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Periodically driven thermodynamic systems under vanishingly small viscous drives.

Shakul Awasthi1, Sreedhar B Dutta2

  • 1Korea Institute for Advanced Study, School of Physics, Seoul 02455, Korea.

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Summary

We developed a new method to study driven thermodynamic systems at very low viscosity, revealing unique oscillating states. These states have practical applications in cooling and chemical reactions.

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Area of Science:

  • Thermodynamics
  • Non-equilibrium physics
  • Statistical mechanics

Background:

  • Periodically driven thermodynamic systems can achieve stable nonequilibrium oscillating states.
  • Low viscosity drives in these systems present unique challenges due to singular Langevin dynamics.
  • Understanding these exotic states is crucial for advancing beyond equilibrium physics.

Purpose of the Study:

  • To develop a theoretical method for probing driven thermodynamic systems in the low viscosity limit.
  • To identify and characterize novel oscillating states in this challenging regime.
  • To explore the practical applications of these discovered states.

Main Methods:

  • Application of singular perturbation theory.
  • Utilization of Floquet theory for driven systems.
  • Analysis of Langevin dynamics near vanishing viscosity.

Main Results:

  • A method is proposed to obtain oscillating states in the low viscosity limit.
  • Two distinct classes of distributions were identified in these states.
  • These distributions exhibit unique properties with potential for practical use.

Conclusions:

  • The proposed method successfully probes exotic nonequilibrium states in driven thermodynamic systems.
  • The identified distributions offer promising avenues for applications such as system cooling and controlled chemical reactions.
  • This work opens new possibilities for manipulating matter using weakly interacting driven environments.