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Article overview
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Existence of Quasi-stationary states at the Long Range threshold | | Alessio Turchi
; Duccio Fanelli
; Xavier Leoncini
; | | Date: |
13 Jul 2010 | | Abstract: | In this paper the lifetime of quasi-stationary states (QSS) in the
$alpha-$HMF model are investigated at the long range threshold ($alpha=1$).
It is found that QSS exist and have a diverging lifetime $ au(N)$ with system
size which scales as $mbox{ensuremath{ au}(N)ensuremath{sim}}log N$,
which contrast to the exhibited power law for $alpha<1$ and the observed
finite lifetime for $alpha>1$. Another feature of the long range nature of the
system beyond the threshold ($alpha>1$) namely a phase transition is displayed
for $alpha=1.5$. The definition of a long range system is as well discussed. | | Source: | arXiv, 1007.2065 | | Services: | Forum | Review | PDF | Favorites | |
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