Equilibrium stochastic delay processes

  title={Equilibrium stochastic delay processes},
  author={Viktor Holubec and Artem Ryabov and Sarah A. M. Loos and Klaus Kroy},
  journal={New Journal of Physics},
Stochastic processes with temporal delay play an important role in science and engineering whenever finite speeds of signal transmission and processing occur. However, an exact mathematical analysis of their dynamics and thermodynamics is available for linear models only. We introduce a class of stochastic delay processes with nonlinear time-local forces and linear time-delayed forces that obey fluctuation theorems and converge to a Boltzmann equilibrium at long times. From the point of view of… 

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