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DY: Fachverband Dynamik und Statistische Physik
DY 28: Pattern Formation and Reaction-Diffusion Systems
DY 28.5: Vortrag
Dienstag, 17. März 2020, 11:00–11:15, ZEU 147
Phase transition in a biased reaction-diffusion system — •Pratik Mullick1,2 and Parongama Sen2 — 1Department of Physics and Astronomy ‘Galileo Galilei’, University of Padova, Via Francesco Marzolo 8, 35131 Padova, Italy — 2Department of Physics, University of Calcutta, 92 APC Road, Kolkata 70009, India
Reaction diffusion systems being a prototype model for pattern formation have shown diverse applications in several complex systems. Different categories of reaction diffusion systems depends on the number and types of the reactants. The simplest is the single species reaction diffusion system generally described as as kA → lA. We consider a two dimesnional lattice, on which the particles A are biased to move towards their nearest neighbours and annihilate when they arrive at the same site; A + A → ∅. Several systems with interacting entities e.g. bacteria and antibiotics, predators and preys, individuals in a society can be studied using reaction diffusion models with a bias, which can be either positive or negative. Any nonzero bias is seen to drastically affect the behaviour of the system compared to the unbiased (diffusive) case. For positive bias, the system shows formation of dimers, which are isolated pairs of particles located in nearest neighbouring positions with no other particles around, while for negative bias a finite density of particles are seen to survive in the system. Both the quantities vanish in a power-law manner close to the diffusive limit with different exponents. The results indicate the presence of a continuous phase transition at the diffusive point.
Journal reference: Phys. Rev. E 99, 052123 (2019).