In La 1.48 Nd 0.4 Sr 0.12 CuO 4 the 139 La and 63 Cu nuclear quadrupole resonance relaxation rates and signal wipeout upon lowering temperature are shown to be due to purely magnetic fluctuations. They follow the same renormalized classical behavior as seen in neutron data, when the electronic spins order in stripes, with a small spread in spin stiffness ͑15% spread in activation energy͒. The La signal, which reappears at low temperatures, is magnetically broadened and experiences additional wipe out due to slowing down of the Nd fluctuations. DOI: 10.1103/PhysRevB.63.020507 PACS number͑s͒: 74.72.Dn, 76.60.Ϫk, 75.30.Ds, 75.40.Gb Strongly correlated electron systems such as layered cuprates exhibit very unusual properties. One of the most interesting among them is the coexistence of superconductivity with local antiferromagnetism ͑AF͒-a fingerprint of the topological effects of doping of AF insulators by holes. The charges segregate into a periodical array of stripes separating antiphase antiferromagnetic domains. Experimental evidence for stripe correlations has been provided by neutron studies in Nd-doped La 1.875 Sr 0.125 CuO 4 and in other cuprates and nickelates. 1,2 The spatial organization of the stripe structures is a subject of much debate. 3-8 Stripe formation is characterized by the temperatures of charge (T charge ) and spin T spin ordering with T charge ϾT spin . Since these different types of order coexist on the microscopic level, local methods of analysis, like NMR or nuclear quadrupole resonance ͑NQR͒, are well suited to see their interrelation. One striking feature in the NMR data is the wipe-out effect. In Cu-NQR experiments on a number of Sr doped La 2 CuO 4 samples, Hunt et al. 6 showed a correlation between the amount of the intensity loss and the development of charge order of the stripe phase. Curro et al. 7 found strong Cu wipe-out effect in their NMR experiments on La 2ϪyϪx Eu y Sr x CuO 4 and showed that this effect could be accounted for by a wide ͑100%͒ distribution in the energy of the thermally activated correlation times that determine the relaxation processes-so-called glassy behavior.In this communication the role of slow magnetic fluctuations is elucidated. We show that the variation of the line shape as well as wipe-out and relaxation effects probe the growing spin order in the stripe phase. Our investigation takes profit of the NQR frequency range of 139 La and 63 Cu, and especially of the low frequencies and relatively small line widths of La NQR in La 1.48 Nd 0.4 Sr 0.12 CuO 4 . In this compound both Cu and La exhibit strong wipe-out effects. Because La ͑contrary to Cu͒ nuclei are relatively weakly coupled to the electronic spins in the CuO 2 planes, La NQR signals can be followed down to the spin-ordering temperature, as seen by SR. Using the spin correlation times extracted from the activated La spin-lattice relaxation rates we are able to predict precisely these wipe-out features by introducing a spread of only 15% in the activation energy. Within experimental error t...