Scaling of Energy Dissipation in Nonequilibrium Reaction Networks

Abstract

The energy dissipation rate in a nonequilibirum reaction system can be determined by the reaction rates in the underlying reaction network. By developing a coarse-graining process in state space and a corresponding renormalization procedure for reaction rates, we find that energy dissipation rate has an inverse power-law dependence on the number of microscopic states in a coarse-grained state. The dissipation scaling law requires self-similarity of the underlying network, and the scaling exponent depends on the network structure and the flux correlation. Implications of this inverse dissipation scaling law for active flow systems such as microtubule-kinesin mixture are discussed.

arXiv comment6 (main text)+ 21 (supplemental information) pages, 4+9 figures, 1 supplemental table

References in corpus (16)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• Self-similarity of complex networks
• Spontaneous motion in hierarchically assembled active matter
• Stochastic thermodynamics under coarse-graining
• How to calculate the fractal dimension of a complex network: the box covering algorithm
• Broken detailed balance and non-equilibrium dynamics in living systems
• The Energetic Costs of Cellular Computation
• The free energy cost of accurate biochemical oscillations
• Scale-free Networks on Lattices
• Small world-Fractal Transition in Complex Networks: Renormalization Group Approach
• Nonequilibrium thermodynamics of coupled molecular oscillators: The energy cost and optimal design for synchronization
• Geographical Coarsegraining of Complex Networks
• Irreversible Thermodynamics in Multiscale Stochastic Dynamical Systems
• Entropy production for coarse-grained dynamics
• Entropy production in Master Equations and Fokker-Planck Equations: facing the coarse-graining and recovering the information loss

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