Hessian geometry of nonequilibrium chemical reaction networks and entropy production decompositions
We derive the Hessian geometric structure of nonequilibrium chemical reaction networks on
the flux and force spaces induced by the Legendre duality of convex dissipation functions …
the flux and force spaces induced by the Legendre duality of convex dissipation functions …
On the role of geometry in statistical mechanics and thermodynamics. I. Geometric perspective
This paper contains a fully geometric formulation of the General Equation for Non-
Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is the …
Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is the …
Information geometry of dynamics on graphs and hypergraphs
We introduce a new information-geometric structure associated with the dynamics on
discrete objects such as graphs and hypergraphs. The presented setup consists of two …
discrete objects such as graphs and hypergraphs. The presented setup consists of two …
Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective
Macroscopic equations arising out of stochastic particle systems in detailed balance (called
dissipative systems or gradient flows) have a natural variational structure, which can be …
dissipative systems or gradient flows) have a natural variational structure, which can be …
The Geometry of Thermodynamic Uncertainty Relations in Chemical Reaction Networks
Recently, Hessian geometry-an extension of information geometry-has emerged as a
framework to naturally connect the geometries appearing in the theory of chemical reaction …
framework to naturally connect the geometries appearing in the theory of chemical reaction …
EDP-convergence for a linear reaction-diffusion system with fast reversible reaction
A Stephan - Calculus of Variations and Partial Differential …, 2021 - Springer
We perform a fast-reaction limit for a linear reaction-diffusion system consisting of two
diffusion equations coupled by a linear reaction. We understand the linear reaction-diffusion …
diffusion equations coupled by a linear reaction. We understand the linear reaction-diffusion …
Orthogonality of fluxes in general nonlinear reaction networks
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 …
recent decomposition of rate functionals from large deviation theory for Markov processes …
Macroscopic Fluctuation Theory versus large-deviation-induced GENERIC
DR Renger - arxiv preprint arxiv:2402.04092, 2024 - arxiv.org
Recent developments in Macroscopic Fluctuation Theory show that many interacting particle
systems behave macroscopically as a combination of a gradient flow with Hamiltonian …
systems behave macroscopically as a combination of a gradient flow with Hamiltonian …
Geometry of nonequilibrium chemical reaction networks and generalized entropy production decompositions
We derive the Hessian geometric structure of nonequilibrium chemical reaction networks
(CRN) on the flux and force spaces induced by the Legendre duality of convex dissipation …
(CRN) on the flux and force spaces induced by the Legendre duality of convex dissipation …
On geometry of multiscale mass action law and its fluctuations
The classical mass action law in chemical kinetics is put into the context of geometric
multiscale thermodynamics, which allows for description of chemical reactions with inertial …
multiscale thermodynamics, which allows for description of chemical reactions with inertial …