https://doi.org/10.1140/epjp/s13360-021-01663-x
Regular Article
Accelerating solutions to diffusion equation
1
Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, 7491169, Santiago, Chile
2
Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, 7491169, Santiago, Chile
3
Departamento de Física, Facultad de Ciencias, Universidad de Chile, 7800003, Santiago, Chile
4
Centro de Recursos Educativos Avanzados, CREA, 7500018, Santiago, Chile
Received:
23
March
2021
Accepted:
11
June
2021
Published online:
21
June
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
