Imperial College London
Portrait Picture

DrChiu FanLee

Faculty of Engineering, Department of Bioengineering

Reader in Theoretical Biophysics
 
 
 
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Contact

 

+44 (0)20 7594 6493c.lee Website

 
 
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Location

 

3.17Royal School of MinesSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Lee:2016:10.1038/ncomms12215,
author = {Lee, C and Chen, L and Toner, J},
doi = {10.1038/ncomms12215},
journal = {Nature Communications},
title = {Mapping two-dimensional polar active fluids to two-dimensional soap and one-dimensional sandblasting},
url = {http://dx.doi.org/10.1038/ncomms12215},
volume = {7},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Active fluids and growing interfaces are two well-studied but very different non-equilibrium systems. Each exhibits non-equilibrium behaviour distinct from that of their equilibrium counterparts. Here we demonstrate a surprising connection between these two: the ordered phase of incompressible polar active fluids in two spatial dimensions without momentum conservation, and growing one-dimensional interfaces (that is, the 1+1-dimensional Kardar–Parisi–Zhang equation), in fact belong to the same universality class. This universality class also includes two equilibrium systems: two-dimensional smectic liquid crystals, and a peculiar kind of constrained two-dimensional ferromagnet. We use these connections to show that two-dimensional incompressible flocks are robust against fluctuations, and exhibit universal long-ranged, anisotropic spatio-temporal correlations of those fluctuations. We also thereby determine the exact values of the anisotropy exponent ζ and the roughness exponents χx,y that characterize these correlations.
AU  - Lee,C
AU  - Chen,L
AU  - Toner,J
DO  - 10.1038/ncomms12215
PY  - 2016///
SN  - 2041-1723
TI  - Mapping two-dimensional polar active fluids to two-dimensional soap and one-dimensional sandblasting
T2  - Nature Communications
UR  - http://dx.doi.org/10.1038/ncomms12215
UR  - http://hdl.handle.net/10044/1/33650
VL  - 7
ER  -
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