arXiv subjects

Jounghun Lee

Publications and source records attributed to Jounghun Lee.

120 records · Page 7Linked to original sources

arXiv2002

Modeling Intra-Cluster Gas in Triaxial Dark Halos : An Analytical Approach

We present the first physical model for the non-spherical intra-cluster gas distribution in hydrostatic equilibrium under the gravity of triaxial dark matter halos. Adopting the concentric triaxial density profiles of the dark halos with constant axis ratios proposed by Jing & Suto (2002), we derive an analytical expression for the triaxial halo potential on the basis of the perturbation theory, and find the hydrostatic solutions for the gas density and temperature profiles both in isothermal and polytropic equations of state. The resulting iso-potential surfaces are well approximated by triaxial ellipsoids with the eccentricities dependent on the radial distance. We also find a formula for the eccentricity ratio between the intra-cluster gas and the underlying dark halo. Our results allow one to determine the shapes of the underlying dark halos from the observed intra-cluster gas through the X-ray and/or the Sunyaev-Zel'dovich effects clusters.

astro-ph↗

arXiv2002

A Statistical Strategy for the Sunyaev-Zel'dovich Effect's Cluster Data

We present a statistical strategy for the efficient determination of the cluster luminosity function from the Sunyaev-Zel'dovich (SZ) effects survey. To determine the cluster luminosity function from the noise contaminated SZ map, we first define the zeroth-order cluster luminosity function as a discrepancy between the measured peak number density of the SZ map and the mean number density of noise. Then we demonstrate that the noise contamination effects can be removed by the stabilized deconvolution of the zeroth-order cluster luminosity function with the one-dimensional Gaussian distribution. We test this analysis technique against Monte-Carlo simulations, and find that it works quite well especially in the medium amplitude range where the conventional cluster identification method based on the threshold cut-off usually fails.

astro-ph↗

arXiv2002

Bias and Conditional Mass Function of Dark Halos Based on the Nonspherical Collapse Model

Nonspherical collapse is modelled, under the Zeldovich approximation, by six-dimensional random walks of the initial deformation tensor field. The collapse boundary adopted here is a slightly-modified version of that proposed by Chiueh and Lee (2001). Not only the mass function agrees with the fitting formula of Sheth and Tormen (1999), but the bias function and conditional mass function constructed by this model are also found to agree reasonably well with the simulation results of Jing (1998) and Somerville et al. (2000), respectively. In particular, by introducing a small mass gap, we find a fitting formula for the conditional mass function, which works well even at small time intervals between parent and progenitor halos during the merging history.

astro-ph↗

arXiv2002

An Analytical Approach to the Spin-Distribution of Dark Halos

We derive the distribution of the dimensionless specific angular momentum of dark matter halos, $P(j)$, in the framework of the standard tidal torque theory, and explain the characteristic shape of $P(j)$ commonly observed in N-body simulations. A scalar quantity (shear scalar), $r$, is introduced for measuring the effective strength of the tidal torque force acting upon the halo from the surrounding matter. It is found that the ubiquitous and broad shape of $P(j)$ can mostly be attributed to the unique property of the shear scalar $r$, and also that $P(j)$ is insensitve to the underlying collapse dynamics. Our result demonstrates that although the shape of $P(j)$ is ubiquitous and close to log-normal, the distribution is not exactly log-normal but decays exponentially at the high angular momentum end, and drops slowly as a power-law with an index 2 at the low angular momentum end.

astro-ph↗

arXiv2002

Detection of Galaxy Spin Alignments in the PSCz Shear Field

We report the first direct observational evidence for alignment of galaxy spin axes with the local tidal shear field. We measure quantitatively the strength of this directional correlation of disk galaxies from the Tully catalog with the local shear field reconstructed from PSCz galaxies. We demonstrate that the null hypothesis of random galaxy alignments relative to the shear frame can be ruled out more than 99.98 % confidence. The observed intrinsic correlation averaged over the censored samples that have detected non-zero signals is measured in terms of the alignment parameter 'a=0.17 +/- 0.04', which includes only statistical errors of the censored data, but not the cosmic variance error. The reconstruction procedure is likely to underestimates 'a' systematically. Our result is consistent with the linear tidal torque model, and supports the idea that the present galaxy spins may be used as a probe of primordial tidal shear and mass density fields. The intrinsic alignments of galaxy spins dominate over weak gravitational lensing for shallow surveys such like SDSS, while it should be negligible for deeper surveys at z ~ 1.

astro-ph↗

arXiv2001

On the Nonspherical Nature of Halo Formation

We present a new collapse condition to describe the formation of dark halos via nonspherical gravitational clustering. This new nonspherical collapse condition is obtained by the logical generalization of the spherical model to the nonspherical one. By solving a diffusion-like random matrix equation with the help of the Monte Carlo method, we show that this nonspherical collapse condition yields the mass function derived by Sheth & Tormen (1999) which has been shown to be in excellent agreement with the recent N-body results of high resolution. We expect that this nonspherical collapse condition might provide us a deeper insight into the structure formation, and suggest that it should be widely applied to various cosmological issues such as the galaxy merging history, the galaxy bias, and so forth.

astro-ph↗

arXiv2001

Galaxy Spin Statistics and Spin-Density Correlation

We present a theoretical study of galaxy spin correlation statistics, with detailed technical derivations. We also find an expression for the spin-density cross-correlation, and apply that to the Tully galaxy catalog. The observational results appear qualitatively consistent with the theoretical predictions, yet the error bars are still large. However, we expect that currently ongoing large surveys such as the Sloan Digital Sky survey (SDSS) will enable us to make a precision measurement of these correlation statistics in the near future. These intrinsic galaxy alignments are expected to dominate over the weak lensing signal in SDSS, and we present the detailed algorithms for the density reconstruction for this case. These observables are tracers of the galaxy-gravity interaction, which may provide us deeper insights into the galaxy formation and large scale matter distribution as well.

astro-ph↗

arXiv2000

Tentative Detection of Galaxy Spin Correlations in the Tully Catalogue

We report a tentative detection of spin correlations in the Tully catalogue of nearby galaxies. We define a simple but nontrivial spin correlation function, and find an analytic estimate of it in the frame of the linear perturbation theory. Then, we present the observed spin correlation signal from the Tully galaxies with error bars. The three dimensional spin correlation turns out to be significant at the 97% confidence level, detected out to a few $h^{-1}$ Mpc. This observed correlation is consistent with the theoretical prediction based on the gravitational instability picture of galaxy formation. An analysis of systematic errors is also presented. The observed strength of correlation may be sufficient to significantly affect blank field of weak lensing searches.

astro-ph↗

arXiv2000

Cosmic Shear from Galaxy Spins

We discuss the origin of galactic angular momentum, and the statistics of the present day spin distribution. It is expected that the galaxy spin axes are correlated with the intermediate principal axis of the gravitational shear tensor. This allows one to reconstruct the shear field and thereby the full gravitational potential from the observed galaxy spin fields. We use the direction of the angular momentum vector without any information of its magnitude, which requires a measurement of the position angle and inclination on the sky of each disk galaxy. We present the maximum likelihood shear inversion procedure, which involves a constrained linear minimization. The theory is tested against numerical simulations. We find the correlation strength of nonlinear structures with the initial shear field, and show that accurate large scale density reconstructions are possible at the expected noise level.

astro-ph↗

arXiv1999

Comparison of Analytical Mass Functions with Numerical Simulations

We present numerical testing results of our mass function derived in our previous paper, and compare the testing results with those of the popular Press-Schechter (PS) mass function. Two fiducial models are considered for the test: the scale-free power-law spectra P(k) \propto k^{n} with spectral indices n=-1, 0 and the standard cold dark matter (SCDM) model with Omega =1 and h=0.5. For the power-law models, we use numerical data averaged over several different output times: ten output times from two N-body realizations for the n=-1 power-law model; four outputs from one realization for the n=0 model. While for the SCDM model, we consider four outputs separately at redshifts z = 0, 0.43, 1.14 and 1.86 from one large N-body simulations. The comparison results show that our mass function fits the numerical data in a much improved way over the PS one. Thus, we expect that our mass function can be a viable alternative of the PS mass function in applications to various areas.

astro-ph↗

arXiv1998

The Large Scale Biasing and the Primordial Gravitational Potential

We modified the Press-Schechter (PS) formalism and then analytically derived a constrained mass distribution function n(M|varphi) for the regions having some specified value of the primordial gravitational potential, varphi. The resulting modified PS theory predicts that gravitationally bound clumps with masses corresponding to rich clusters are significantly biased toward the regions of negative primordial potential - the troughs of the potential. The prediction is quantitative, depending on the mass and the depth of the troughs, which can be tested in large N-body simulations. As an illustration of the magnitude of the effect we calculate the constrained mass function for the CDM model with Gamma = Omega h = 0.25 normalized to sigma_{8} = 1. In particular, we show that the probability of finding a clump of mass 10^{14} - 10^{15}h^{-1}M_{odot} in the region of negative initial potential is 1.3 - 3 times greater (depending on the mass) than that in the region of positiveinitial potential. The scale of the potential fluctuations R_{varphi}=sqrt{3} sigma_{varphi}/sigma_{varphi'} is shown to be approx 120 h^{-1} Mpc for the spectrum in question. The rms mass density contrast on this scale is only about sigma_{delta}(R_{varphi}) approx 0.03. Assuming that the modified PS theory is statistically correct, we conclude that clusters are significantly biased (b ge 10, b is a bias factor defined by Delta n_{cl}/ n_{cl} = b Delta rho_m/rho_m) toward the regions having negative initial potential.

astro-ph↗

arXiv1997

The Cosmological Mass Distribution Function in the Zel'dovich Approximation

An analytic approximation to the mass function for gravitationally bound objects is presented. We base on the Zel'dovich approximation to 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 objects - clumps occur in the regions where the lowest eigenvalue of the deformation tensor,lambda_{3}, is positive. We derive the conditional probability of lambda_{3}>0 as a function of the linearly extrapolated density contrast, delta, and the conditional probability distribution of delta provided that lambda_{3}>0. These two conditional probability distributions show that the most probable density of the bound regions (lambda_{3}>0) is roughly 1.5 at the characteristic mass scale, and that the probability of lambda_{3}>0 is almost unity in the highly overdense regions (delta>3*sigma). Finally an analytic mass function of clumps is derived with a help of one simple ansatz which is employed to treat the multistream regions beyond the validity of the Zel'dovich 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.

astro-ph↗