Superfluid 3He in very confined regular geometries.
Superfluid 3He in very confined regular geometries.
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超流体 3He 具有非常有限的规则几何形状。
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
Tin
中科院分区：
文献类型：
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作者：
Ying;Tin
本文用Ginzburg-Landau方法研究了窄平板和圆柱形几何中的超流He。结果发现，在非常窄的板坯的情况下，边界的效果是有利于A相的形成。在较低温度下，该A相相对于变形的B相是不稳定的。这两种状态都是局部稳定的，可以是过冷或过热的。窄板中的$^{3}mathrm{He}$的相图类似于磁场中的$^{3}mathrm{He}$的相图。计算了扩散边界条件和镜面边界条件下沿着流道的超流密度。对于圆柱形几何形状也得到了类似的结果。此外，我们提出了一个分析计划，以确定在其他几何的序参数在“非常强限制”的限制。
Superfluid $^{3}mathrm{He}$ in very narrow slab and cylindrical geometries is studied using the Ginzburg-Landau approach. It is found that, in the case of very narrow slabs, the effect of the boundary is to favor the formation of the A phase. At lower temperatures, this A phase is unstable against a deformed B phase. Both states are locally stable and can be supercooled or superheated. The phase diagram for $^{3}mathrm{He}$ in a narrow slab resembles that of $^{3}mathrm{He}$ in a magnetic field. The superfluid densities along the channel for both diffusive and specular boundary conditions are computed. Similar results are obtained for a cylindrical geometry. In addition, we present an analytic scheme for determining the order parameter in other geometries in the ``very strongly confined' limit.