Misc,

Neither pulled nor pushed: Genetic drift and front wandering uncover a new class of reaction-diffusion waves

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(2017)arxiv:1709.01601.

Abstract

Traveling waves describe diverse natural phenomena from crystal growth in physics to range expansions in biology. Two classes of waves exist with very different properties: pulled and pushed. Pulled waves are noisy because they are driven by high growth rates at the expansion edge, where the number of organisms is small. In contrast, fluctuations are suppressed in pushed waves because the region of maximal growth is shifted towards the population bulk. Although it is commonly believed that expansions are either pulled or pushed, we found an intermediate class of waves with bulk-driven growth, but exceedingly large fluctuations. Such waves have many unusual properties because their foci of growth, ancestry, and diversity are spatially separated from each other.

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