Connections between efficient control and spontaneous transitions in an Ising model
Miranda D Louwerse1, David A Sivak2
1Department of Chemistry, Simon Fraser University, Burnaby, British Columbia, Canada V5A1S6.
Physical Review. E
|January 21, 2023
Summary
This study reveals a connection between minimum-work driving protocols and spontaneous system transitions. The order of events in a 2D Ising model remains similar, even with simplified control parameters.
Area of Science:
- Statistical Mechanics
- Thermodynamics
- Computational Physics
Background:
- Systems can transition between stable states via external driving protocols.
- Understanding these transitions is crucial for controlling system behavior.
- Minimum-work protocols aim to achieve state transitions efficiently.
Purpose of the Study:
- To investigate the relationship between minimum-work driving protocols and spontaneous transition paths.
- To compare the dynamics of driven and spontaneous transitions in a model system.
- To analyze how control parameters influence system energy during transitions.
Main Methods:
- Simulated a 2D Ising model undergoing a spin-inversion reaction.
- Quantified spin flip timing and heat flow for both minimum-work and spontaneous transitions.
- Analyzed the role of external control parameters in energy compensation.
Main Results:
- The general sequence of spin flips was preserved between minimum-work and spontaneous transitions.
- Control parameters in minimum-work protocols compensate for system's internal energy changes.
- Despite parameter coarseness, a correspondence between the two transition types was observed.
Conclusions:
- Minimum-work protocols exhibit a significant correspondence with spontaneous transition mechanisms.
- The study provides insights into the fundamental relationship between driving and system dynamics.
- Findings support the utility of minimum-work principles in understanding complex system behavior.
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