Current and Temperature Dependence of Resistance Fluctuations in the Striped Phase of La$_{2-x}$Ba$_x$CuO$_4$

The high-temperature superconductor La$_{2-x}$Ba$_x$CuO$_4$ is known for its unusual suppression of T$_c$ at x=1/8, accompanied by the emergence of a charge stripe phase. A dynamic stripe phase with local resistance anisotropy is expected to cause measurable resistance fluctuations in samples with small dimensions. We report measurements of the transport and noise in microscopic wires patterned from thin films of La$_{2-x}$Ba$_x$CuO$_4$ grown by pulsed laser deposition. We observe a sudden change in noise power spectral density at temperatures consistent with the charge ordering temperatures observed in scattering experiments. We present the evolution of resistance noise with temperature and bias current as a characterization of the strongly correlated state near x=1/8 doping.