Issue |
Europhys. Lett.
Volume 62, Number 1, April 2003
|
|
---|---|---|
Page(s) | 69 - 75 | |
Section | Condensed matter: structure, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2003-00363-0 | |
Published online | 01 March 2003 |
Exactly solvable model of reactions on a heterogeneous catalytic chain
1
Laboratoire de
Physique Théorique des Liquides, Université Paris VI 4
Place Jussieu, 75252 Paris Cedex 05, France
2
Laboratoire de Physique de la Matière Condensée,
Collège de France 11 Place M. Berthelot, 75252 Paris Cedex
05, France
3
Theoretische Polymerphysik, Universität Freiburg Hermann-Herder-Str. 3,
D-79104 Freiburg, Germany
Received:
4
November
2002
Accepted:
21
January
2003
We present an exact solution describing equilibrium properties of the catalytically activated reaction taking place on a one-dimensional lattice, where some of the sites possess special “catalytic” properties. The A-particles undergo continuous exchanges with the vapor phase; two neighboring adsorbed A's react when at least one of them resides on a catalytic site (CS). We consider three situations for the CS distribution: regular, annealed random and quenched random. For all three CS distribution types, we derive exact results for the disorder-averaged pressure and present exact asymptotic expressions for the particles' mean density.
PACS: 68.43.De – Statistical mechanics of adsorbates / 82.65.+r – Surface and interface chemistry; heterogeneous catalysis at surfaces
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.