On the convergence of multiplicative branching processes in dynamics of fluid flows

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dc.creatorVolchenkov, D.
dc.creatorLima, R.
dc.date2006-06-14
dc.date.accessioned2026-07-07T07:12:39Z
dc.date.available2026-07-07T07:12:39Z
dc.descriptionThe Brownian motion over the space of fluid velocity configurations driven by the hydrodynamical equations is considered. The Green function is computed in the form of an asymptotic series close to the standard diffusion kernel. The high order asymptotic coefficients are studied. Similarly to the models of quantum field theory, the asymptotic contributions demonstrate the factorial growth and are summated by means of Borel's procedure. The resulting corrected diffusion spectrum has a closed analytical form. The approach provides a possible ground for the optimization of existing numerical simulation algorithms and can be used in purpose of analysis of other asymptotic series in turbulence.
dc.description22 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/cond-mat/0606364
dc.identifierhttp://arxiv.org/abs/cond-mat/0606364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112148
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleOn the convergence of multiplicative branching processes in dynamics of fluid flows
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