transitions and self-organized criticality in a theoretical spring-block model

摘要

We numerically and analytically study the self-organized criticality of a nonconservative and globally coupled spring-block model. With a spring parameter and a time-scale parameter, this model displays the dynamical states of two types which are different from each other in three aspects: the stick-slip processes, the strain distribution functions, and the power laws of shock-size distributions. Over a range of parameter space these two states may coexist. The transitions between these two states as well as the phenomenon of hysteresis are first observed in the context of spring-block models. A phase diagram is roughly sketched.