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On the algebraic structure of particle motion in a field of turbulence

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Резюме

Двuженuе чaсmuц в mурбуленmно м mеченuu оnuсывaем сре¶rt;сmвaмu aл

ебрauческоŭ фuзuкu. Исхо¶rt;нымu nоняmuямu являюmся сmрукmурно уnоря¶rt;оченные

руnnоu¶rt;ы, ло

uческu оm нuх зaвuсящuе aл

ебры нaблю¶rt;aемых со связямu u некaнонuческuŭ nерехо¶rt; меж¶rt;у ¶rt;вумя

aмuльmонuaнaмu. Некaнонuческuŭ nерехо¶rt; nрuво¶rt;um к зaмене временu t новым naрaмеmром. Е

о ¶rt;еŭсmвumельныŭ aнaло

оnре¶rt;еляеm нuжнюю

рaнuцу временно

о шa

a в рaзносmном урaвненuм nереносa, оnuрaющемся нa nолуэмnuрuческое урaвненuе mурбуленmноŭ ¶rt;uффузuu.

Summary

The motion of particles in a turbulent flow is described by means of algebraic physics. The initial concepts are structurally ordered groupoids, algebras of observables, logically dependent on them, with couplings and the non-canonic transition between two Hamiltonians. The non-canonic transition leads to the substitution of time t by a new parameter. Its real counterpart gives the lower limit of the size of the time step in the differential equation of transfer, based on the semi-empirical image of turbulent diffusion.

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References

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Authors and Affiliations

  1. Institute of the Physics of the Atmosphere, Czechosl. Acad. Sci., Prague

    Jiří Horák

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  1. Jiří Horák
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Horák, J. On the algebraic structure of particle motion in a field of turbulence. Stud Geophys Geod 31, 315–323 (1987). https://doi.org/10.1007/BF01624761

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  • DOI: https://doi.org/10.1007/BF01624761

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