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Abstract 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… Click to show full abstract
Abstract 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.
Keywords:
curie;
critical fluctuations;
dynamics critical;
fluctuations asymmetric;
asymmetric curie;
curie weiss
Journal Title: Stochastic Processes and their Applications
Year Published: 2019
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Journal Title: Stochastic Processes and their Applications
Year Published: 2019
Link to full text (if available)
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recommendations!