Porennetze

Porennetze describes a class of networks with a porous topology where matter, energy, or information diffuses through interconnected pores. The term combines 'porous' and 'netze' (networks) and is used mainly in materials science, geology, and network theory to discuss how porosity and connectivity influence transport processes. Porennetze can be two- or three-dimensional and may exhibit regular lattice-like or irregular fractal structures. Key parameters include porosity (the fraction of void space), pore-size distribution, connectivity, and tortuosity, which collectively determine percolation and transport regimes.

In many porennetze, transport occurs by diffusion or advection through channels; the percolation threshold marks the transition between disconnected and connected conductive pathways.

Applications include filtration, catalysis, energy storage (porous electrodes in batteries and supercapacitors), separation membranes, and tissue engineering scaffolds.

To study porennetze, researchers use pore-network modeling, continuum approaches like Darcy's law, and percolation theory; computational methods include Lattice-Boltzmann, Monte Carlo, and finite-element simulations.

Examples range from natural bone and wood to synthetic aerogels, foams, and metal-organic frameworks. Challenges include achieving controlled pore size distributions, mechanical stability, fouling, and scaling. See also porous material, percolation theory, pore-network modeling, and Darcy's law.