https://doi.org/10.1140/epjp/s13360-022-03431-x
Regular Article
Airy heat bullets
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:
21
March
2022
Accepted:
25
October
2022
Published online:
31
October
2022
New localized structured solutions for the three-dimensional linear heat (diffusion) equation are presented. These new solutions are written in terms of Airy functions. They are constructed as wave packet-like structures formed by a superposition of Bessel functions through the introduction of spectral functions. These diffusive solutions accelerate along their propagation direction, while in the plane orthogonal to it, they retain their confined structure. These heat (diffusion) densities retain a complete localized form in space as they propagate, and may be considered the heat analogue of Airy light bullets.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
