BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Cristian Giardinà (Università degli Studi di Modena e Reggio Emi
 lia)
DTSTART:20210317T170000Z
DTEND:20210317T180000Z
DTSTAMP:20260423T021529Z
UID:PSA/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PSA/6/">Exac
 t solution of an integrable particle system</a>\nby Cristian Giardinà (Un
 iversità degli Studi di Modena e Reggio Emilia) as part of Probability an
 d Stochastic Analysis at Tecnico Lisboa\n\n\nAbstract\nWe consider the fam
 ily of boundary-driven models introduced in [FGK] and show they can be sol
 ved exactly\, i.e. the correlations functions and the non-equilibrium stea
 dy-state have a closed-form expression. \n\nThe solution relies on probabi
 listic arguments and techniques inspired by integrable systems. As in the 
 context of bulk-driven systems (scaling to KPZ)\, it is obtained in two st
 eps:  i) the introduction of a dual process\; ii) the solution of the dual
  dynamics by Bethe ansatz.  \n\nFor boundary-driven systems\, a general by
 -product of duality is the existence of a direct mapping (a conjugation) b
 etween the generator of the non-equilibrium process and the generator of t
 he associated reversible equilibrium process. Macroscopically\, this mappi
 ng was observed years ago by Tailleur\, Kurchan and Lecomte in the context
  of the Macroscopic Fluctuation Theory.\n\n[FGK] R. Frassek\, C. Giardinà
 \, J. Kurchan\, Non-compact quantum spin chains as integrable stochastic p
 article processes\, Journal of Statistical Physics 180\, 366-397 (2020).\n
 \nZoom password: 958 0581 3232\n
LOCATION:https://researchseminars.org/talk/PSA/6/
END:VEVENT
END:VCALENDAR