Reciprocal Relations Between Kinetic Curves

@article{Yablonsky2010ReciprocalRB,
  title={Reciprocal Relations Between Kinetic Curves},
  author={G. Yablonsky and Alexander N. Gorban and D. Constales and V. Galvita and G. Marin},
  journal={arXiv: Statistical Mechanics},
  year={2010}
}
We study coupled irreversible processes. For linear or linearized kinetics with microreversibility, $\dot{x}=Kx$, the kinetic operator $K$ is symmetric in the entropic inner product. This form of Onsager's reciprocal relations implies that the shift in time, $\exp (Kt)$, is also a symmetric operator. This generates the reciprocity relations between the kinetic curves. For example, for the Master equation, if we start the process from the $i$th pure state and measure the probability $p_j(t)$ of… Expand

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