234 citations · 235 across the 3 of their papers we have counts for
6 papers
Fluctuation-regularized Front Propagation Dynamics
Elisheva Cohen, David A. Kessler, Herbert Levine
We introduce and study a new class of fronts in finite particle number reaction-diffusion systems, corresponding to propagating up a reaction rate gradient. We show that these syst…
Dynamic instabilities of fracture under biaxial strain using a phase field model
Herve Henry, Herbert Levine
We present a phase field model of the propagation of fracture under plane strain. This model, based on simple physical considerations, is able to accurately reproduce the different…
Phase field approach for modeling intracellular dynamics
Julien Kockelkoren, Herbert Levine, Wouter-Jan Rappel
We introduce a phase field approach for diffusion inside and outside a closed cell with damping and with source terms at the interface. The method is compared to exact solutions (w…
Non-native beta-sheet formation: insights into protein amyloidosis
Chinlin Guo, Herbert Levine, David A. Kessler
Protein amyloidosis is a cytopathological process characterized by the formation of highly beta-sheet-rich fibrils. How this process occurs and how to prevent/treat the associated…
Steady-state mode III cracks in a viscoelastic lattice model
Leonid Pechenik, Herbert Levine, David A. Kessler
We extend the Slepyan solution of the problem of a steady-state crack in an infinite ideally brittle lattice model to include dissipation in the form of Kelvin viscosity. As a demo…
Steady-state mode I cracks in a viscoelastic triangular lattice
Leonid Pechenik, Herbert Levine, David A. Kessler
We continue our study of the exact solutions for steady-state cracks in ideally brittle viscoelastic lattice models by focusing on mode I in a triangular system. The issues we addr…