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Author
Date
2024Type
- Student Paper
ETH Bibliography
yes
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Abstract
We study existence of long range order in the random field Ising model. We define the classical Ising model and use the so-called Griffiths--Peierls argument to prove existence of long range order for low temperatures, in dimension two and above. Then, we introduce the random field Ising model. We proceed as in J. Ding and Z. Zhuang recent work in \cite{dingzhuang} to extend Peierls argument and show that long range order also exists in this model, at low temperatures with the presence of a weak disorder, in dimension three and above. Show more
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https://doi.org/10.3929/ethz-b-000672117Publication status
publishedPublisher
ETH ZurichSubject
Ising modelOrganisational unit
09584 - Tassion, Vincent / Tassion, Vincent
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ETH Bibliography
yes
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