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Critical behavior of coupled ~4He regions near the superfluid transition

机译：超流体过渡附近的耦合〜4He区的临界行为

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Proximity and coupling effects between contiguous regions of ~4He are expected to occur over a distance on the order of the temperature-dependent correlation length ξ(t). We present recent measurements of ~4He confined in arrays of (2 μm)~3 boxes linked through a ~4He film. The specific heat and superfluid fraction of the ~4He in these geometries reveal effects which occur at distances much larger than expected. These effects include enhancements in specific heat and superfluid fraction as well as shifts in the temperatures of the superfluid onset and specific-heat maximum. Our analysis gives evidence for the relevance of the finite-size correlation length ξ(t,L) in explaining these effects even though the effects occur at distances over an order of magnitude larger than ξ(t,L). These results can be used to deduce the finite-size scaling locus for ξ(t,L). The spatial distance over which coupling and proximity effects are observed raises questions regarding the physical mechanism for these effects and the interpretation of ξ (t). Lastly, these results are discussed in connection to other measurements of ~4He in confined geometries, and the relevance to other critical systems.
机译：预计〜4He的连续区域之间的邻近和耦合效应会在一段距离上发生，并取决于温度相关长度ξ（t）。我们介绍了〜4He的最新测量值，该测量值限制在通过〜4He膜链接的（2μm）〜3个盒子的阵列中。在这些几何形状中，〜4He的比热和超流体分数揭示了在远大于预期的距离处发生的效应。这些影响包括比热和超流体分数的增加，以及超流体起始温度和比热最大值的温度变化。我们的分析为有限大小相关长度ξ（t，L）的相关性提供了证据，即使这些影响发生在距离大于ξ（t，L）的数量级时也是如此。这些结果可用于推断ξ（t，L）的有限尺寸缩放轨迹。观察到耦合效应和邻近效应的空间距离提出了有关这些效应的物理机制和ξ（t）解释的问题。最后，这些结果与在受限几何条件下〜4He的其他测量结果以及与其他关键系统的相关性进行了讨论。

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