The Mechanism of Transport of Matter in Porous Sorbents

Abstract

The stochastic variational principle which applies to diffusions and extremises the mean value of the classical action is generalised to include non-Markovian diffusions. A whole family of different stochastic actions, labelled by a time-dependent parameter, is obtained and all of them are shown to lead to the Schrodinger equation. As a result, the well known degeneracy of the class of stochastic processes which correspond to a single quantum state is recovered. It is also related to an arbitrariness in the choice of the noise which can occur in two places: in the definition of the noise, through the time-dependent parameter, and in the auto-correlations of the noise which, although constant during the variational method, remain undetermined. The whole scheme is given a covariant form.

Influence of Depth on CO2/CH4 Sorption Ratio in Deep Coal Seams

“…It concerned the determination of the sorption half-time (t 0.5 ) and the value of the effective diffusion coefficient (D e ) for each of the tested coals. In order to estimate the diffusion coefficient, models based on the description of the pore structure of coal were used: the unipore [26][27][28][29] or bidisperse [30][31][32]. The most frequently used physical model is the unipore, referring to Fick's second law.…”

Divertor for a steady-state gas-dynamic trap

“…However, the inevitable violation of axial symmetry of plasma leads to a number of undesirable consequences, in particular, to the appearance of enhanced transverse transport [27]. Therefore, later much attention was paid to the search for axially symmetric magnetic field configurations that ensure the MHD stability of plasma [28][29][30][31][32][33][34][35][36][37][38][39][40].…”