Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
users:shapira:index [2019/07/02 14:44]
shapira [Publications]
users:shapira:index [2019/07/02 14:46] (current)
shapira [Publications]
Line 25: Line 25:
 But physical systems are not always homogeneous (e.g. a granular material with two grain types). In these cases, it could be more appropriate to take a dynamics in random environment. The random environment that we've taken is the polluted lattice, ​ that's already been analyzed in a closely related model called the bootstrap percolation. But physical systems are not always homogeneous (e.g. a granular material with two grain types). In these cases, it could be more appropriate to take a dynamics in random environment. The random environment that we've taken is the polluted lattice, ​ that's already been analyzed in a closely related model called the bootstrap percolation.
  
-Many of the tools used in order to understand kinetically constrained models in homogeneous environments stop working when the system is not homogeneous (e.g. the spectral gap). The reason is that in random systems remote regions that are not really typical influence the quantities that we study, even though they shouldn'​t effect the actual dynamics. We needed to find a way to analyze time scales of the model in a way which ignores these untypical regions. We managed to do that by looking at the first time in which the origin (or any arbitrary vertex) ​becomes empty.+Many of the tools used in order to understand kinetically constrained models in homogeneous environments stop working when the system is not homogeneous (e.g. the spectral gap). The reason is that in random systems remote regions that are not really typical influence the quantities that we study, even though they shouldn'​t effect the actual dynamics. We needed to find a way to analyze time scales of the model in a way which ignores these untypical regions. We managed to do that by looking at hitting ​time of events that depend only on the state near the origin (or any arbitrary vertex). ​
  
 ==Diffusive Scaling of the Kob-Andersen Model on the Integer Lattice== ==Diffusive Scaling of the Kob-Andersen Model on the Integer Lattice==
 
users/shapira/index.txt · Last modified: 2019/07/02 14:46 by shapira
Recent changes RSS feed Powered by PHP Valid XHTML 1.0 Valid CSS Driven by DokuWiki