Surface diffusion in narrow channels on curved domains

Entropy Production in Reaction–Diffusion Systems Confined in Narrow Channels

“…It would also be intriguing to explore the impact of geometrical effects on entropy production in non-reversible systems, as in [ 7 , 8 , 10 ], particularly on systems where the reaction kinetics are influenced by the position and distance between species, as in [ 49 ]. A comprehensive approach could involve expanding the parameter space to include the geometrical aspects of confinement, such as slope or curvature within the local Fick–Jacobs approach, as well as tortuosity, availability, or porosity, and constriction in the context of effective theory [ 46 , 54 ]. Such an investigation would require more demanding numerical analyses, which we aim to undertake in forthcoming studies.…”

“…It focuses on the longitudinal motion by projecting along the channel axis, resulting in an effective one-dimensional equation with a position-dependent diffusion coefficient [ 33 ]. Numerous studies have proposed different functions of this diffusion coefficient under diverse conditions, such as in symmetrical channels [ 34 , 35 , 36 , 37 ], asymmetrical channels [ 38 , 39 , 40 ], channels with curved midlines [ 41 , 42 , 43 ], or on curved surfaces [ 44 , 45 , 46 ]. Additionally, confinement effects on chemical reactions [ 47 ] and pattern formation in reaction–diffusion systems [ 48 ], including diffusive predator–prey models [ 49 ] and long-range effects [ 50 ], were also explored.…”