I have worked on statistical aspects of avalanche dynamics in fracture and earthquakes and their theoretical models.

Particularly, I am presently working with Prof. Takahiro Hatano on the stress dependence of the time-constant and also the exponent value seen in Gutenber- Richter and Omori laws. We aim to capture these with simple spring-block type discrete models with random pinning. We also aim to predict similar behavior in the case of fracture of disordered solids.

In the past I have worked on statistical similarities between earthquake and fracture front propagation model. With simplifying assumptions we have been able to show that the Edwards-Wilkinson model for interface propagation and Burridge-Knopoff type spring block models are equivalent.

I have also worked on the fiber bundle model for fracture of disordered solids. This is a simple discrete models, yet it captures many basic features seen in experiments. We have investigated the mode of failure, which depends on range of stress release.

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