Stability of Scale‐invariant Cosmological Correlation Functions in the Strongly Nonlinear Clustering Regime | Zendy

Taihei Yano | Zendy; Naoteru Gouda | Zendy

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Stability of Scale‐invariant Cosmological Correlation Functions in the Strongly Nonlinear Clustering Regime

Author(s) -

Taihei Yano,

Naoteru Gouda

Publication year - 1998

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/305300

Subject(s) - scale invariance , bbgky hierarchy , skewness , nonlinear system , statistical physics , instability , physics , correlation function (quantum field theory) , invariant (physics) , stability (learning theory) , mathematics , power index , mathematical analysis , mathematical physics , statistics , spectral density , quantum mechanics , distribution function , machine learning , computer science , mathematical economics

We investigate stability of the scale-invariant solutions of the BBGKYequations for two-point spatial correlation functions of the densityfluctuations in the strongly non-linear regime. In the case that the backgroundskewness of the velocity field is equal to 0, we found that there is no localinstability in the strongly non-linear regime. The perturbation does not grownor does it decay. It has an only marginal stable mode. This result means thatno special value of the power index of the two-point spatial correlationfunction are favored in terms of the stability of the solutions. In otherwords, the argument about the stability does not determine the power index ofthe two-point spatial correlation functions in the strongly non-linear regime.Comment: 16 pages, no figures, uses aaspp4.sty, Submitted to Ap

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