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DTSTAMP:20260404T052431Z
UID:1623771000@ist.ac.at
DTSTART:20210615T173000
DTEND:20210615T181500
DESCRIPTION:Speaker: Sébastien Ott\nhosted by M. Beiglböck\, N. Berestyck
 i\, L. Erdös\, J. Maas\, F. Toninelli\nAbstract: In 1914 and 1916\, Ornst
 ein and Zernike published a celebrated heuristic predicting the sharp asym
 ptotic behaviour of density-density correlations in high temperature/low d
 ensity gases. This theory has since then become a classical topic in the s
 tatistical theory of fluids. The (non-rigorous) derivation of their asympt
 otics relies on a certain "mass gap condition"\, which was believed to hol
 d at least in very high temperature/very low density regimes as soon as th
 e potential is "short range" (exponentially decaying). In a recent joint w
 ork with Y. Aoun\, D. Ioffe\, and Y. Velenik\, we proved that this conditi
 on can fail precisely in these regimes\, when the interaction decays exact
 ly like $psi(r) e^{-r}$. The failure/success of the condition (and of the 
 OZ asymptotics) is then closely related to the pre-factor psi. In this tal
 k\, I will present the mechanism behind this failure\, which can be seen a
 s a condensation transition for a suitable model. To keep things elementar
 y\, I will mostly restrict to the case of the Ising model.
LOCATION:Online via Zoom\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Sébastien Ott: Failure of Ornstein-Zernike asymptotics for models 
 with exponentially decaying interactions
URL:https://talks-calendar.ista.ac.at/events/3204
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