ISSN:
1572-9613
Keywords:
Lattice gases
;
Schlögl model
;
reaction-diffusion equations
;
correlations
;
renormalization
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract A lattice gas model for Schlögl's second chemical reaction is described and analyzed. Because the lattice gas does not obey a semi-detailed-balance condition, the equilibria are non-Gibbsian. In spite of this, a self-consistent set of equations for the exact homogeneous equilibria are described, using a generalized cluster-expansion scheme. These equations are solved in the two-particle BBGKY approximation, and the results are compared to numerical experiment. It is found that this approximation describes the equilibria far more accurately than the Boltzmann approximation. It is also found, however, that it can give rise to spurious solutions to the equilibrium equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02179980
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