%0 Book Section %1 statphys23_0966 %A Maragakis, M. %A Argyrakis, P. %A Havlin, S. %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 diffusion networks priority statphys23 topic-11 %T Priority of motion in systems of two kinds of non-interacting particles %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=966 %X Priority is an important concept that is present in many real-life systems, such as information propagation, driving, network routers etc. When we have two kinds of entities (i.e. particles, information, etc) on the same site, we may want to assign a higher priority to move to the first entity over the second. In our model we use various systems, such as lattices, random graphs and scale-free networks, populated with particles of two kinds, A and B. We assign different movement priorities, $p$, for each type of particles or in the sites/nodes they exist. A particles are assigned a higher $p$ value than B when both coexist on the same site/node ($p_A$=1, $p_B$=0). All particles move randomly to the nearest neighboring sites/nodes, once chosen to move. Several particles may coexist in the same space, without further interactions, whether of the same kind or not. We study the mean square displacement (MSD) of both kinds of particles and find a relationship between the slope of the MSD vs time, the priorities ($p_A$ and $p_B$) and the densities ($d_A$ and $d_B$). We measure the probability to find at any time a site/node empty of A particles. This probability decreases fast as the density is increased, which explains the low values of mobility of B in cases with high A densities. In networks, a blocking of B movement in parts of the system is evident, even for lower A densities.

@incollection{statphys23_0966, abstract = {Priority is an important concept that is present in many real-life systems, such as information propagation, driving, network routers etc. When we have two kinds of entities (i.e. particles, information, etc) on the same site, we may want to assign a higher priority to move to the first entity over the second. In our model we use various systems, such as lattices, random graphs and scale-free networks, populated with particles of two kinds, A and B. We assign different movement priorities, $p$, for each type of particles or in the sites/nodes they exist. A particles are assigned a higher $p$ value than B when both coexist on the same site/node ($p_A$=1, $p_B$=0). All particles move randomly to the nearest neighboring sites/nodes, once chosen to move. Several particles may coexist in the same space, without further interactions, whether of the same kind or not. We study the mean square displacement (MSD) of both kinds of particles and find a relationship between the slope of the MSD vs time, the priorities ($p_A$ and $p_B$) and the densities ($d_A$ and $d_B$). We measure the probability to find at any time a site/node empty of A particles. This probability decreases fast as the density is increased, which explains the low values of mobility of B in cases with high A densities. In networks, a blocking of B movement in parts of the system is evident, even for lower A densities.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Maragakis, M. and Argyrakis, P. and Havlin, S.}, biburl = {https://www.bibsonomy.org/bibtex/2fe982153a4647d09408f176e068aa84e/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {0a07f985d1680e5eec0c174e95f431cd}, intrahash = {fe982153a4647d09408f176e068aa84e}, keywords = {diffusion networks priority statphys23 topic-11}, month = {9-13 July}, timestamp = {2007-06-20T10:16:35.000+0200}, title = {Priority of motion in systems of two kinds of non-interacting particles}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=966}, year = 2007 }