A planar Ising model of self-organized criticality
نویسندگان
چکیده
We consider the planar Ising model in a finite square box and we replace temperature parameter with function depending on magnetization. This creates feedback from spin configuration onto parameter, which drives system towards critical point. Using finite-size scaling results of Cerf Messikh (Theory Relat Fields 150(1–2):193–217, 2011. https://doi.org/10.1007/s00440-010-0272-0 ), show that, when size grows to infinity, concentrates around lattice.
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2021
ISSN: ['0178-8051', '1432-2064']
DOI: https://doi.org/10.1007/s00440-021-01025-9