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SUMMARY:Cristian Giardinà (Università degli Studi di Modena e Reggio Emi
 lia)
DTSTART:20210317T170000Z
DTEND:20210317T180000Z
DTSTAMP:20260404T132230Z
UID:PSA/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/PSA/6
 /">Exact solution of an integrable particle system</a>\nby Cristian Giardi
 nà (Università degli Studi di Modena e Reggio Emilia) as part of Probabi
 lity and Stochastic Analysis at Tecnico Lisboa\n\n\nAbstract\nWe consider 
 the family of boundary-driven models introduced in [FGK] and show they can
  be solved exactly\, i.e. the correlations functions and the non-equilibri
 um steady-state have a closed-form expression. \n\nThe solution relies on 
 probabilistic arguments and techniques inspired by integrable systems. As 
 in the context of bulk-driven systems (scaling to KPZ)\, it is obtained in
  two steps:  i) the introduction of a dual process\; ii) the solution of t
 he dual dynamics by Bethe ansatz.  \n\nFor boundary-driven systems\, a gen
 eral by-product of duality is the existence of a direct mapping (a conjuga
 tion) between the generator of the non-equilibrium process and the generat
 or of the associated reversible equilibrium process. Macroscopically\, thi
 s mapping was observed years ago by Tailleur\, Kurchan and Lecomte in the 
 context of the Macroscopic Fluctuation Theory.\n\n[FGK] R. Frassek\, C. Gi
 ardinà\, J. Kurchan\, Non-compact quantum spin chains as integrable stoch
 astic particle processes\, Journal of Statistical Physics 180\, 366-397 (2
 020).\n\nZoom password: 958 0581 3232\n
LOCATION:https://stable.researchseminars.org/talk/PSA/6/
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