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SUMMARY:Longitudinal motion effects on transverse particle transport by ra
 ndom field
DTSTART;VALUE=DATE-TIME:20260922T130000Z
DTEND;VALUE=DATE-TIME:20260922T130500Z
DTSTAMP;VALUE=DATE-TIME:20260914T053213Z
UID:indico-contribution-535@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Oleksandr Cherniak (Bogolyubov Institute for Theoret
 ical Physics)\nTransport of a passive scalar in a given field is a common 
 problem in plasma systems\, the atmosphere\, ocean flows\, etc. It can be 
 formulated as a problem to recover the temporal evolution of a particle en
 semble in a given field based on known statistical characteristics of this
  field. An important peculiarity in such a system concerns the interplay o
 f two time scales\, namely the correlation time of the given field and the
  particle distribution function evolution time. When the correlation time 
 of the random field is much shorter than the particle distribution functio
 n evolution time\, the well-known Brownian motion approach is applicable t
 o such a system. When the situation is reversed\, new assumptions are need
 ed to build a correct statistical approach. The most vivid effects of thes
 e time scales interplay are obtained for two-dimensional systems\, yet the
  three-dimensional ones are also interesting from a practical point of vie
 w.\nFor the two-dimensional transport of the passive scalar\, we formulate
 d a unified statistical approach that takes into account finite and infini
 te correlation time and finite Larmor radius effects\, and that is able to
  correctly recover the transition from a sub-diffusive behavior for long c
 orrelation time to a diffusive one for short correlation time of a random 
 electric field. Such behavior of the asymptotic diffusion coefficient is i
 nseparable from particle trapping effects and the integral of motion that 
 is defined in two-dimensional systems. Although the three-dimensional syst
 ems lack such an integral of motion\, the effect of slow motion along the 
 third dimension is yet to be examined by our statistical approach.\nIn thi
 s work\, we consider a three-dimensional test particle motion in crossed r
 andom electric and constant magnetic fields. We present a statistical appr
 oach based on a two-dimensional one that takes into account particle motio
 n along a constant magnetic field. The calculations of transport coefficie
 nts obtained by this statistical approach are validated by direct numerica
 l simulation. The effects of finite Larmor radius\, finite correlation tim
 e and particle motion along the magnetic field on particle transport acros
 s the magnetic field are examined.\n\nhttps://indico.bitp.kiev.ua/event/18
 /contributions/535/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/535/
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