Combined effects of small scale anisotropy and compressibility on anomalous scaling of a passive scalar

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21260%2F08%3A00202064" target="_blank" >RIV/68407700:21260/08:00202064 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.worldscientific.com/doi/abs/10.1142/S0217979208048565?prevSearch=scholtz&searchHistoryKey=" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/S0217979208048565?prevSearch=scholtz&searchHistoryKey=</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217979208048565" target="_blank" >10.1142/S0217979208048565</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Combined effects of small scale anisotropy and compressibility on anomalous scaling of a passive scalar

Popis výsledku v původním jazyce

The model of a passive scalar field advected by the compressible Gaussian strongly anisotropic velocity field with the covariance proportional to delta(t - t') vertical bar x - x'vertical bar(2 epsilon) is studied using the field theoretic renormalization group and the operator product expansion. The inertial-range stability of the corresponding scaling regime is established. The anomalous scaling of the single-time structure functions is studied and the corresponding anomalous exponents are calculated.Their dependence on the compressibility parameter and anisotropy parameters is analyzed. It is shown that, as in the isotropic case, the presence of compressibility leads to the decrease of the critical dimensions of the important composite operators, i.e., the anomalous scaling is more pronounced in the compressible systems. All calculations are done to the first order in epsilon.

Název v anglickém jazyce

Combined effects of small scale anisotropy and compressibility on anomalous scaling of a passive scalar

Popis výsledku anglicky

The model of a passive scalar field advected by the compressible Gaussian strongly anisotropic velocity field with the covariance proportional to delta(t - t') vertical bar x - x'vertical bar(2 epsilon) is studied using the field theoretic renormalization group and the operator product expansion. The inertial-range stability of the corresponding scaling regime is established. The anomalous scaling of the single-time structure functions is studied and the corresponding anomalous exponents are calculated.Their dependence on the compressibility parameter and anisotropy parameters is analyzed. It is shown that, as in the isotropic case, the presence of compressibility leads to the decrease of the critical dimensions of the important composite operators, i.e., the anomalous scaling is more pronounced in the compressible systems. All calculations are done to the first order in epsilon.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2008

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Modern Physics B

ISSN

0217-9792

e-ISSN

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Svazek periodika

22

Číslo periodika v rámci svazku

21

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

29

Strana od-do

3589-3617

Kód UT WoS článku

000259047200003

EID výsledku v databázi Scopus

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