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- W2025786375 abstract "An analytic approximation of the mass function for gravitationally bound objects is presented. Based on the Zeldovich approximation, we extend the Press-Schechter formalism to a nonspherical dynamical model. A simple extrapolation of that approximation suggests that the gravitational collapse along all three directions, which eventually leads to the formation of real virialized object clumps, occurs in the regions where the lowest eigenvalue of the deformation tensor, λ3, is positive. We derive the conditional probability of λ3 > 0 as a function of the linearly extrapolated density contrast δ and the conditional probability distribution of δ, provided that λ3 > 0. These two conditional probability distributions show that the most probable density of the bound regions (λ3 > 0) is roughly 1.5 on the characteristic mass scale M* and that the probability of λ3 > 0 is almost unity in the highly overdense regions (δ > 3σ). Finally, an analytic mass function of clumps is derived with the help of one simple Ansatz, which is employed to treat the multistream regime beyond the validity of the Zeldovich approximation. The resulting mass function is renormalized by a factor of 12.5, which we justify with a sharp k-space filter by means of the modified Jedamzik analysis. Our mass function is shown to be different from the Press-Schechter one, having a lower peak and predicting more small-mass objects." @default.
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- W2025786375 date "1998-06-10" @default.
- W2025786375 modified "2023-10-11" @default.
- W2025786375 title "The Cosmological Mass Distribution Function in the Zeldovich Approximation" @default.
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- W2025786375 doi "https://doi.org/10.1086/305710" @default.
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