The XY model with vision cone: non-reciprocal vs. reciprocal interactions
arXiv:2412.19297 · doi:10.1088/1742-5468/adc243
Abstract
We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal implementations of these interactions. The corresponding energy involves couplings that depend non-trivially on the system's configuration, leading to both long-range and quasi-long-range ordered phases at low temperatures. Our results demonstrate that non-reciprocity is not essential for achieving long-range order at low temperatures. Using symmetry arguments, we provide a theoretical framework to explain these findings, and additionally we uncover an unexpected order-by-disorder transition.
19+5 pages, 13+4 figures
References in corpus (31)
- Novel type of phase transition in a system of self-driven particles
- Hierarchical group dynamics in pigeon flocks
- Non-reciprocal robotic metamaterials
- Topological active matter
- Odd elasticity
- Odd dynamics of living chiral crystals
- Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
- Self-organised complex aerial displays of thousands of starlings: a model
- Large-scales patterns in a minimal cognitive flocking model: incidental leaders, nematic patterns, and aggregates
- Synchronization and Collective Dynamics in a Carpet of Microfluidic Rotors
- The two dimensional XY model at the transition temperature: A high precision Monte Carlo study
- Phase Diagram and Quantum Order by Disorder in the Kitaev - Honeycomb Magnet
- Pairing, waltzing and scattering of chemotactic active colloids
- Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks
- Asymmetric exchange in flocks
- Long-range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions
- Critical properties of the two-dimensional -state clock model
- Kuramoto model for excitation-inhibition-based oscillations
- Entropy production as tool for characterizing nonequilibrium phase transitions
- How many dissenters does it take to disorder a flock?
- Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model
- Berezinskii-Kosterlitz-Thouless transition on regular and Villain types of -state clock models
- Effect of Vision Angle on the Phase Transition in a Flocking Behavior of Animal Groups
- Metastability of Constant-Density Flocks
- Entropy production at criticality in a nonequilibrium Potts model
- Non-symmetric interactions trigger collective swings in globally ordered systems
- Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
- Non-reciprocal interactions spatially propagate fluctuations in a 2D Ising model
- Collective response to local perturbations: how to evade threats without losing coherence
- The Kosterlitz-Thouless phase transition: an introduction for the intrepid student
- Non-reciprocal interactions preserve the universality class of Potts model