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Active XY model on a substrate: Density fluctuations and phase ordering by Haldar, Astik; Sarkar, Apurba; Chatterjee, Swarnajit; Basu, Abhik is a scholarly article available to read on EtoBox.

What is Active XY model on a substrate: Density fluctuations and phase ordering about?

We explore the generic long wavelength properties of an active XY model on a substrate, consisting of collection of nearly phase-ordered active XY spins in contact with a diffusing, conserved species, as a representative system of active spinners with a conservation law. The spins rotate actively in response to the local density fluctuations and local phase differences, on a solid substrate. We investigate this system by Monte-Carlo simulations of an agent-based model, which we set up, complemented by the hydrodynamic theory for the system. We demonstrate that this system can phase-synchronize without any hydrodynamic interactions. Our combined numerical and analytical studies show that this model, when stable, displays hitherto unstudied scaling behavior: As a consequence of the interplay between the mobility, active rotation and number conservation, such a system can be stable over a wide range of the model parameters characterized by a novel correspondence between the phase and density fluctuations. In different regions of the phase space where the phase-ordered system is stable, it shows phase ordering which is generically either logarithmically stronger than the conventional q

Author

Haldar, Astik; Sarkar, Apurba; Chatterjee, Swarnajit; Basu, Abhik

Published

2021

Language

EN