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SUMMARY:The Discrete Non Linear Schroedinger Equation: an example of inequ
ivalence between statistical ensembles.
DTSTART;VALUE=DATE-TIME:20190410T130000Z
DTEND;VALUE=DATE-TIME:20190410T135000Z
DTSTAMP;VALUE=DATE-TIME:20200811T045322Z
UID:indico-contribution-3674@indico.math.cnrs.fr
DESCRIPTION:Speakers: Roberto Livi ()\nThe dynamics of the DNLSE is chara
cterized by peculiar featuresin the region of parameter space above the li
ne at infinite temperature:the deterministic version exhibits multi-breath
er states\,\nlasting over astronomical times\, while the stochastic (conse
rvative)\nevolution yields a coarsening dynamics to an infinite temperatur
e\nlattice\, with a superimposed giant breather collecting a finite fracti
onof the total energy. The statistical mechanics of this model can be natu
rally described and explicitly computed in the microcanonical ensemble and
allows us to conclude that the multi breather state\, observed in the det
erministic evolution\, is a genuine equilibrium state at negative temperat
ure. We also show that in this region there is no ensemble equivalence wit
h the grand-canonical ensemble and\, moreover\, that the infinite temperat
ure line is also the boundary of a first order phase transition between a
thermalized (low-energy) phase and a condensed (high-energy) phase. Furthe
r details about the presence of a spinodal line\, the features of the orde
r parameter and the non-extensivity of the condensed phase will be also di
scussed.\n\nhttps://indico.math.cnrs.fr/event/4251/contributions/3674/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3674/
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