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We performed detailed ac susceptibility measurements onPr$_{1-x}$Ag$_x$MnO$_3$ ($x$=0.15, 0.20) manganites and observed unusual andinteresting features, which are associated with the domain walls and theeffects of grain-boundaries on their movements. It is shown that the ac field,frequency, temperature, thermal cycling and grain coupling significantlyinfluence the real and especially imaginary parts of the ac susceptibility. Weargue that the cooperative depinning of the domain walls from thegrain-boundaries accompanying with a large distance movements of the wallsleads to the appearance of an anomaly at low temperatures. The anomaly isobserved above a threshold ac field and depends on the intergrain coupling. Theresults show that in the powdered form of bulk samples, the anomaly disappearsand the ac field dependence of the $\chi'$ and $\chi"$ suppresses. Below theanomaly temperature, significant and unusual thermal hysteresis occurs in thereal and especially imaginary parts of the ac susceptibility. Thermalhysteresis depends on the thermal cycling and indicates thermally irreversiblewall pinning and depinning. The susceptibility is practicallyfrequency-independent in the temperature range of thermal hysteresis i.e. belowthe anomaly. The frequency dependence of ac susceptibility between the anomalytemperature and the transition temperature is discussed by considering thetemperature dependence of the relaxation process of the domain walls.

The effect of grain boundaries on the domain wall dynamics in Pr$_{1-x}$Ag$_x$MnO$_3$ manganites