Scaling laws in adsorption on bivariate surfaces

Abstract

The adsorption of particles with nearest-neighbor attractive and repulsive interactions is studied through Monte Carlo simulation on bivariate surfaces characterized by patches of weak and strong adsorbing sites of size l. Patches are considered to have either a square or a strip geometry and they can be either arranged in a deterministic ordered structure or in a random way. Quantities are identified that scale obeying power laws as a function of the scale length l. The consequences of this finding are discussed for the determination of the energetic topography of the surface from adsorption measurements.

Determination of the energetic topography of bivariate heterogeneous surfaces from adsorption isotherms

“…As discussed previously (Bulnes et al 2001(Bulnes et al , 2002(Bulnes et al , 2007Romá et al 2003), the application of scaling laws to characterize the topography of heterogeneous surfaces from adsorption isotherms requires of the knowledge of the function θ vs μ in a reference state, θ R (μ). In practice, the calculation of θ R (μ) can be rigorously accomplished by analytical methods in only a very few cases.…”

“…In this sense, a method for characterization of bivariate heterogeneous surfaces from adsorption measurements has recently been proposed (Bulnes et al 2001(Bulnes et al , 2002(Bulnes et al , 2007Romá et al 2003). The method allows to obtain the topography of a given surface from the knowledge of the corresponding adsorption isotherm and a reference curve.…”

“…These findings provide for a method to characterize the energetic topography (i.e., obtain the parameters from experimental measurements) of a class of heterogeneous surfaces, which can be approximately represented as surfaces with two kind of sites. Following this scheme, adsorption on bivariate surfaces with square-patches and strip topographies was studied through Monte Carlo simulations for the case of particles with nearest-neighbor interaction energy, at a fixed temperature such that k B T = 1 (k B being the Boltzmann constant and T the temperature) (Bulnes et al 2001(Bulnes et al , 2002. Later, the study was extended to include the effects of temperature on the adsorption process (Romá et al 2003).…”

Quantum Intentionality and Determination of Realities in the Space-Time Through Path Integrals and Their Integral Transforms

“…This magnetic conscience is generating by the proper particles of the ship structure transmitted for the interaction of superconductor inside the reactor with the magnetic field generated by the rotating rings under the ship. By so doing, the Eddy's currents in the "skin effect" around the structure of the ship are given by the actions [35] ship M rot ,…”

“…The blue flux represents Eddy's currents that interact with the lines of magnetic field to produce an diamagnetic effect in the top part of the vehicle. The red central ring is the magnetic field that generates the twistor surface (this computational simulation is published in [35,36]). b) Top part of the flying plate showing the generation of the effect skin obtained in the interaction superconductor -magnetic field.…”