Condensate-induced organization and emergent power laws in the Takayasu model
APA
(2024). Condensate-induced organization and emergent power laws in the Takayasu model . SciVideos. https://youtube.com/live/Ou6O8a0jom4
MLA
Condensate-induced organization and emergent power laws in the Takayasu model . SciVideos, Dec. 19, 2024, https://youtube.com/live/Ou6O8a0jom4
BibTex
@misc{ scivideos_ICTS:30570,
doi = {},
url = {https://youtube.com/live/Ou6O8a0jom4},
author = {},
keywords = {},
language = {en},
title = {Condensate-induced organization and emergent power laws in the Takayasu model },
publisher = {},
year = {2024},
month = {dec},
note = {ICTS:30570 see, \url{https://scivideos.org/index.php/icts-tifr/30570}}
}
Abstract
Of special interest in aggregation processes is the occurrence of extremely large clusters, or condensates, which hold a finite fraction of the mass. We find that condensates coexist with a power law distribution in the Takayasu model of aggregation with input, even though the mass is not conserved. While approaching steady state, mini-condensates form on a growing length scale. There is a single mobile condensate in steady state, and its movement leads to a dynamic re-organization of the landscape on a macroscopic scale, along with an emergent power law which differs from the usual Takayasu power. In an open system, the exit of the condensate from the edges leads to intermittent fluctuations of the total mass in steady state, quantified through a divergence of the scaled kurtosis.
[1] A. Das and M. Barma, Indian J. Phys., Special issue on Nonequilibrium Statistical Physics (2024)
https://link.springer.com/article/10.1007/s12648-023-03030-1
[2] R. Negi, R. Pereira and M. Barma, arXiv:2407.09827 , to appear, Phys. Rev. E (2024)