Order-disorder transition in incompressible polar active fluids with an easy axis

Leiming Chen, Chiu Lee, John Toner (2026) Order-disorder transition in incompressible polar active fluids with an easy axis Phys Rev E (IF: 2.5) 113(5-1) 054142

Abstract

Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar active fluid that preferentially flows along a particular axis induced by the anisotropy of the medium. We then study its critical behavior at the order-disorder transition in which the symmetry between "forward" and "back" along the special axis is spontaneously broken. We obtain the critical static and dynamic exponents, mean velocity, and two-point correlation functions exactly in three dimensions, and to two-loop level in two dimensions, by mapping our class of systems to the equilibrium Ising model with dipolar interactions.

Links

http://www.ncbi.nlm.nih.gov/pubmed/42316593
http://dx.doi.org/10.1103/5zhk-xtk2

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