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Hanshuang Chen1, Chuansheng Shen2, Haifeng Zhang3

  • 1School of Physics and Materials Science, Anhui University, Hefei 230601, China.

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This study explores noise-induced phase switching in the inertial majority-vote (IMV) model. The research reveals a nonmonotonic switching time dependence on noise intensity, with a minimum at a critical point, offering insights into first-order phase transitions.

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Area of Science:

  • Statistical Physics
  • Complex Systems

Background:

  • The inertial majority-vote (IMV) model exhibits hysteresis, characteristic of first-order phase transitions.
  • This contrasts with the second-order phase transitions observed in the original majority-vote (MV) model.

Purpose of the Study:

  • To theoretically investigate noise-induced phase switching phenomena in the IMV model.
  • To analyze the hysteresis behavior and its relation to phase transitions.

Main Methods:

  • Utilizing the Wentzel-Kramers-Brillouin (WKB) approximation for the master equation.
  • Reducing the problem to analyzing zero-energy trajectories in an effective Hamiltonian system.
  • Comparing theoretical predictions with Monte Carlo simulations.

Main Results:

  • Mean switching time depends exponentially on action and particle number (N).
  • Actions along forward and backward paths within the hysteresis region vary distinctly with noise intensity (f).
  • A critical noise intensity (f_c) defines the coexisting line for ordered (OP) and disordered phases (DP).

Conclusions:

  • The IMV model demonstrates a nonmonotonic dependence of mean switching time between symmetric OPs on f.
  • A minimum switching time occurs at f_c for large N.
  • Theoretical findings are validated by simulations, confirming the model's behavior.