38 citations · 70 across the 3 of their papers we have counts for
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cond-mat.mtrl-sci2005★ 32 cited
Discrete models of dislocations and their motion in cubic crystals
A. Carpio, L. L. Bonilla
A discrete model describing defects in crystal lattices and having the standard linear anisotropic elasticity as its continuum limit is proposed. The main ingredients entering the…
cond-mat.mtrl-sci2003★ 38 cited
Oscillatory wave fronts in chains of coupled nonlinear oscillators
A. Carpio, L. L. Bonilla
Wave front pinning and propagation in damped chains of coupled oscillators are studied. There are two important thresholds for an applied constant stress : for (dyn…
cond-mat.mtrl-sci2002
Depinning transitions in discrete reaction-diffusion equations
A. Carpio, L. L. Bonilla
We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or…