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Quasiperiodic boundary conditions for three-dimensional superfluids

机译：三维超流体的QuaSipheriodic边界条件

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摘要

We derive boundary conditions that allow a three-dimensional periodic array of superfluid vortices to be modeled in a Cartesian domain. The method is applicable to vortices in the Gross-Pitaevskii description of a superfluid and to fluxtubes in the Ginzburg-Landau description of a superconductor. Unlike standard methods for modeling infinite arrays of vortices, the boundary conditions can be used to study the three-dimensional tangling and reconnection of vortex lines expected in superfluid turbulence. In the two-dimensional case, the boundary conditions include two parameters that determine the lattice offset, which for a single superfluid is essentially arbitrary. In the three-dimensional case the boundary conditions include three parameters that must satisfy a particular linear relationship. We present an algorithm for finding all vortex lattice states within a given domain. We demonstrate the utility of the boundary conditions in two specific problems with imperfect or tangled lattices.
机译：我们推出了边界条件，允许在笛卡尔域中建模的超流涡流的三维周期性阵列。该方法适用于Superfluid的Gross-pitaevskii描述中的涡流，并在Ginzburg-Landau的荧光品上的超导体的描述。与用于建模无限涡流阵列的标准方法不同，边界条件可用于研究超流湍流预期的三维朝向和涡旋线的重新连接。在二维情况下，边界条件包括两个参数，该参数确定单个Superfluid的晶格偏移基本上是任意的。在三维情况下，边界条件包括三个必须满足特定线性关系的参数。我们介绍了一种用于在给定域内查找所有涡流晶格状态的算法。我们展示了边界条件在两个特定问题中的边界条件的效用，不完美或纠结的格子。

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  • 来源
    《Physical review》 |2019年第2期|024505.1-024505.8|共8页
  • 作者

    Wood Toby S.; Mesgarnezhad Mae; Stagg George W.; Barenghi Carlo F.;

  • 作者单位

    Newcastle Univ Sch Math Stat & Phys Newcastle Upon Tyne NE1 7RU Tyne & Wear England;

    Newcastle Univ Sch Math Stat & Phys Newcastle Upon Tyne NE1 7RU Tyne & Wear England;

    Newcastle Univ Sch Math Stat & Phys Newcastle Upon Tyne NE1 7RU Tyne & Wear England;

    Newcastle Univ Sch Math Stat & Phys Newcastle Upon Tyne NE1 7RU Tyne & Wear England;

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