article published yes Jan Maas author 4C5696CE-F248-11E8-B48F-1D18A9856A870000-0002-0845-1338 Alexander Mielke author JaMa department Optimal Transport and Stochastic Dynamics project Taming Complexity in Partial Differential Systems project 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. https://research-explorer.ista.ac.at/download/8758/9087/2020_JourStatPhysics_Maas.pdf application/pdfno https://creativecommons.org/licenses/by/4.0/ Springer Nature2020 eng 0022-4715 1572-9613 2004.02831 33268907 00058710720000210.1007/s10955-020-02663-4 18162257-2303 Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href="https://doi.org/10.1007/s10955-020-02663-4">https://doi.org/10.1007/s10955-020-02663-4</a>. J. Maas and A. Mielke, “Modeling of chemical reaction systems with detailed balance using gradient structures,” <i>Journal of Statistical Physics</i>, vol. 181, no. 6. Springer Nature, pp. 2257–2303, 2020. Maas, J., &#38; Mielke, A. (2020). Modeling of chemical reaction systems with detailed balance using gradient structures. <i>Journal of Statistical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s10955-020-02663-4">https://doi.org/10.1007/s10955-020-02663-4</a> Maas J, Mielke A. 2020. Modeling of chemical reaction systems with detailed balance using gradient structures. Journal of Statistical Physics. 181(6), 2257–2303. J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303. Maas J, Mielke A. Modeling of chemical reaction systems with detailed balance using gradient structures. <i>Journal of Statistical Physics</i>. 2020;181(6):2257-2303. doi:<a href="https://doi.org/10.1007/s10955-020-02663-4">10.1007/s10955-020-02663-4</a> Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” <i>Journal of Statistical Physics</i>, vol. 181, no. 6, Springer Nature, 2020, pp. 2257–303, doi:<a href="https://doi.org/10.1007/s10955-020-02663-4">10.1007/s10955-020-02663-4</a>. 87582020-11-15T23:01:18Z2025-06-12T07:01:39Z