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Dissipation significantly shapes large current fluctuations even far from equilibrium. This study proves a bound on these fluctuations, showing they are more likely than linear-response predictions suggest.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Stochastic Processes

Background:

  • Small fluctuations near equilibrium follow Gaussian distributions, with variance tied to dissipation.
  • Understanding large fluctuations far from equilibrium remains a key challenge in statistical physics.

Purpose of the Study:

  • To investigate the role of dissipation in structuring large current fluctuations.
  • To establish bounds on the large deviation function for currents in non-equilibrium systems.

Main Methods:

  • Analysis of Markov jump processes.
  • Derivation of a linear-response-like bound for large deviation functions.

Main Results:

  • Demonstration that dissipation dominates large fluctuations, even far from equilibrium.
  • Proof of a linear-response-like bound on the large deviation function for currents.
  • Finding that non-equilibrium current fluctuations are more probable than linear-response theory predicts.

Conclusions:

  • Dissipation's influence extends beyond near-equilibrium regimes to large fluctuations.
  • The derived bound provides new insights into the statistics of non-equilibrium currents.
  • Confirms a conjectured uncertainty bound on current fluctuation variance.