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Updated: Jul 7, 2026
09:42
Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes
Published on: January 16, 2016
Exactly solvable model of reversible adsorption on a disordered substrate
1Department of Chemistry and Biochemistry, Duquesne University, Pittsburgh, Pennsylvania 15282-1530, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 1, 2008
Summary
This study explores particle adsorption on a 1D lattice with random site exclusion. A mapping to a pure system exists at infinite activity, but not at finite activity, except at low densities.
Area of Science:
- Statistical Mechanics
- Physical Chemistry
- Condensed Matter Physics
Background:
- Investigates reversible particle adsorption on a one-dimensional lattice.
- Considers adsorption on a finite fraction of randomly selected sites with nearest-neighbor exclusion.
Purpose of the Study:
- To analyze the relationship between a partially occupied lattice and a pure lattice system.
- To determine conditions under which a mapping between these systems exists.
Main Methods:
- Compares a model with randomly excluded sites to a pure system.
- Examines system behavior as activity approaches infinity and at finite activity.
- Analyzes susceptibilities to identify mapping conditions.
Main Results:
- A mapping exists between the partially occupied and pure systems at infinite activity and equal densities.
- No mapping is found at finite activity.
- The mapping holds up to second order in site density for small to moderate densities.
Conclusions:
- The presence of excluded sites significantly alters adsorption behavior compared to a pure system.
- Analytic mappings are limited to specific conditions (infinite activity or low/moderate densities).
- Proposes approximate methods for systems lacking analytic solutions.
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