• Corpus ID: 118859628

On the origin of self-oscillations in large systems

  title={On the origin of self-oscillations in large systems},
  author={Daniele De Martino},
  journal={arXiv: Statistical Mechanics},
  • D. Martino
  • Published 17 January 2018
  • Mathematics
  • arXiv: Statistical Mechanics
In this article is shown that large systems endowing phase coexistence display self-oscillations in presence of linear feedback between the control and order parameters, where an Andronov-Hopf bifurcation takes over the phase transition. This is simply illustrated through the mean field Landau theory whose feedback dynamics turns out to be described by the Van der Pol equation and it is then validated for the fully connected Ising model following heat bath dynamics. Despite its simplicity, this… 

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