title: Field theoretic renormalization group in a model of anisotropic growth of an interface
metadata.name: dc.contributor.author
metadata.value: Antonov, Nikolay V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kakin, Polina I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-03-20T15:14:11Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-03-20T15:14:11Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-12
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu04.2016.401
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6102
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We study effects of turbulent mixing on the random growth of an interface in the problem of the
  deposition of a substance on a substrate. The growth is described by theWolf model—anisotropic
  generalisation of Kardar—Parisi—Zhang model. The turbulent advecting velocity field is modelled
  by the anisotropic Avellaneda—Majda ensemble. Gaussian statistics with the correlation
  function  vv  ∝ δ(t − t )δ(k ) k
  −d+1−ξ
  ⊥ , where k is the wave number and 0 < ξ < 2 is a free parameter.
  Using the field theoretic renormalization group we establish existence of the fixed points
  both for the model without advection and for the model with it — in the former case the results are in a good adreement with those of Wolf. It turns out that in the case of spacial dimension
  d = 2, all found fixed points converge to one — a Gaussian point; nevertheless, this does not
  forbid the existence of the physical “non-perturbative” strong-coupling fixed point of Kardar—Parisi—
  Zhang model which can survive in our model. Addition of the velocity field destroys stability
  of the fixed points and forbids “good” perturbative fixed point of Kardar—Parisi—Zhang model.
  Practical calculations of the fixed point coordinates and their regions of stability are calculated
  to the first order of the (double) expansion in ξ and ε = 2−d (one-loop approximation). Refs 30.
  Tables 1.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа поддержана грантами РФФИ (№ 16-32-00086) и DAAD/СПбГУ (№ 11.23.1138.2016).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Series 4. Physics. Chemistry;Vol. 3 (61); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: non-equilibrium systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: renormalization group
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: critical behavior
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: scaling
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Field theoretic renormalization group in a model of anisotropic growth of an interface
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 01-Antonov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6102/1/01-Antonov.pdf
resources.format: Adobe PDF
resources.size: 337,62 kB