Probabilistic methods in statistical physics for extreme statistics and rare events

Exact extremal statistics in the classical 1d Coulomb gas

speaker: Anupam Kundu (ICTS, Bangalore)

abstract: In the last decade, a new universal law called the Tracy-Widom distribution has emerged, which describes the typical fluctuations of the extremum in several strongly interacting systems. But how sensitive is this universality against the pair interactions ? In this talk, I will address this question in the context of extreme statistics in a many-body system interacting via the one dimensional linear Coulomb repulsive potential. We found that the extreme statistics in this system is different from that described by the Tracy-Widom distribution however, the large deviation functions still predict a third order transition. At the end, I will briefly discuss about the index and the gap distributions in this system.

timetable:
Fri 21 Sep, 12:15 - 13:00, Aula Dini
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