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SUMMARY:Minimum Action Method for nonequilibrium phase transitions - Ruben
  Zakine\, Ecole polytechnique and CFM Chair of Econophysics &amp\; Complex
  Systems
DTSTART:20230314T130000Z
DTEND:20230314T140000Z
UID:TALK197035@talks.cam.ac.uk
CONTACT:Tal Agranov
DESCRIPTION:First-order nonequilibrium phase transitions observed in activ
 e matter\, fluid dynamics\, biology\, climate science\, and other systems 
 with irreversible dynamics are challenging to analyze because they cannot 
 be inferred from a simple free energy minimization principle. Rather\, the
  mechanism of these transitions depends crucially on the system’s dynami
 cs\, which requires us to analyze them in trajectory space rather than in 
 phase space. Here we consider situations where the path of the transitions
  between competing metastable states can be characterized as the minimizer
  of an action\, whose minimum value can be used in a nonequilibrium genera
 lization of the Arrhenius law. We also introduce a new numerical tool for 
 the minimization of this action. This tool is general enough to be transpo
 rtable to many situations of interest\, in particular when the fluctuation
 s in the microscopic system are non-Gaussian and the dynamics is not gover
 ned by the standard Langevin equation with additive noise. As an illustrat
 ion of the method\, I will pinpoint the first-order phase transition of tw
 o spatially-extended nonequilibrium systems: the one of a reaction-diffusi
 on network based on the Schlögl model\, and the one of the Active Model B
 \, the natural nonequilibrium extension of the Cahn-Hilliard dynamics. Not
 ably\, the paths of the transitions\, including their critical nuclei\, ar
 e identified.\n\nRef: Minimum Action Method for Nonequilibrium Phase Trans
 itions\, Ruben Zakine and Eric Vanden-Eijnden\, https://arxiv.org/abs/2202
 .06936
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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