@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 = {15729613},
journal = {Journal of Statistical Physics},
publisher = {Springer Nature},
title = {{Modeling of chemical reaction systems with detailed balance using gradient structures}},
doi = {10.1007/s10955-020-02663-4},
year = {2020},
}