The dynamics of critical fluctuations in asymmetric Curie-Weiss models

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:129

Article

Pra, Paolo Dai¹  Tovazzi, Daniele¹ 

[1] Univ Padua, Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy

关键词: Interacting particle systems;    Mean-field interaction;    Averaging principle;   

DOI  :  10.1016/j.spa.2018.04.005

来源: Elsevier

【 摘 要 】

We study the dynamics of fluctuations at the critical point for two time-asymmetric version of the Curie- Weiss model for spin systems that, in the macroscopic limit, undergo a Hopf bifurcation. The fluctuations around the macroscopic limit reflect the type of bifurcation, as they exhibit observables whose fluctuations evolve at different time scales. The limiting dynamics of fluctuations of slow observable is obtained via an averaging principle. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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