2012/09/12 by Panos Argyrakis, Raoul Kopelman · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Chemical physics #Chemistry #Diffusion #Exponential function #Homogeneous #Mathematical analysis #Mathematics #Mobilities #Monte Carlo method #Physics #Scaling #Space (punctuation) #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2013-30763-6
published in The European Physical Journal B 86(4) (Springer Science+Business Media)
arxiv created 2012/09/12 · openalex publication_date 2013/04/01 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the A+B=0 bimolecular chemical reaction taking place in low-dimensional spaces when the mobilities of the two reacting species are not equal. While the case of different reactant mobilities has been previously reported as not affecting the scaling of the reactant densities with time, but only the pre-exponential factor, the mechanism for this had not been explained before. By using Monte-Carlo simulations we show that the nature of segregation is very different when compared to the normal case of equal reactant mobilities. The clusters of the mobile species are statistically homogeneous and randomly distributed in space, but the clusters of the less mobile species are much more compact and restricted in space. Due to the asymmetric mobilities, the initial symmetric random density fluctuations in time turn into asymmetric density fluctuations. We explain this trend by calculating the correlation functions for the positions of particles for the several different cases.