Ising-like critical behavior of vortex lattices in an active fluid
arXiv:2107.11130 · doi:10.1103/PhysRevLett.128.048004
Abstract
Turbulent vortex structures emerging in bacterial active fluids can be organized into regular vortex lattices by weak geometrical constraints such as obstacles. Here we show, using a continuum-theoretical approach, that the formation and destruction of these patterns exhibit features of a continuous second-order equilibrium phase transition, including long-range correlations, divergent susceptibility, and critical slowing down. The emerging vorticity field can be mapped onto a two-dimensional (2D) Ising model with antiferromagnetic nearest-neighbor interactions by coarse-graining. The resulting effective temperature is found to be proportional to the strength of the nonlinear advection in the continuum model.
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- Geometric frustration and pairing order transition in confined bacterial vortices
- Emergence of rogue-like waves in a reaction-diffusion system: Stochastic output from deterministic dissipative dynamics
- Controlling Vortex Rotation in Dry Active Matter
- Optimal Turbulent Transport in Microswimmer Suspensions