• DOI:10.1080/1539445X.2021.1937223
• Corpus ID: 235212371

Domain Growth in the Active Model B: Critical and Off-critical Composition

@article{Pattanayak2021DomainGI,
  title={Domain Growth in the Active Model B: Critical and Off-critical Composition},
  author={Sudipta Pattanayak and Shradha Mishra and Sanjay Puri},
  journal={Soft Materials},
  year={2021},
  volume={19},
  pages={286 - 296}
}

• Sudipta Pattanayak, Shradha Mishra, S. Puri
• Published 27 May 2021
• Materials Science
• Soft Materials

ABSTRACT We study the ordering kinetics of an assembly of active Brownian particles (ABPs) on a two-dimensional substrate. We use a coarse-grained equation for the composition order parameter ,where and denote space and time, respectively. The model is similar to the Cahn-Hilliard equation orModel B (MB) for a conserved order parameter with an additional activity term of strength . This model has been introduced by Wittkowski et al., Nature Comm. 5, 4351 (2014), and is termed Active Model B (AMB). We study domain growth kinetics and dynamical scaling of the correlation function for the AMB with critical and off-critical compositions. The quantity governs the asymptotic growth kinetics for the off-critical AMB, where denotes the average order parameter. For negative ,the domain growth law is the usual Lifshitz-Slyozov growth law with . For positive ,the growth law shows a crossover to a novel growth law . Further, the correlation function shows good dynamical scaling for the off-critical AMB but the scaling function has a dependency on and . We also study the effects of both additive and multiplicative noise on the AMB.