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Identifying non-ideal reaction-diffusion systems unable to maintain diffusion out-of-equilibrium

Francesco Avanzini, Timur Aslyamov, Massimiliano Esposito
September 8, 2026
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Research Abstract & Technology Focus

We develop a general method, based on the construction of a kinetic potential serving as a Lyapunov function, to establish when diffusion necessarily equilibrates in non-ideal reaction-diffusion systems under arbitrary driving by autonomous homogeneous chemostats. This equilibration of diffusion implies vanishing diffusion currents and homogeneous chemical potentials, while reactions can remain far from equilibrium. Using this method, we generalize the results of Avanzini et al., J. Chem. Phys. 161, 174108 (2024), by relaxing some of the underlying assumptions. Specifically, we show that diffusion equilibrates in reaction-diffusion systems whose chemical reaction network is either pseudo-detailed balanced, with reaction fluxes controlled by the stoichiometry of reactants and products, or complex balanced, with reaction fluxes controlled only by the stoichiometry of the reactants. These different constraints on the reaction fluxes are shown to originate from the distinct stoichiometric properties of the two classes of networks.
Stoichiometry Diffusion Reaction–diffusion system Homogeneous Chemical reaction Thermodynamics
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What is the core focus of the research titled 'Identifying non-ideal reaction-diffusion systems unable to maintain diffusion out-of-equilibrium'?

This literature focuses on: We develop a general method, based on the construction of a kinetic potential serving as a Lyapunov function, to establish when diffusion necessarily equilibrates in non-ideal reaction-diffusion systems under arbitrary driving by autonomous homoge...

Are there open-source GitHub repositories related to Identifying non-ideal reaction-diffusion systems unable to maintain diffusion out-of-equilibrium?

Yes, open-source projects like nv-tlabs/PiD (PiD: Fast and High-Resolution Latent Decoding with Pixel Diffusion) are actively building upon these concepts.

What other academic literature is closely related to 'Identifying non-ideal reaction-diffusion systems unable to maintain diffusion out-of-equilibrium'?

Yes, highly correlated activity was mapped. An entry titled 'Lattice Boltzmann model for non-ideal compressible fluid dynamics' discusses this: We present a new kinetic model and its lattice Boltzmann realisation for the simulation of compressible, non-ideal fluid flows. The method employs ...

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