arXiv Open Access 2026

Power laws in the sea ice floe size distribution: a stochastic theory

Samuel N. Stechmann Jiuhua Hu Brandon P. Montemuro Nan Chen Georgy E. Manucharyan +2 lainnya
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Abstrak

Sea ice is a complex system, and observations have shown that ice segments (i.e., floes) have a wide range of sizes, with a floe size distribution that follows a power law. However, a theory for the power law and its exponent have remained elusive. Here, floe-resolving numerical simulations are investigated with a discrete element model, in order to gain further information by gathering statistics of fracture and welding events. Then, based on the insights from the floe-resolving simulations, a stochastic fragmentation-coagulation theory is proposed. Exact solutions are found with a power law. The power-law exponent can take a variety of values, and it depends on the fracture and welding rates. Such behavior is reminiscent of seasonal changes in the power-law exponent, which have been reported in past analyses of observational data.

Topik & Kata Kunci

Penulis (7)

S

Samuel N. Stechmann

J

Jiuhua Hu

B

Brandon P. Montemuro

N

Nan Chen

G

Georgy E. Manucharyan

E

Evelyn Tollar

Y

Yujia Zhang

Format Sitasi

Stechmann, S.N., Hu, J., Montemuro, B.P., Chen, N., Manucharyan, G.E., Tollar, E. et al. (2026). Power laws in the sea ice floe size distribution: a stochastic theory. https://arxiv.org/abs/2604.10292

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2026
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en
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arXiv
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