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.
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