A Route to the Hydrodynamic Limit of a Reaction-Diffusion Master Equation Using Gradient Structures
DOI10.1137/22m1488831zbMath1514.35006arXiv2201.02613OpenAlexW4367307446MaRDI QIDQ6045347
Stefanie Winkelmann, Christof Schütte, Unnamed Author
Publication date: 26 May 2023
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.02613
hydrodynamic limitdetailed balancereaction-diffusion partial differential equationreaction-diffusion master equationgradient structures
Interacting particle systems in time-dependent statistical mechanics (82C22) Reaction-diffusion equations (35K57) Variational methods applied to PDEs (35A15) Jump processes on discrete state spaces (60J74)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gradient flows of the entropy for jump processes
- Fluctuations in extended mass-action-law dynamics
- On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
- Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems
- Gradient flows of the entropy for finite Markov chains
- Global existence in reaction-diffusion systems with control of mass: a survey
- Stochastic methods. A handbook for the natural and social sciences
- High density limit theorems for nonlinear chemical reactions with diffusion
- Reaction-diffusion equations for interacting particle systems
- A paradigm for joined Hamiltonian and dissipative systems
- Large deviations for a reaction diffusion model
- Hydrodynamic limits for a two-species reaction-diffusion process.
- Bracket formulation of diffusion-convection equations
- Density-dependent limits for a nonlinear reaction-diffusion model
- Large deviations of the empirical currents for a boundary-driven reaction diffusion model
- Jump processes as generalized gradient flows
- Variance of filtered signals: characterization for linear reaction networks and application to neurotransmission dynamics
- Reaction-diffusion systems with initial data of low regularity
- Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading
- A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced
- An inequality connecting entropy distance, Fisher information and large deviations
- Variational approach to coarse-graining of generalized gradient flows
- Modeling of chemical reaction systems with detailed balance using gradient structures
- From interacting agents to density-based modeling with stochastic PDEs
- A probabilistic framework for particle-based reaction-diffusion dynamics using classical Fock space representations
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Large deviations in stochastic heat-conduction processes provide a gradient-flow structure for heat conduction
- A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
- Multiscale Thermo-Dynamics
- On A Class Of Doubly Nonlinear Evolution Equations
- Gamma-convergence of gradient flows with applications to Ginzburg-Landau
- How Reaction-Diffusion PDEs Approximate the Large-Population Limit of Stochastic Particle Models
- Mean Field Limits of Particle-Based Stochastic Reaction-Diffusion Models
- The Reaction-Diffusion Master Equation as an Asymptotic Approximation of Diffusion to a Small Target
- Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics
- Incorporating Diffusion in Complex Geometries into Stochastic Chemical Kinetics Simulations
- Solutions of ordinary differential equations as limits of pure jump markov processes
- Fluctuations and Irreversible Processes
- Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence
This page was built for publication: A Route to the Hydrodynamic Limit of a Reaction-Diffusion Master Equation Using Gradient Structures
