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This study validates fluctuation theorems for dissipation and currents in a stochastic Brusselator model, even far from equilibrium during noisy oscillations. The findings confirm theorem symmetry in complex, nonequilibrium reaction dynamics.

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Area of Science:

  • Chemical kinetics
  • Non-equilibrium thermodynamics
  • Stochastic processes

Background:

  • Fluctuation theorems provide fundamental insights into the statistical properties of systems operating far from thermodynamic equilibrium.
  • The Brusselator model is a well-established chemical system exhibiting oscillating reactions, serving as a key testbed for nonequilibrium dynamics.
  • Stochastic approaches are crucial for accurately describing chemical reactions at the microscale, especially in oscillating systems.

Purpose of the Study:

  • To apply fluctuation theorems for dissipation and currents to a stochastic, reversible Brusselator model.
  • To investigate the validity of these theorems in nonequilibrium regimes characterized by noisy oscillations.
  • To examine the applicability of the fluctuation theorem for currents in a simplified, truncated Brusselator model.

Main Methods:

  • Stochastic simulation of the reversible Brusselator model.
  • Application and verification of fluctuation theorems for dissipation and currents.
  • Analysis of systems operating far from equilibrium under conditions of oscillatory behavior.

Main Results:

  • The symmetry of fluctuation theorems for dissipation and currents was confirmed in the stochastic Brusselator model, even under far-from-equilibrium conditions.
  • The validity of these theorems was demonstrated in regimes exhibiting noisy oscillations.
  • The fluctuation theorem for currents was successfully verified for a truncated version of the Brusselator model.

Conclusions:

  • Fluctuation theorems are robust and applicable to complex stochastic chemical systems like the Brusselator model, operating far from equilibrium.
  • The study confirms the predictive and descriptive power of fluctuation theorems in understanding the statistical mechanics of nonequilibrium processes.
  • The findings support the extension of fluctuation theorems to simplified yet relevant models of chemical oscillations.