116 citations · 238 across the 6 of their papers we have counts for
6 papers
Universal mean moment rate profiles of earthquake ruptures
Amit P. Mehta, Karin A. Dahmen, Yehuda Ben-Zion
Earthquake phenomenology exhibits a number of power law distributions including the Gutenberg-Richter frequency-size statistics and the Omori law for aftershock decay rates. In sea…
Higher Order Spectra in Avalanche Models
Amit P. Mehta, Karin A. Dahmen, A. C. Mills +1
Utilizing the Haar transform, we study the higher order spectral properties of mean field avalanche models, whose avalanche dynamics are described by Poisson statistics at a critic…
Noise in Disordered Systems: Higher Order Spectra in Avalanche Models
Amit P. Mehta, Karin A. Dahmen, M. W. Weissman +1
We present a novel analytic calculation of the Haar power spectra, and various higher order spectra, of mean field avalanche models. We also compute these spectra from a simulation…
Universal shape profiles of earthquake ruptures
Amit P. Mehta, Karin A. Dahmen, Yehuda Ben-Zion
Universal shape profiles in a variety of systems contain crucial information on the underlying dynamics. We develop such shape profiles for earthquakes as a stronger test of theory…
Universal Pulse Shape Scaling Function and Exponents: A Critical Test for Avalanche Models applied to Barkhausen Noise
Amit P. Mehta, Andrea C. Mills, Karin Dahmen +1
In order to test if the universal aspects of Barkhausen noise in magnetic materials can be predicted from recent variants of the non-equilibrium zero temperature Random Field Ising…
Topological Invariants in Microscopic Transport on Rough Landscapes: Morphology, Hierarchical Structure, and Horton Analysis of Riverlike Networks of Vortices
A. P. Mehta, C. Reichhardt, C. J. Olson +1
River basins as diverse as the Nile, the Amazon, and the Mississippi satisfy certain topological invariants known as Horton's laws. Do these macroscopic (up to 10^3 km) laws extend…