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Accelerating solutions to diffusion equation

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Abstract

We report accelerating diffusive solutions to the diffusion equation with a constant diffusion tensor. The maximum values of the diffusion density evolve in an accelerating fashion described by Airy functions. We show the diffusive accelerating behavior for one-dimensional systems, as well as for a general three-dimensional case. We also construct a modulated modified form of the diffusion solution that retains the accelerating features.

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Author information

Authors and Affiliations

  1. Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago, 7491169, Chile

    Felipe A. Asenjo

  2. Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Santiago, 7491169, Chile

    Sergio A. Hojman

  3. Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, 7800003, Chile

    Sergio A. Hojman

  4. Centro de Recursos Educativos Avanzados, CREA, Santiago, 7500018, Chile

    Sergio A. Hojman

Authors
  1. Felipe A. Asenjo
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  2. Sergio A. Hojman
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Correspondence to Felipe A. Asenjo.

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Asenjo, F.A., Hojman, S.A. Accelerating solutions to diffusion equation. Eur. Phys. J. Plus 136, 677 (2021). https://doi.org/10.1140/epjp/s13360-021-01663-x

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01663-x

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