6 GLYPH<s45> GLYPH<s51>GLYPH<s46>GLYPH<s53> GLYPH<s45> GLYPH<s51>GLYPH<s46>GLYPH<s48> GLYPH<s45> GLYPH<s50>GLYPH<s46>GLYPH<s53> GLYPH<s45> GLYPH<s50>GLYPH<s46>GLYPH<s48> GLYPH<s45> GLYPH<s49>GLYPH<s46>GLYPH<s53> GLYPH<s45> GLYPH<s49>GLYPH<s46>GLYPH<s48> GLYPH<s45> GLYPH<s48>GLYPH<s46>GLYPH<s53> GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s45> GLYPH<s51> GLYPH<s45> GLYPH<s50> GLYPH<s45> GLYPH<s49> GLYPH<s48> GLYPH<s49> GLYPH<s50> GLYPH<s51> GLYPH<s45>GLYPH<s48>GLYPH<s46>GLYPH<s52> GLYPH<s45>GLYPH<s48>GLYPH<s46>GLYPH<s50> GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s48> GLYPH<s49> GLYPH<s50> GLYPH<s51> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s48>GLYPH<s49> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s48>GLYPH<s50> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s48>GLYPH<s51> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s48>GLYPH<s53> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s49> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s49>GLYPH<s53> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s50> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s50>GLYPH<s53> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s51> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46>GLYPH<s53> GLYPH<s108> GLYPH<s110> GLYPH<s40> GLYPH<s68> GLYPH<s49> GLYPH<s47> GLYPH<s51> GLYPH<s47> GLYPH<s84> GLYPH<s49> GLYPH<s47> GLYPH<s50> GLYPH<s41> GLYPH<s83> GLYPH<s101>GLYPH<s120> GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s50> GLYPH<s48>GLYPH<s46>GLYPH<s52> GLYPH<s48>GLYPH<s46>GLYPH<s54> GLYPH<s48>GLYPH<s46>GLYPH<s56> GLYPH<s49>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s48>GLYPH<s53> GLYPH<s48>GLYPH<s46>GLYPH<s49>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s49>GLYPH<s53> GLYPH<s48>GLYPH<s46>GLYPH<s50>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s50>GLYPH<s53> GLYPH<s48>GLYPH<s46>GLYPH<s51>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s51>GLYPH<s53> GLYPH<s48>GLYPH<s46>GLYPH<s52>GLYPH<s48> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46> GLYPH<s48>GLYPH<s52> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46> GLYPH<s48>GLYPH<s55> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46> GLYPH<s49> GLYPH<s68> GLYPH<s40>GLYPH<s97>GLYPH<s41> GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s50> GLYPH<s48>GLYPH<s46>GLYPH<s52> GLYPH<s48>GLYPH<s46>GLYPH<s54> GLYPH<s48>GLYPH<s46>GLYPH<s56> GLYPH<s49>GLYPH<s46>GLYPH<s48> GLYPH<s48> GLYPH<s50>GLYPH<s48> GLYPH<s52>GLYPH<s48> GLYPH<s54>GLYPH<s48> GLYPH<s56>GLYPH<s48> GLYPH<s49>GLYPH<s48>GLYPH<s48> GLYPH<s40>GLYPH<s98>GLYPH<s41> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s48>GLYPH<s46> GLYPH<s53> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s49>GLYPH<s46> GLYPH<s48> GLYPH<s32> GLYPH<s84>GLYPH<s61>GLYPH<s50>GLYPH<s46> GLYPH<s48> GLYPH<s68> FIG. 5: Rosenfeld excess entropy scaling of diffusion coeffi- cient for a set of ten isotherms for Herzian spheres system. The inset shows several high temperature isotherms in the enlarged scale. FIG. 6: Diffusion coefficient of GCM for a set of isotherms. (a) - T = 0 . 04; 0 . 07 and 0 . 1; (b) - T = 0 . 5; 1 . 0 and 2 . 0. the case of Herzian spheres there is no region ’3’ in the low temperature curves of the GCM. We suppose that this region corresponds to the higher densities which we do not consider in the present study. At low tempera- tures most of the points belong to the region ’2’. How- ever this region depresses with the temperature increase. Although even at the temperature as high as T = 2 . 0 which is around 200 times higher then melting tempera- ture of GCM the curve still demonstrates a bend from a straight line at high densities. Finally Fig. 10 shows the whole set of isotherms in- vestigated in the present study. As one can see from this figure the system comes more close to the Rosenfeld re- lation with increasing the temperature. One can expect that at infinitely high temperatures the excess entropy relation is valid for the GCM, however in the tempera- tures range studied here, i.e. to approximately 200 · T$_{mels}$ a deviation from the linear behavior is still observed. that the thermodynamic quantities, in particular entropy which is of the interest of the present study, also have a complex behavior in this region of densities. Taking into account the complex behavior of both entropy and diffusion coefficient it is interesting to check the Rosenfeld relation for this system. The last model considered in the present work is the soft repulsive shoulder potential (8). In the works [41, 45] it has already been shown that this system demonstrates anomalous behavior of diffusion at low temperatures and densities corresponding to the region where a competition between the characteristic length scales σ and σ 1 takes place. This competition gives the great complexity of the phase diagram of the system [41, 45], so one can expect Fig. 11 represents the diffusion coefficient for the soft repulsive shoulder system with σ 1 = 1 . 35 for a set of temperatures and densities. One can see that at T = 0 . 25 an inflection point in the diffusion coefficient curve occurs which then develops into a loop ( T = 0 . 2). Both pair and full excess entropies were considered for this potential. Fig. 12 (a) and (b) show the behavior Soft Repulsive Shoulder Model