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October 8, 2025Open Access

Decoupling the i.i.d. field and the randomisation field in the Curie-Weiss model

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The phase diagram of the Curie-Weiss model is explained by the interplay between the De Finetti randomisation and a Gaussian process.
Using a Laplace inversion approach, all spin laws can be unified in analysis, revealing results for both subcritical and super-critical cases.
Refinement of process rescaling indicates modifications to the Brownian Sheet that underpin Gaussian random variables.
The functional approach defined here can extend to diverse statistical mechanical models, including the Ising model in various dimensions.

Authors

YBYacine Barhoumi-AndréaniBulgarian Academy of Sciences PEPeter EichelsbacherSpringer Nature (Germany)

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Implication

This analysis unveils the phase diagram dynamics of the Curie-Weiss model, suggesting implications for the Ising model and statistical mechanics frameworks.

Cite This Study

Barhoumi-Andréani et al. (2025) studied this question.

synapsesocial.com/papers/68e6679587ecc93a24d17798 https://doi.org/10.48550/arxiv.2507.17459

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Implication

This analysis unveils the phase diagram dynamics of the Curie-Weiss model, suggesting implications for the Ising model and statistical mechanics frameworks.

Decoupling the i.i.d. field and the randomisation field in the Curie-Weiss model

Key Points

Discussion

Implication

Cite This Study

Decoupling the i.i.d. field and the randomisation field in the Curie-Weiss model

Key Points

Discussion

Implication

Cite This Study

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