2015/06/30 by Jordan M. Horowitz · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #physics.chem-ph
published as J. Chem. Phys. 143, 044111 (2015) · 12 pages, 3 figures, corrected typos
arxiv created 2015/07/24 · arxiv updated 2017/07/04
The stochastic thermodynamics of a dilute, well-stirred mixture of chemically-reacting species is built on the stochastic trajectories of reaction events obtained from the Chemical Master Equation. However, when the molecular populations are large, the discrete Chemical Master Equation can be approximated with a continuous diffusion process, like the Chemical Langevin Equation or Low Noise Approximation. In this paper, we investigate to what extent these diffusion approximations inherit the stochastic thermodynamics of the Chemical Master Equation. We find that a stochastic-thermodynamic description is only valid at a detailed-balanced, equilibrium steady state. Away from equilibrium, where there is no consistent stochastic thermodynamics, we show that one can still use the diffusive solutions to approximate the underlying thermodynamics of the Chemical Master Equation.