Reanalysis of the hydrodynamic theory of fluid, polar-ordered flocks.
Reanalysis of the hydrodynamic theory of fluid, polar-ordered flocks.
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DOI：
10.1103/physreve.86.031918
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发表时间：
2012-04
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影响因子：
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通讯作者：
J. Toner
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文献类型：
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作者：
J. Toner
我重新分析流体的流体力学理论，极有序的群体。我发现新的线性项的流体动力学方程略有修改的各向异性，但不是缩放，声音模式的阻尼。我还发现，在平衡允许的非线性不稳定的空间维度d=2的长程有序，在雅阁Mermin-Wagner定理。非平衡非线性确实稳定了d=2的长程有序，正如早期工作所论证的那样。其中一些被早期的工作遗漏了;目前还不清楚它们是否会改变d=2时的标度指数。
I reanalyze the hydrodynamic theory of fluid, polar-ordered flocks. I find new linear terms in the hydrodynamic equations which slightly modify the anisotropy, but not the scaling, of the damping of sound modes. I also find that the nonlinearities allowed in equilibrium do not stabilize long-ranged order in spatial dimensions d=2, in accord with the Mermin-Wagner theorem. Nonequilibrium nonlinearities do stabilize long-ranged order in d=2, as argued by earlier work. Some of these were missed by earlier work; it is unclear whether or not they change the scaling exponents in d=2.