用非线性振弦作为超流$^3$ He-B的温度计
Using vibrating wire in non-linear regime as a thermometer in superfluid $^3$He-B
摘要：
振丝是$^3$ He实验中常用的温度探头。通过测量导线在磁场中的机械共振，可以直接得到温度相关的粘滞阻尼。这在线速度足够小并且阻尼力与速度成比例的线性区域中很容易做到。在超流$^3$ He-B中，在最低温度时，出现了很强的非线性阻尼，线性区收缩到很小的速度范围。将测量扩展到非线性区域可以显著提高灵敏度。在本说明中，我将介绍一些有助于分析此类温度测量的技术细节。
英文摘要：
Vibrating wires are common temperature probes in $^3$He experiments. By measuring mechanical resonance of a wire driven by AC current in magnetic field one can directly obtain temperature-dependent viscous damping. This is easy to do in a linear regime where wire velocity is small enough and damping force is proportional to velocity. At lowest temperatures in superfluid $^3$He-B a strong non-linear damping appears and linear regime shrinks to a very small velocity range. Expanding measurements to the non-linear area can significantly improve sensitivity. In this note I describe some technical details useful for analyzing such temperature measurements.
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