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SUMMARY:Renormalization group analysis of randomly growing surface with ac
 tive feedback on incompressible fluid
DTSTART;VALUE=DATE-TIME:20261027T162500Z
DTEND;VALUE=DATE-TIME:20261027T163000Z
DTSTAMP;VALUE=DATE-TIME:20261021T015542Z
UID:indico-contribution-6448@cern.ch
DESCRIPTION:Speakers: Egor Parkhomenko ()\nStochastic dynamics of a scalar
  field evolving according to the nonlinear Kardar–Parisi–Zhang (KPZ) \
 nequation and interacting with a randomly moving incompressible fluid is i
 nvestigated. \nThe fluid dynamics is described by the stochastic Navier–
 Stokes equation with an external random force. \nIn a difference with prev
 ious studies\, an active feedback reaction of the growing surface profile 
 \non the fluid velocity field is included. The analysis is performed withi
 n the field-theoretic approach \nand Renormalization Group (RG) framework.
  Renormalization constants\, $\\beta$-functions\, and anomalous \ndimensio
 ns are calculated in the one-loop approximation using dimensional regulari
 zation and Minimal \nSubtraction (MS) scheme. Fixed points of the RG equat
 ions are found\, and their infrared (IR) stability \nis examined via eigen
 values of the stability matrix. The main physical result is that at the on
 ly \nIR-attractive fixed point\, the coupling constant corresponding to th
 e active feedback of the scalar field \non the fluid vanishes. This means 
 that at macroscopic spatial and temporal scales\, turbulent mixing \ndomin
 ates and suppresses the hydrodynamic response induced by the growing surfa
 ce.\n\nhttps://indico.particle.mephi.ru/event/626/contributions/6448/
LOCATION:Sevastopol hotel Conference Hall 1
URL:https://indico.particle.mephi.ru/event/626/contributions/6448/
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