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Perlekar, Prasad

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Perlekar

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Prasad

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Perlekar, Prasad
Author's Publications: search.filters.isAuthorOfPublication.923ad5ec-a1d3-4c66-9702-f3c67fc3478c

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    Growth, Competition and Cooperation in Spatial Population Genetics
    (Elsevier, 2013) Pigolotti, S.; Benzi, R.; Perlekar, Prasad; Jensen, M. H.; Toschi, F.; Nelson, David
    We study an individual based model describing competition in space between two different alleles. Although the model is similar in spirit to classic models of spatial population genetics such as the stepping stone model, here however space is continuous and the total density of competing individuals fluctuates due to demographic stochasticity. By means of analytics and numerical simulations, we study the behavior of fixation probabilities, fixation times, and heterozygosity, in a neutral setting and in cases where the two species can compete or cooperate. By concluding with examples in which individuals are transported by fluid flows, we argue that this model is a natural choice to describe competition in marine environments.
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    Spinodal Decomposition in Homogeneous and Isotropic Turbulence
    (American Physical Society, 2014) Perlekar, Prasad; Benzi, Roberto; Clercx, Herman J. H.; Nelson, David; Toschi, Federico
    We study the competition between domain coarsening in a symmetric binary mixture below critical temperature and turbulent fluctuations. We find that the coarsening process is arrested in the presence of turbulence. The physics of the process shares remarkable similarities with the behavior of diluted turbulent emulsions and the arrest length scale can be estimated with an argument similar to the one proposed by Kolmogorov and Hinze for the maximal stability diameter of droplets in turbulence. Although, in the absence of flow, the microscopic diffusion constant is negative, turbulence does effectively arrest the inverse cascade of concentration fluctuations by making the low wavelength diffusion constant positive for scales above the Hinze length.
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    Population Dynamics at High Reynolds Number
    (American Physical Society, 2010) Perlekar, Prasad; Benzi, Roberto; Nelson, David; Toschi, Federico
    We study the statistical properties of population dynamics evolving in a realistic two-dimensional compressible turbulent velocity field. We show that the interplay between turbulent dynamics and population growth and saturation leads to quasilocalization and a remarkable reduction in the carrying capacity. The statistical properties of the population density are investigated and quantified via multifractal scaling analysis. We also investigate numerically the singular limit of negligibly small growth rates and delocalization of population ridges triggered by uniform advection.