Surface rearrangement at complex adsorbate–substrate interfaces

Abstract

On the basis of the information theory approach we propose a novel statistical scheme for analyzing the evolution of coupled adsorbate-substrate systems, in which the substrate undergoes the adsorbate-induced transformations. A relation between the substrate morphology and the adsorbate thermodynamic state is established. This allows one to estimate the surface structure in terms of incomplete experimental information and the one concerning the adsorbate thermodynamic response to the structural modifications.

Interplay of host volume variations and internal distortions in the course of intercalation into disordered matrices

“…For thin films ͑negative K or B͒ we have to spend energy in order to induce both distortions and volume dilatation ͑presumably because of a stronger influence of the film support͒. Interestingly that a quite similar crossover from a quenched to an adsorbate-induced roughness has recently been reported 20 for HCL adsorption on ice films of varying thickness. In the context of the present work the crossover is due to an interplay of the film volume dilatation and the insertion-induced internal distortions.…”

Maximum entropy approach to power-law distributions in coupled dynamic-stochastic systems

“…In that case the distribution (17) does not change and the exponent λ is determined by the distance from the equilibrium state µ ′ (β|ρ i = ρ).…”

“…Maximizing H under the constraint (1) and requiring the normalization for f (β) we get the following conditional distribution f (β) = f (β|ρ) [17] f (β|ρ) = e −κθ(ρ|β)…”

“…In this case it is natural to restrict the phase space by constraining the thermodynamic entropy S(ρ|β). This idea was shortly discussed in a slightly different context [17,25]. Therefore, we set θ(ρ|β) = S(ρ|β), T (ρ) = Σ(ρ).…”

“…Moreover, in many cases (e.g. optimal control [16] or insertion into flexible environments [17]) the two counterparts are strongly coupled and the background statistics is (or should be) conditional to the system properties. In that case the background evolution cannot be modelled as a process (e.g.…”