Hydrostatic pressure in granular environment

The problem is that to date there no general theory of the granular state matter in a closed form. However, are some well-developed models use, for example, representation continuous environment. Typical bulk material large conglomeration micro-mechanical particles different sizes and shapes interact with each other walls contain containers by mainly repulsive forces direct mechanical contact (by nature it electromagnetic origin – dry viscous friction forces, as well traction).In proposed work study pressure multiparticle system, model lattice gas gravitational field considered. Analysis determination free energy entropy allowed us establish corresponding equilibrium density profile, which described Fermi-type function. Fermi profile form was used find vertical hydrostatic analytical expression obtained. Hydrostatic from known relations derived condensed matter. obtained results confirmed experimental observations, indicate complex, anisotropic significantly distribution even conglomerations discrete particles. Which really repeats distribution. stimulate revision typical ratios hydrostatics media, such Pascal's laws. Torricelli, Archimedes Bernoulli case (granular) systems. conclusions can be significant design evaluation operating parameters storage, release transportation cargo, consist degrees compaction compaction.