Statistical Physics of Fracture, Friction and Earthquake
arXiv:1112.0148 · doi:10.1103/RevModPhys.84.839
Abstract
We review the present status of our research and understanding regarding the dynamics and the statistical properties of earthquakes, mainly from a statistical physical viewpoint. Emphasis is put both on the physics of friction and fracture, which provides a "microscopic" basis of our understanding of an earthquake instability, and on the statistical physical modelling of earthquakes, which provides "macroscopic" aspects of such phenomena. Recent numerical results on several representative models are reviewed, with attention to both their "critical" and "characteristic" properties. We highlight some of relevant notions and related issues, including the origin of power-laws often observed in statistical properties of earthquakes, apparently contrasting features of characteristic earthquakes or asperities, the nature of precursory phenomena and nucleation processes, the origin of slow earthquakes, etc.
52 pages, 42 figures
References in corpus (15)
- On origami embeddings of flat tori
- Power-law friction in closely-packed granular materials
- Gaussian Statistics of Fracture Surfaces
- Depinning exponents of the driven long-range elastic string
- Simulation study of earthquakes based on the two-dimensional Burridge-Knopoff model with the long-range interaction
- Creep of a fracture line in paper peeling
- Simulation of the Burridge-Knopoff Model of Earthquakes with Variable Range Stress Transfer
- Transient and stationary behavior of the Olami-Feder-Christensen earthquake model
- Rate- and State-Dependent Friction Law and Statistical Properties of Earthquakes
- The Network of Epicenters of the Olami-Feder-Christensen Model of Earthquakes
- Periodicity and criticality in the Olami-Feder-Christensen model of earthquakes
- Scaling of the critical slip distance in granular layers
- Spatiotemporal correlations of earthquakes in the continuum limit of the one-dimensional Burridge-Knopoff model
- Effect of fractal disorder on static friction in the Tomlinson model
- Depinning transitions in elastic strings
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- Social Inequality Analysis of Fiber Bundle Model Statistics and Prediction of Materials Failure
- Excess Vibrational Density of States and the Brittle to Ductile Transition in Crystalline and Amorphous Solids
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- Size distribution of emitted energies in local load sharing fiber bundles
- Slow crack propagation through a disordered medium: Critical transition and dissipation
- Origin of yield stress and mechanical plasticity in model biological tissues
- Viscoelastic Interfaces Driven in Disordered Media and Applications to Friction
- Dynamics of earthquake nucleation process represented by the Burridge-Knopoff model
- Nucleation process in the Burridge-Knopoff model of earthquakes
- Equivalence of the train model of earthquake and boundary driven Edwards-Wilkinson interface
- Statistical properties of the one-dimensional Burridge-Knopoff model of earthquakes obeying the rate and state dependent friction law
- Flory-like Statistics of Fracture in Fiber Bundle Model as obtained via Kolmogorov Dispersion for Turbulence: A conjecture
- Post-spontaneous-symmetry-breaking power-laws after a very strong earthquake: Indication for the preparation of a new strong earthquake or not?
- Slow-Slip Phenomena Represented by the One-Dimensional Burridge-Knopoff Model of Earthquakes
- Earthquake magnitude distribution and aftershocks: a statistical geometry explanation
- Earthquake dynamics constrained from laboratory experiments: new insights from granular materials
- Correlation between avalanches and emitted energies during fracture with variable stress release range
- A model of magnetic friction obeying the Dieterich--Ruina law in the steady state
- A model of magnetic friction with the infinite-range interaction
- Nature of the high-speed rupture of the two-dimensional Burridge-Knopoff model of earthquakes
- Exact results for a toy model exhibiting dynamic criticality
- Thermodynamic aspects of rock friction
- Power-law intensity distribution in -decay cascades -- Nuclear Structure as a Scale-Free Random Network
- Characterization of catastrophic instabilities: Market crashes as paradigm
- On a possible fractal relationship between the Hurst exponent and the nonextensive Gutenberg-Richter index
- Long-range spatial correlations and fluctuation statistics of lightning activity rates in Brazil
- Stochastic methods for slip prediction in a sheared granular system
- Failure process of fiber bundles with random misalignment
- Scaling characteristics of fractional diffusion processes in the presence of power-law distributed random noise
- Relaxation process of magnetic friction under sudden changes in velocity
- Relations Among Different Inequality Measures in Complex Systems: From Kinetic Exchange to Earthquake Models
- A finite geometry, inertia assisted coarsening-to-complexity transition in homogeneous frictional systems
- Spatio-temporal chaos of one-dimensional thin elastic layer with the rate-and-state friction law
- Assessment of Predictor-Corrector strategy for the Burridge-Knopoff model
- Dynamics of the market states in the space of correlation matrices with applications to financial markets
- Transition between the stick and slip states in a simplified model of magnetic friction
- Depinning as a coagulation process
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- Investigating the signatures of long-range persistence in seismic sequences along Circum-Pacific subduction zones