• Corpus ID: 216553505

The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions

@article{Raquepas2020TheLA,
  title={The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions},
  author={Renaud Raqu'epas},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
We investigate the behaviour of a family of entropy production functionals associated to stochastic differential equations of the form $\mathrm{d} X_s = -\nabla V(X_s) \, \mathrm{d} s + b(X_s) \, \mathrm{d} s + \sqrt{2\epsilon} \, \mathrm{d} W_s $, where $b$ is a globally Lipschitz nonconservative vector field keeping the system out of equilibrium, with emphasis on the large-time limit and then the vanishing-noise limit. Different members of the family correspond to different choices of… 

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