%0 Book Section %1 statphys23_0010 %A Barbosa, M.C. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K colloids computer dynamics glass invited liquid molecular simulation statphys23 structure topic-6 transitions %T Thermodynamic, Dynamic and Structural Anomalous Behavior of Simple Liquids %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=10 %X First, a clear presciption for a two-scale potential is provided. Then, we investigate the thermodynamic and the dynamic properties of particles interacting via this potential in order to show the presence of anomalies like the ones present in water. We show that, for any chosen shape of a two-scale potential, the density, at constant pressure, has a maximum for a certain temperature. The line of temperatures of maximum density (TMD) is determined in the pressure-temperature phase diagram. Similarly the diffusion constant at a constant temperature, $D$, has a maximum at a density $\rho_max$ and a minimum at a density $\rho_min<\rho_max$. In the pressure-temperature phase-diagram the line of temperature of extrema diffusivity (TED) is related to the TMD line as follows. If the potential is continuous, the TMD line lies inside the TED line, if the potential is discontinuous ( lattice or step-like), the TMD line lies outside the TED line.

@incollection{statphys23_0010, abstract = {First, a clear presciption for a two-scale potential is provided. Then, we investigate the thermodynamic and the dynamic properties of particles interacting via this potential in order to show the presence of anomalies like the ones present in water. We show that, for any chosen shape of a two-scale potential, the density, at constant pressure, has a maximum for a certain temperature. The line of temperatures of maximum density (TMD) is determined in the pressure-temperature phase diagram. Similarly the diffusion constant at a constant temperature, $D$, has a maximum at a density $\rho_{max}$ and a minimum at a density $\rho_{min}<\rho_{max}$. In the pressure-temperature phase-diagram the line of temperature of extrema diffusivity (TED) is related to the TMD line as follows. If the potential is continuous, the TMD line lies inside the TED line, if the potential is discontinuous ( lattice or step-like), the TMD line lies outside the TED line.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Barbosa, M.C.}, biburl = {https://www.bibsonomy.org/bibtex/2a1333311b542f71a8fa7accea6faffd7/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {6a4c9b54fbcb1a8203f86e0461fd8839}, intrahash = {a1333311b542f71a8fa7accea6faffd7}, keywords = {colloids computer dynamics glass invited liquid molecular simulation statphys23 structure topic-6 transitions}, month = {9-13 July}, timestamp = {2007-06-20T10:16:09.000+0200}, title = {Thermodynamic, Dynamic and Structural Anomalous Behavior of Simple Liquids}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=10}, year = 2007 }