@article{8758,
  abstract     = {We consider various modeling levels for spatially homogeneous chemical reaction systems, namely the chemical master equation, the chemical Langevin dynamics, and the reaction-rate equation. Throughout we restrict our study to the case where the microscopic system satisfies the detailed-balance condition. The latter allows us to enrich the systems with a gradient structure, i.e. the evolution is given by a gradient-flow equation. We present the arising links between the associated gradient structures that are driven by the relative entropy of the detailed-balance steady state. The limit of large volumes is studied in the sense of evolutionary Γ-convergence of gradient flows. Moreover, we use the gradient structures to derive hybrid models for coupling different modeling levels.},
  author       = {Maas, Jan and Mielke, Alexander},
  issn         = {1572-9613},
  journal      = {Journal of Statistical Physics},
  number       = {6},
  pages        = {2257--2303},
  publisher    = {Springer Nature},
  title        = {{Modeling of chemical reaction systems with detailed balance using gradient structures}},
  doi          = {10.1007/s10955-020-02663-4},
  volume       = {181},
  year         = {2020},
}