TY - JOUR
T1 - Burridge-Knopoff model
T2 - Exploration of dynamic phases
AU - Clancy, Ian
AU - Corcoran, David
PY - 2006
Y1 - 2006
N2 - Slider-block models are often used to simulate earthquake dynamics. However, the models' origins are more conceptual than analytical. This study uses Navier's equations of an elastic bulk to derive a one-dimensional slider-block model, the Burridge-Knopoff model. This model exhibits a critical phase transition by varying the friction parameter. Accurate analytical estimates are made of event size limits for the small scale, large scale, and intermediate dynamic phases. The absence of large scale quasiperiodic delocalized events is noted for the parameter set investigated here. The time intervals between large scale events are approximately exponentially distributed for the system in its critical state, in agreement with the theory of nonequilibrium critical systems and earthquake dynamics.
AB - Slider-block models are often used to simulate earthquake dynamics. However, the models' origins are more conceptual than analytical. This study uses Navier's equations of an elastic bulk to derive a one-dimensional slider-block model, the Burridge-Knopoff model. This model exhibits a critical phase transition by varying the friction parameter. Accurate analytical estimates are made of event size limits for the small scale, large scale, and intermediate dynamic phases. The absence of large scale quasiperiodic delocalized events is noted for the parameter set investigated here. The time intervals between large scale events are approximately exponentially distributed for the system in its critical state, in agreement with the theory of nonequilibrium critical systems and earthquake dynamics.
UR - http://www.scopus.com/inward/record.url?scp=33645759901&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.73.046115
DO - 10.1103/PhysRevE.73.046115
M3 - Article
AN - SCOPUS:33645759901
SN - 1539-3755
VL - 73
SP - -
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
M1 - 046115
ER -