Modeling of chemical reaction systems with detailed balance using gradient structures Maas, Jan ; https://orcid.org/0000-0002-0845-1338 Mielke, Alexander ddc:510 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. Springer Nature 2020 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/8758 https://research-explorer.ista.ac.at/download/8758/9087 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s10955-020-02663-4 info:eu-repo/semantics/altIdentifier/issn/0022-4715 info:eu-repo/semantics/altIdentifier/e-issn/1572-9613 info:eu-repo/semantics/altIdentifier/wos/000587107200002 info:eu-repo/semantics/altIdentifier/arxiv/2004.02831 info:eu-repo/semantics/altIdentifier/pmid/33268907 info:eu-repo/semantics/openAccess