Time series of ac conductivities of terbium nitrate crystals at low temperatures Original Research Article

Time series of ac conductivities are measured at 2 kHz along three crystal directions in terbium nitrate crystal below 50 K. The anisotropy is found in the structure of the fluctuation observed in the time series of the conductivities. The bursts with non-periodic oscillations are found in only the measurements of the time series of the ac conductivities for one direction perpendicular to the c-axis (c2-axis). The anisotropy is seen in probability distribution functions and power spectral ones derived from the time series of the conductivities. The characteristic behaviors are found in the time series of the conductivity for the one crystal direction perpendicular to the c-axis. Asymmetric non-Gaussian line shape of the probability distribution function is seen for the c2-axis. Chaotic behavior is also found in the function of the correlation exponent to the embedding dimension derived from the time series of the conductivities.