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math-ph2019
Orthogonality of Fluxes in General Nonlinear Reaction Networks
Johannes Zimmer, D. R. Michiel Renger
We consider the chemical reaction networks and study currents in these systems. Reviewing recent decomposition of rate functionals from large deviation theory for Markov processes,…
math.AP2019★ 3 cited
A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation
Jin Feng, Toshio Mikami, Johannes Zimmer
We study a class of Hamilton-Jacobi partial differential equations in the space of probability measures. In the first part of this paper, we prove comparison principles (implying u…