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Multidimensional minimum-work control of a 2D Ising model.

Miranda D Louwerse1, David A Sivak2

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Summary
This summary is machine-generated.

Multidimensional control protocols significantly reduce the work required to reconfigure systems by intelligently navigating control parameters. This method speeds up system changes and keeps them closer to equilibrium, minimizing energy expenditure.

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Area of Science:

  • Statistical Mechanics
  • Thermodynamics
  • Computational Physics

Background:

  • System configuration can be altered by changing parameters like temperature or magnetic fields.
  • Finite-duration manipulation requires excess work beyond equilibrium free-energy changes.

Purpose of the Study:

  • To design and analyze minimum-work protocols in multidimensional control spaces.
  • To reduce the excess work needed for system reconfiguration compared to one-dimensional protocols.

Main Methods:

  • Numerical minimization of a linear-response approximation for excess work.
  • Designing protocols in the control-parameter space of a 2D Ising model.
  • Driving the system from an all-down to an all-up configuration.

Main Results:

  • Multidimensional protocols efficiently avoid high-resistance regions in control space.
  • Protocols utilize heterogeneous work input/output for system relaxation.
  • Designed protocols flatten the energy landscape, reducing spin correlations and speeding up spin inversion.

Conclusions:

  • Multidimensional control offers significant work reduction for system reconfiguration.
  • These protocols maintain system proximity to equilibrium across various durations.
  • Optimized control strategies minimize resistance and excess work requirements.