  Recent theoretical research on locally nonchaotic gravitational energy
barrier led to an interesting finding: beyond the boundaries of Boltzmann's
H-theorem, there may be macroscopic systems with nontrivial energy properties.
The fundamental mechanism is rooted in the intrinsically nonequilibrium steady
state. In the current investigation, we experimentally verify this concept,
with the weak gravitational force being changed to the strong Coulomb force.
The tests are performed on capacitive cells with the same nanoporous electrodes
and various electrolyte concentrations. The key characteristic is that the
nanopore size is only slightly larger than the ion size, less than twice the
ion size. The confinement effect of the nanopore walls plays the role of the
spontaneously nonequilibrium dimension (SND). At first glance, the capacitive
cells exhibit "normal" charge curves. However, their steady-state ion
distribution significantly differs from thermodynamic equilibrium. The measured
potential difference is nearly an order of magnitude larger than the prediction
of equilibrium thermodynamics. Such phenomena are in line with the molecular
dynamics simulations reported in the open literature.
