Fig. 1: Optimization of nanoreactor structure based on the Gaussian surface effect.

Schematic diagram of different Gaussian surfaces and their additional pressures (a, d) anisotropic-concave; b, e isotropic-spherical, and c, f anisotropic-convex. The white arrow represents the direction in which the liquid exerts force on the solid surface. The red arrow indicates the direction in which the solid surface exerts force on the liquid. The Gaussian curvature of a sphere can be simplified as K = 1/r2, r is the curvature radius. Adsorption pressure ΔPexternal = 2ϒ/r, where ϒ is the surface tension of the liquid. g 3D color mapping of cross-sectional temperature spatial distribution through molecular dynamics simulation with internal heat sources. h Variation of adsorption strength (ΔPexternal) and desorption strength (ΔPinternal) within the internally heated nanoreactors with respect to Gaussian curvatures. i Schematic diagram of self-pressurization and the additional pressure co-regulating molecular adsorption–desorption equilibrium in internally heated concave nanoreactors. j Simulation of flow field distributions corresponding to internally heated nanoreactors.