0000000000059928

AUTHOR

J Mai

showing 2 related works from this author

A Lotka-type model for oscillations in surface reactions

1997

In this paper we introduce a reaction model on a lattice which leads to oscillations. The model consists of two monomolecular and one bimolecular reaction step and is related to the Lotka model. Despite the simple evolution rules, the model shows a complex behaviour (i.e. the appearance of oscillations). This offers us the opportunity to test different types of stochastic approximations and compare them with the results of a Monte Carlo simulation. The simulation is performed on a large lattice (L = 1024) in order to take long-range correlations into account. Comparing the results of this simulation with the stochastic approaches shows that only advanced numerical approximations are able to…

Reaction stepReaction modelLattice (order)Monte Carlo methodCorrelation analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsStatistical physicsSurface reactionMathematical PhysicsMathematicsJournal of Physics A: Mathematical and General
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The A + B → 0 reaction on a disordered lattice

1996

Abstract In this paper a stochastic model for the A + B → 0 reaction with creation of particles on a disordered surface is studied for d = 2 and d = 3 spatial dimensions. Densities and correlations of the particles are examined in detail. We find that the stationary state which exists for d = 3 in case of an ordered lattice vanishes in the case of a disordered lattice. A stationary state for d = 2 never exists.

PhysicsCondensed matter physicsStochastic modellingLattice (order)General Physics and AstronomyStationary statePhysics Letters A
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