99 citations · 308 across the 10 of their papers we have counts for
11 papers
Anomalous mean-field behavior of the fully connected Ising model
Louis Colonna-Romano, Harvey Gould, W. Klein
Although the fully connected Ising model does not have a length scale, we show that its critical exponents can be found using finite size scaling with the scaling variable equal to…
Spatial heterogeneity in earthquake fault-like systems
Javad Kazemian, Rachele Dominguez, Kristy Tiampo +1
The inhomogeneity of the materials with different physical properties in the Earth is responsible for a wide variety of spatial and temporal behaviors. In this work, we study an ea…
A damage-mechanics model for fracture nucleation and propagation
G. Yakovlev, J. D. Gran, D. L. Turcotte +2
In this paper a composite model for earthquake rupture initiation and propagation is proposed. The model includes aspects of damage mechanics, fiber-bundle models, and slider-block…
A Cellular Automaton Model of Damage
C. A. Serino, W. Klein, J. B. Rundle
We investigate the role of equilibrium methods and stress transfer range in describing the process of damage. We find that equilibrium approaches are not applicable to the descript…
Early time kinetics of systems with spatial symmetry breaking
Rachele Dominguez, Kipton Barros, W. Klein
In this paper we present a study of the early stages of unstable state evolution of systems with spatial symmetry changes. In contrast to the early time linear theory of unstable e…
Beyond Cahn-Hilliard-Cook: Early time behavior of symmetry breaking phase transition kinetics
Kipton Barros, Rachele Dominguez, W. Klein
We extend the early time ordering theory of Cahn, Hilliard, and Cook (CHC) so that our generalized theory applies to solid-to-solid transitions. Our theory involves spatial symmetr…