Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 39: Pattern Formation and Reaction-Diffusion Systems

DY 39.1: Vortrag

Donnerstag, 8. September 2022, 10:00–10:15, H19

Dynamics of tagged particles in a biased A + A → ∅ system in one dimension : result for asynchronous and parallel updates — •Reshmi Roy¹, Parongama Sen¹, and Purusattam Ray² — ¹University of Calcutta, Kolkata, India — ²IMSC, Chennai, India

We have studied dynamical features of tagged particles in one dimensional A+A→∅ system, where the particles A have a bias є such that they move towards their nearest neighbour with the probability 0.5+є and move in the opposite direction with probability 0.5−є and annihilate on contact. We found that for є>0 when asynchronous dynamics is used to update the system, probability distribution Π(x,t) of the particles shows a double peak structure with a dip at x=0 and it assumes a double delta form at very late time regime. For any є>0, there is a crossover at time t^*, below which the particle motions are highly correlated, and beyond t^*, the particles move as independent biased walkers. When we use parallel updating rule, Π(x, t) shows a non-Gaussian single peaked structure and the fraction of surviving particle ρ(t) shows a lnt/t variation. For the deterministic point є=0.5, we found that an isolated pair of particles, termed as dimers, can survive indefinitely in the system which is exclusive for parallel dynamics. When є is made negative, Π(x, t) becomes Gaussian as found in є=0. A comparative analysis for the relevant quantities using asynchronous and parallel dynamics shows that there are significant differences for є>0 while the results are qualitatively similar for є<0.

Journal Ref: J. Phys. A: Math. Theor. 53, 155002 (2020), J. Phys. A: Math. Theor. 53, 405003 (2020), Physica A 97569, 125754 (2021).