λ点附近液态⁴He热电阻率的有限尺寸标度和普适性
Finite-size scaling and universality of the thermal resistivity of liquid 4He near Tlambda.
作者信息
Murphy Daniel, Genio Edgar, Ahlers Guenter, Liu Fengchuan, Liu Yuanming
机构信息
Department of Physics and iQUEST, University of California, Santa Barbara, California 93106, USA.
出版信息
Phys Rev Lett. 2003 Jan 17;90(2):025301. doi: 10.1103/PhysRevLett.90.025301. Epub 2003 Jan 13.
We present measurements of the thermal resistivity rho(t,P,L) near the superfluid transition of 4He at saturated vapor pressure and confined in cylindrical geometries with radii L=0.5 and 1.0 microm [t identical with T/T(lambda)(P)-1]. For L=1.0 microm measurements at six pressures P are presented. At and above T(lambda) the data are consistent with a universal scaling function F(X)=(L/xi(0))(x/nu)(rho/rho(0)), X=(L/xi(0))(1/nu)t valid for all P (rho(0) and x are the pressure-dependent amplitude and effective exponent of the bulk resistivity rho, and xi=xi(0)t(-nu) is the correlation length). Indications of breakdown of scaling and universality are observed below T(lambda).
我们给出了在饱和蒸气压下，处于半径为(L = 0.5)和(1.0)微米的圆柱几何结构中，(^4)He超流转变附近热电阻率(\rho(t, P, L))的测量结果([t = T/T_{\lambda}(P) - 1])。对于(L = 1.0)微米，给出了六个压力(P)下的测量结果。在(T_{\lambda})及以上，数据与通用标度函数(F(X) = (L/\xi(0))^{(x/\nu)}(\rho/\rho(0)))一致，其中(X = (L/\xi(0))^{(1/\nu)}t)，对所有压力(P)均有效（(\rho(0))和(x)是体电阻率(\rho)的压力相关幅度和有效指数，且(\xi = \xi(0)t^{-\nu})是关联长度）。在(T_{\lambda})以下观察到了标度和普遍性失效的迹象。
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