Long-range phase order in two dimensions under shear flow

Abstract

We theoretically and numerically investigate a two-dimensional O(2) model where an order parameter is convected by shear flow. We show that a long-range phase order emerges in two dimensions as a result of anomalous suppression of phase fluctuations by the shear flow. Furthermore, we use the finite-size scaling theory to demonstrate that a phase transition to the long-range ordered state from the disordered state is second order. At a transition point far from equilibrium, the critical exponents turn out to be close to the mean-field value for equilibrium systems.

arXiv comment21 pages, 14 figures

References in corpus (29)

• Novel type of phase transition in a system of self-driven particles
• Flocks, herds, and schools: A quantitative theory of flocking
• The two dimensional XY model at the transition temperature: A high precision Monte Carlo study
• Long-range nematic order and anomalous fluctuations in suspensions of swimming filamentous bacteria
• Two-scale competition in phase separation with shear
• Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks
• Asymmetric exchange in flocks
• Slow relaxation in the large N model for phase ordering
• Origins and diagnostics of the nonequilibrium character of active systems
• Finite-Size Scaling in Two-Dimensional Superfluids
• Dynamic behavior of anisotropic non-equilibrium driving lattice gases
• Classification of Stochastic Runge-Kutta Methods for the Weak Approximation of Stochastic Differential Equations
• Non-equilibrium phase transition in an exactly solvable driven Ising model with friction
• Shear-induced Transitions in Ternary Polymeric System
• Gliding filament system giving both orientational order and clusters in collective motion
• Existence of long-range order in the steady state of a two dimensional, two-temperature XY model
• Anomalous Pressure in Fluctuating Shear Flow
• Ordering of the lamellar phase under a shear flow
• Finite-Size Scaling in the Driven Lattice Gas
• Strongly anisotropic non-equilibrium phase transition in Ising models with friction
• Classical XY Model in 1.99 Dimensions
• Correlation Functions and Fluctuation-Dissipation Relation in Driven Mixtures: an exactly solvable model
• Hohenberg-Mermin-Wagner type theorems for equilibrium models of flocking
• Spatial correlations in sheared isothermal liquids : From elastic particles to granular particles
• Monte Carlo study of the phase transition in the Critical behavior of the Ising model with shear
• Sheared Ising models in three dimensions
• Phase Diagram for a 2-D Two-Temperature Diffusive XY Model
• Shear-induced quench of long-range correlations in a liquid mixture
• Shear-induced criticality near a liquid-solid transition of colloidal suspensions

Cited by in corpus (14)

• Two-dimensional crystals far from equilibrium
• Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice
• Augmenting Density Matrix Renormalization Group with Disentanglers
• Enhancing (quasi-)long-range order in a two-dimensional driven crystal
• Correlated Noise and Critical Dimensions
• Universal properties of repulsive self-propelled particles and attractive driven particles
• Long-range translational order and hyperuniformity in two-dimensional chiral active crystal
• Stochastic order parameter dynamics for phase coexistence in heat conduction
• Harmonic chain far from equilibrium: single-file diffusion, long-range order, and hyperuniformity
• Continuous symmetry breaking of low-dimensional systems driven by inhomogeneous oscillatory driving forces
• From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model
• Shearing effects on the phase coarsening of binary mixtures using the Active Model B
• Divergent stiffness of one-dimensional growing interfaces
• Machine learning analysis of dimensional reduction conjecture for nonequilibrium Berezinskii-Kosterlitz-Thouless transition in three dimensions