In this section
@article{Chen:2022:10.1103/PhysRevE.106.044608,
author = {Chen, L and Lee, CF and Maitra, A and Toner, J},
doi = {10.1103/PhysRevE.106.044608},
journal = {Physical Review E: Statistical, Nonlinear, and Soft Matter Physics},
pages = {1--29},
title = {Hydrodynamic theory of two-dimensional incompressible polar active fluids with quenched and annealed disorder},
url = {http://dx.doi.org/10.1103/PhysRevE.106.044608},
volume = {106},
year = {2022}
}
TY - JOUR
AB - We study the moving phase of two-dimensional (2D) incompressible polar active fluids in the presence of both quenched and annealed disorder. We show that long-range polar order persists even in this defect-ridden two-dimensional system. We obtain the large-distance, long-time scaling laws of the velocity fluctuations using three distinct dynamic renormalization group schemes. These are an uncontrolled one-loop calculation in exactly two dimensions, and two d=(dc−ε) expansions to O(ε), obtained by two different analytic continuations of our 2D model to higher spatial dimensions: a “hard” continuation which has dc=73, and a “soft” continuation with dc=52. Surprisingly, the quenched and annealed parts of the velocity correlation function have the same anisotropy exponent and the relaxational and propagating parts of the dispersion relation have the same dynamic exponent in the nonlinear theory even though they are distinct in the linearized theory. This is due to anomalous hydrodynamics. Furthermore, all three renormalization schemes yield very similar values for the universal exponents, and therefore we expect the numerical values that we predict for them to be highly accurate.
AU - Chen,L
AU - Lee,CF
AU - Maitra,A
AU - Toner,J
DO - 10.1103/PhysRevE.106.044608
EP - 29
PY - 2022///
SN - 1539-3755
SP - 1
TI - Hydrodynamic theory of two-dimensional incompressible polar active fluids with quenched and annealed disorder
T2 - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
UR - http://dx.doi.org/10.1103/PhysRevE.106.044608
UR - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.106.044608
UR - http://hdl.handle.net/10044/1/99742
VL - 106
ER -
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