$T_{c}\simeq$6 K. In contrast to other Ni-based AF superconducting borocarbides, DyNi$_{2}$B$_{2}$C presents the following distinct features: (i) no zero-field incommensurate or modulated state was reported.[@Lynn-RNi2B2C-mag-xrd; @Dervenagas-Dy-structure] However for $T<$ 2 K, anomalously large hysteresis and pronounced reentrant effects were observed for the field range 1 kOe$\leq H\leq$5.3 kOe, [@Peng-Dy-hystresis-2K] (ii) the superconductivity emerges within a well developed AF order ($T_{c}<T_{N}$) and that $T_{c}$ is extremely sensitive to nonmagnetic doping.[@Cho-RNi2B2C-deGeness]

$C_{tot}(T)$ (see Fig.3) reveals the onset of the AF order at $T_{N}=9.5\pm0.2$ K. Within the accuracy of our measurement, the superconducting jump at $T_{c}$ $\simeq$6 K is too small to be resolved. On carrying out the analysis of $C_{tot}$ into its components ($C_{e}$, $C_{D},C_{N}$, and $C_{M}$), we observed an anomalous contribution peaking at $1.2$ K and having features reminiscent of a Schottky-like contribution. Accordingly, it was approximated by the standard two-level relation: $$C_{sch}(T)=R(\frac{\delta}{T})^{2}\exp(\frac{\delta}{T})/\left[  1+\exp
(\frac{\delta}{T})\right]  ^{2} \label{Csch}$$ where $\delta$ is the energy separation. It was found out (see the inset of Fig.3) that $\delta$ $=2.9$ K and that only 0.062 molar fraction was involved. Moreover, the fit was satisfactory for the high temperature tail but not so good at the lower temperature part, suggesting that a multi-level Schottky contribution might be 