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Active XY model on a substrate: Density fluctuations and phase ordering.

Astik Haldar¹, Apurba Sarkar², Swarnajit Chatterjee³

¹Theory Division, Saha Institute of Nuclear Physics, A CI of Homi Bhabha National Institute, 1/AF Bidhannagar, Calcutta 700064, West Bengal, India.

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|October 18, 2023

Summary

This summary is machine-generated.

This study reveals novel scaling behaviors in active XY models with conservation laws, showing phase synchronization without hydrodynamic interactions. The system exhibits unique quasi-long-range order with tunable phase and density fluctuations.

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Area of Science:

Statistical Mechanics
Soft Matter Physics
Non-equilibrium Systems

Background:

Active matter systems exhibit complex behaviors driven by internal energy consumption.
Understanding phase ordering and fluctuations is crucial for active matter.
Conservation laws significantly influence the collective dynamics of active systems.

Purpose of the Study:

To explore the long-wavelength properties of an active XY model with a conserved species.
To investigate phase synchronization and scaling behavior in this non-equilibrium system.
To establish a correspondence between phase and density fluctuations.

Main Methods:

Monte Carlo simulations of an agent-based model.
Hydrodynamic theory for the system.
Analysis of scaling behavior and phase ordering.

Main Results:

Phase synchronization achieved without hydrodynamic interactions.
Novel scaling behavior with generalized quasi-long-range order (QLRO).
A one-to-one correspondence between phase ordering and density fluctuations, tunable via model parameters.
Identification of disordered states and stable clusters in other parameter regimes.

Conclusions:

The active XY model with conservation laws displays unique, tunable scaling properties.
The system can exhibit stable ordered phases with generalized QLRO, distinct from equilibrium systems.
The hydrodynamic theory connects this model to Kardar-Parisi-Zhang (KPZ) surface fluctuations, implying novel stable fluctuating surfaces.