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SUMMARY:Variational Approach to KPZ: Fluctuation Theorems\, Large Deviatio
n Function\, and Probability Distribution Function
DTSTART;VALUE=DATE-TIME:20201203T123000Z
DTEND;VALUE=DATE-TIME:20201203T125000Z
DTSTAMP;VALUE=DATE-TIME:20230207T091700Z
UID:indico-contribution-393@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jorge A. Revelli (IFEG)\, Miguel A. Rodriguez (Inst.
Fisica Cantabria)\, Rafael Gallego (Mathematics Department)\, Horacio S.
Wio (Inst.Fisica Interdisc.&Sist.Compl.)\, Roberto R. Deza (IFIMAR)\n\nThe
KPZ equation is - as known - a stochastic field theory that describes the
kinetic roughening of surfaces and interfaces\, plus many other nonequili
brium processes that belong to its universality class. For $\\lambda\\neq
0$\, the systems described are intrinsically unstable and "lack of station
ary probability distribution". This can be readily inferred from the struc
ture of the functional from which the deterministic KPZ equation stems in
a variational formulation [1]. In fact\, the time behavior of the aforemen
tioned functional resembles that of a particle in a gravitational field [2
]. A path-integral scheme has been set up in [3] that allows obtaining det
ailed and integral fluctuation theorems - as well as a Large Deviation Fun
ction for entropy production - for the KPZ equation\, "regardless of the s
ubstrate dimensionality" [4]. After reviewing these issues\, we close by d
iscussing an explicit expression of the probability distribution for the K
PZ system.\n\n[1] H.S. Wio\, "Variational formulation for the KPZ and rela
ted kinetic equations"\, Int. J. Bif. Chaos 19\, (2009) 2813-2821.\n[2] H
.S. Wio\, M.A.Rodriguez\, R.Gallego\, J.A.Revelli\, A. Ales and R.R.Deza\,
"d-Dimensional KPZ Equation as a Stochastic Gradient Flow in an Evolving
Landscape: Interpretation and Time Evolution of Its Generating Functional"
\, Front.Phys.4 (2017): 52.\n[3] H.S. Wio\, R.R. Deza and J.A. Revelli\, "
Fluctuation theorems and large deviation functions in systems not featurin
g a steady state"\, J. Stat. Mech. (2020) 024009.\n[4] H.S. Wio\, M.A. Rod
riguez and R. Gallego\, "Variational approach to KPZ: Fluctuation theorems
and large deviation function for entropy production"\, Chaos 30\, (2020)
073107.\n\nhttps://zakopane.if.uj.edu.pl/event/16/contributions/393/
RELATED-TO:indico-event-16@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/16/contributions/393/
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