Reversal symmetries for cyclic paths away from thermodynamic equilibrium.

@article{Biddle2019ReversalSF,
  title={Reversal symmetries for cyclic paths away from thermodynamic equilibrium.},
  author={John W. Biddle and Jeremy Gunawardena},
  journal={Physical review. E},
  year={2019},
  volume={101 6-1},
  pages={
          062125
        }
}
If a system is at thermodynamic equilibrium, an observer cannot tell whether a film of it is being played forward or in reverse: any transition will occur with the same frequency in the forward as in the reverse direction. However, if expenditure of energy changes the rate of even a single transition to yield a nonequilibrium steady state, such time-reversal symmetry undergoes a widespread breakdown, far beyond the point at which the energy is expended. An explosion of interdependency also… 
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