676 citations · 3.2k across the 68 of their papers we have counts for
6 papers · 1 filter
Fluctuation Induced Instabilities in Front Propagation up a Co-Moving Reaction Gradient in Two Dimensions
C. Scott Wylie, Herbert Levine, David A. Kessler
We study 2D fronts propagating up a co-moving reaction rate gradient in finite number reaction-diffusion systems. We show that in a 2D rectangular channel, planar solutions to the…
Front Propagation up a Reaction Rate Gradient
Elisheva Cohen, David A. Kessler, Herbert Levine
We expand on a previous study of fronts in finite particle number reaction-diffusion systems in the presence of a reaction rate gradient in the direction of the front motion. We st…
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…
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…
Dynamics of Competitive Evolution on a Smooth Landscape
Weiqun Peng, Ulrich Gerland, Terence Hwa +1
We study competitive DNA sequence evolution directed by {\it in vitro} protein binding. The steady-state dynamics of this process is well described by a shape-preserving pulse whic…
Quantum Nucleation of Phase Slips in a 1d Model of a Superfluid
Jose A. Freire, Daniel P. Arovas, Herbert Levine
We use a 1d model of a superfluid based on the Gross-Pitaevskii Lagrangian to illustrate a general numerical method designed to find quantum tunneling rates in extended bosonic sys…