On microscopic origins of generalized gradient structures

@article{Liero2015OnMO,
  title={On microscopic origins of generalized gradient structures},
  author={Matthias Liero and Alexander Mielke and Mark A. Peletier and D. R. Michiel Renger},
  journal={arXiv: Analysis of PDEs},
  year={2015}
}
Classical gradient systems have a linear relation between rates and driving forces. In generalized gradient systems we allow for arbitrary relations derived from general non-quadratic dissipation potentials. This paper describes two natural origins for these structures. A first microscopic origin of generalized gradient structures is given by the theory of large-deviation principles. While Markovian diffusion processes lead to classical gradient structures, Poissonian jump processes give rise… 

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