论文标题
二氧化硅气凝胶的$^3 $ he-b的热容量
The Heat Capacity of $^3$He-B in Silica Aerogel
论文作者
论文摘要
超级流体$^3 $ he-b的热力学潜力嵌入了均匀分布的随机电位中,可以从luttinger-ward-ward函数的准经典降低到$ k _ {\ mbox {$ \ tiny b $ b $ b $}} t_c/e_f $中的领先顺序。由此产生的功能提供了Ginzburg-Landau Free Energy功能的扩展到所有温度$ 0 <t \ le t_c $。基于此功能的理论预测超氟$^3 $^$ he-b嵌入了均匀的各向同性硅胶中,与超级流体$^3 $^3 $ he-b的实验报告非常吻合,将98.2%的多孔硅胶在压力范围$ p = 11-29-29-29 \,\ mbox $} $} $} $} $ {该分析支持了一个结论,即超级流体$^3 $ he-b注入了高孔隙率二氧化硅气凝胶,这在所有压力下都是无间隙的超氟。
The thermodynamic potential for superfluid $^3$He-B embedded in a homogeneously distributed random potential is calculated from a quasiclassical reduction of the Luttinger-Ward functional to leading order in $k_{\mbox{$\tiny B$}} T_c/E_f$. The resulting functional provides an extension of the Ginzburg-Landau free energy functional to all temperatures $0<T\le T_c$. Theoretical predictions based on this functional for the heat capacity of superfluid $^3$He-B embedded in homogeneous, isotropic silica aerogel are in good agreement with experimental reports for superfluid $^3$He-B infused into 98.2% porous silica aerogel over the pressure range $p=11 - 29\,\mbox{bar}$. The analysis supports a conclusion that superfluid $^3$He-B infused into high-porosity silica aerogels is a gapless superfluid at all pressures.