Talk:Interacting Particle Systems: Difference between revisions
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I thought so too, until I started reading Liggett's book "Interacting particle systems", I haven't found a formal definition yet (maybe its the same as in definition as for free boundary problems....) but all of them seem to be Markov processes where the state space is a field (the most famous example is the stochastic Ising model). I will dwell on those things in this article ([[User:Nestor|Nestor]] 21:39, 2 February 2012 (CST)) | I thought so too, until I started reading Liggett's book "Interacting particle systems", I haven't found a formal definition yet (maybe its the same as in definition as for free boundary problems....) but all of them seem to be Markov processes where the state space is a field (the most famous example is the stochastic Ising model). I will dwell on those things in this article ([[User:Nestor|Nestor]] 21:39, 2 February 2012 (CST)) | ||
Indeed, I think ''particle systems'' is a little bit too wide: it may include stochastic particle systems or also the particle systems from kinetic theory. It seems that in the literature the name ''interacting particle system'' is only used for stochastic systems à la Liggett (see also ''Scaling Limits of Interacting Particle Systems'' by Kipnis-Landim)--[[User:Milton|Milton]] 11:58, 9 February 2012 (CST). | |||
Revision as of 11:58, 9 February 2012
I thought that particle systems was a generic name for a variety of models. I will check because if that is true this article should have a more specific name. (Luis 10:56, 2 February 2012 (CST))
I thought so too, until I started reading Liggett's book "Interacting particle systems", I haven't found a formal definition yet (maybe its the same as in definition as for free boundary problems....) but all of them seem to be Markov processes where the state space is a field (the most famous example is the stochastic Ising model). I will dwell on those things in this article (Nestor 21:39, 2 February 2012 (CST))
Indeed, I think particle systems is a little bit too wide: it may include stochastic particle systems or also the particle systems from kinetic theory. It seems that in the literature the name interacting particle system is only used for stochastic systems à la Liggett (see also Scaling Limits of Interacting Particle Systems by Kipnis-Landim)--Milton 11:58, 9 February 2012 (CST).