Reaction-Diffusion Processes on Interconnected Scale-Free Networks

We study the two-particle annihilation reaction A+B→∅ on interconnected scale-free networks, using different interconnecting strategies. We explore how the mixing of particles and the process evolution are influenced by the number of interconnecting links, by their functional properties, and by the interconnectivity strategies in use. We show that the reaction rates on this system are faster than what was observed in other topologies, due to the better particle mixing that suppresses the segregation effect, in line with previous studies performed on single scale-free networks.

[1]  S. Redner,et al.  A Kinetic View of Statistical Physics , 2010 .

[2]  J. W.,et al.  The Journal of Physical Chemistry , 1900, Nature.

[3]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[4]  Reuven Cohen,et al.  Complex Networks: Structure, Robustness and Function , 2010 .

[5]  Giorgio Parisi,et al.  Physica A: Statistical Mechanics and its Applications: Editorial note , 2005 .

[6]  B. Bollobás,et al.  Combinatorics, Probability and Computing , 2006 .

[7]  October I Physical Review Letters , 2022 .

[8]  Taylor Francis Online,et al.  Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond , 2006, cond-mat/0606771.

[9]  Jerrold R. Griggs,et al.  Journal of Combinatorial Theory, Series A , 2011 .

[10]  Journal of Chemical Physics , 1932, Nature.

[11]  N. Rashevsky,et al.  Mathematical biology , 1961, Connecticut medicine.

[12]  Mark Newman,et al.  Networks: An Introduction , 2010 .

[13]  S. A. Dodds,et al.  Chemical Physics , 1877, Nature.

[14]  W. Ebeling Stochastic Processes in Physics and Chemistry , 1995 .

[15]  E. Kandel,et al.  Proceedings of the National Academy of Sciences of the United States of America. Annual subject and author indexes. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[16]  Sergey Sorokin,et al.  Manifold cities: social variables of urban areas in the UK , 2018, Proceedings of the Royal Society A.