期刊
PHYSICAL REVIEW LETTERS
卷 121, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.121.108002
关键词
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资金
- National Science Foundation at Syracuse University [DMR-1609208, DGE-1068780]
- KITP [PHY-1748958]
- Syracuse Soft and Living Matter Program
- Simons Foundation
- Tata Education and Development Trust
- J.C. Bose Fellowship of the Science & Engineering Research Board, India
We formulate the statistical dynamics of topological defects in the active nematic phase, formed in two dimensions by a collection of self-driven particles on a substrate. An important consequence of the nonequilibrium drive is the spontaneous motility of strength +1/2 disclinations. Starting from the hydrodynamic equations of active nematics, we derive an interacting particle description of defects that includes active torques. We show that activity, within perturbation theory, lowers the defect-unbinding transition temperature, determining a critical line in the temperature-activity plane that separates the quasilong-range ordered (nematic) and disordered (isotropic) phases. Below a critical activity, defects remain bound as rotational noise decorrelates the directed dynamics +1/2 defects, stabilizing the quasi-long-range ordered nematic state. This activity threshold vanishes at low temperature, leading to a reentrant transition. At large enough activity, active forces always exceed thermal ones and the perturbative result fails, suggesting that in this regime activity will always disorder the system. Crucially, rotational diffusion being a two-dimensional phenomenon, defect unbinding cannot be described by a simplified one-dimensional model.
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