Revisit of Macroscopic Dynamics for Some Non-equilibrium Chemical Reactions from a Hamiltonian Viewpoint

The vanishing discount problem for Hamilton–Jacobi equations in the Euclidean space

(2020) Hitoshi Ishii et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation

(2019) Richard C. Kraaij et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Large deviations and dynamical phase transitions in stochastic chemical networks

(2019) Alexandre Lazarescu et al.   JOURNAL OF CHEMICAL PHYSICS

Large Deviations of Jump Process Fluxes

(2019) Robert I. A. Patterson et al.   MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

Large deviations theory for Markov jump models of chemical reaction networks

(2018) Andrea Agazzi et al.   ANNALS OF APPLIED PROBABILITY

Flux Large Deviations of Independent and Reacting Particle Systems, with Implications for Macroscopic Fluctuation Theory

(2018) D. R. M. Renger   JOURNAL OF STATISTICAL PHYSICS

WKB theory of large deviations in stochastic populations

(2017) Michael Assaf et al.   Journal of Physics A-Mathematical and Theoretical

Large Deviations for Finite State Markov Jump Processes with Mean-Field Interaction Via the Comparison Principle for an Associated Hamilton–Jacobi Equation

(2016) Richard Kraaij   JOURNAL OF STATISTICAL PHYSICS

Mathematical Formalism of Nonequilibrium Thermodynamics for Nonlinear Chemical Reaction Systems with General Rate Law

(2016) Hao Ge et al.   JOURNAL OF STATISTICAL PHYSICS

Dissipation Bounds All Steady-State Current Fluctuations

(2016) Todd R. Gingrich et al.   PHYSICAL REVIEW LETTERS

On microscopic origins of generalized gradient structures

(2016) Matthias Liero et al.   Discrete and Continuous Dynamical Systems-Series S

A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced

(2015) Badal Joshi   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Macroscopic fluctuation theory

(2015) Lorenzo Bertini et al.   REVIEWS OF MODERN PHYSICS

Regularity and approximability of the solutions to the chemical master equation

(2014) Ludwig Gauckler et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Large deviations in stochastic heat-conduction processes provide a gradient-flow structure for heat conduction

(2014) Mark A. Peletier et al.   JOURNAL OF MATHEMATICAL PHYSICS

On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion

(2014) A. Mielke et al.   POTENTIAL ANALYSIS

Product-Form Stationary Distributions for Deficiency Zero Chemical Reaction Networks

(2010) David F. Anderson et al.   BULLETIN OF MATHEMATICAL BIOLOGY

A simple framework to justify linear response theory

(2010) Martin Hairer et al.   NONLINEARITY

Transition Path Theory for Markov Jump Processes

(2009) Philipp Metzner et al.   MULTISCALE MODELING & SIMULATION

Global Asymptotic Stability for a Class of Nonlinear Chemical Equations

(2008) David F. Anderson   SIAM JOURNAL ON APPLIED MATHEMATICS