Entropy production in the majority-vote model

Area of Science:

• Statistical Physics
• Complex Systems

Background:

• The majority-vote model is a nonequilibrium stochastic system.
• This model exhibits critical behavior within the universality class of the equilibrium Ising model.
• Its dynamics do not adhere to detailed balance, leading to continuous entropy production.

Purpose of the Study:

• To analyze entropy production in the majority-vote model.
• To investigate the behavior of entropy production at the critical point.
• To determine the critical exponent associated with entropy production.

Main Methods:

• Mean-field approximation was employed for theoretical analysis.
• Monte Carlo simulations were utilized for numerical investigation.
• The study focused on the dynamical rules and their implications for entropy.

Main Results:

• Entropy production was found to exhibit a singularity at the critical point.
• The critical exponent of entropy production was numerically estimated.
• The analysis confirmed the model's critical behavior and its relation to the Ising model.

Conclusions:

• The majority-vote model demonstrates a singular behavior in entropy production at its critical point.
• This finding provides a deeper understanding of nonequilibrium systems and critical phenomena.
• The study highlights the connection between stochastic models and equilibrium statistical mechanics.