Regulating protocols of globally coupled continuum systems: Effects on dynamics and thermodynamics

Area of Science:

• Complex Systems
• Chemical Dynamics
• Nonlinear Science

Background:

• Understanding coupled systems is crucial but challenging.
• Collective dynamics, including chimera states, emerge in such systems.
• Control parameters significantly influence system behavior.

Purpose of the Study:

• Investigate collective dynamics in a simple globally coupled chemical system.
• Explore how different control parameter protocols affect system behavior and thermodynamics.
• Highlight the unique aspects of controlling coupled systems.

Main Methods:

• Utilized a simple globally coupled chemical system model.
• Implemented two distinct parameter control protocols (continuous variation and resetting).
• Analyzed collective dynamics (coherence, chimera states) and nonequilibrium thermodynamics.

Main Results:

• Continuous parameter variation (Protocol I) induced memory effects and direction-dependent phenomena.
• Resetting the parameter (Protocol II) generated entirely different behaviors.
• Both protocols exhibited distinct nonequilibrium thermodynamic signatures for their respective dynamical states.

Conclusions:

• Regulating coupled systems via control parameters is complex and protocol-dependent.
• Distinct protocols lead to unique dynamical states and thermodynamic signatures.
• Findings have implications for manipulating collective behaviors in coupled systems.