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Evolution in range expansions with competition at rough boundaries.

J Theor Biol

October 2019

Department of Physics, University of California, Merced, CA 95343, USA. Electronic address:

When a biological population expands into new territory, genetic drift develops an enormous influence on evolution at the propagating front. In such range expansion processes, fluctuations in allele frequencies occur through stochastic spatial wandering of both genetic lineages and the boundaries between genetically segregated sectors. Laboratory experiments on microbial range expansions have shown that this stochastic wandering, transverse to the front, is superdiffusive due to the front's growing roughness, implying much faster loss of genetic diversity than predicted by simple flat front diffusive models.

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J Am Chem Soc

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Department of Chemical and Environmental Engineering, ⊥Program in Materials Science and Engineering, and #UCR Center for Catalysis, University of California Riverside, Riverside, California 92521, United States.

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Carbon monoxide (CO) is one of the most-studied molecules among the many modern industrial chemical reactions available. Following the Langmuir-Hinshelwood mechanism, CO conversion starts with adsorption on a catalyst surface, which is a crucially important stage in the kinetics of the catalytic reaction. Stepped surfaces show enhanced catalytic activity because they, by nature, have dense active sites.

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Phase-field model for reconstructed stepped surface.

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Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA.

We formulate a phase-field, or diffuse-interface, model for the evolution of stepped surfaces under surface diffusion in the presence of distinct material parameters across nanoscale terraces. In the sharp-interface limit, our model reduces to a Burton-Cabrera-Frank (BCF)-type theory for the motion of noninteracting steps separating inhomogeneous terraces. This setting aims to capture features of reconstructed semiconductor, e.

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