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Yehuda Hoffman

Publications and source records attributed to Yehuda Hoffman.

At least 127 records · Page 7Linked to original sources
arXiv2005

Constrained Simulations of Dark Matter Halos

The formation and structure of dark matter halos is studied by constrained simulations. A series of experiments of the formation of a 10^12 Msun/h halo is designed to study the dependence of the density profile on its merging history. We find that the halo growth consist of several quiescent phases intermitted by violent events, with the density well approximated by the NFW profile during the former phases. We find that (1) the NFW scale radius R_s stays constant during the quiescent phase and grows abruptly during the violent one. In contrast, the virial radius grows linearly during the quiescent and abruptly during the violent phases. (2) The central density stays unchanged during the quiescent phase while dropping abruptly during the violent phase, and it does not reflect the formation time of the halo. (3) The clear separation of the evolution of an individual halo into quiescent and violent phases implies that its entire evolution cannot be fitted by simple scaling relations.

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arXiv2005

Constrained Cosmological Simulations of Dark Matter Halos

The formation and structure of dark matter (DM) halos is studied by means of constrained realizations of Gaussian fields using N-body simulations. A series of experiments of the formation of a 10^{12} Msun halo is designed to study the dependence of the density profile on its merging history. We confirm that the halo growth consists of violent and quiescent phases, with the density well approximated by the Navarro-Frenk-White (NFW) profile during the latter phases. We find that (1) the NFW scale radius R_s stays constant during the quiescent phase and grows abruptly during the violent one. In contrast, the virial radius grows linearly during the quiescent and abruptly during the violent phases. (2) The central density stays unchanged during the quiescent phase while dropping abruptly during the violent phase. (3) The value of \rs reflects the violent merging history of the halo, and depends on the number of violent events and their fractional magnitudes, independent of the time and order of these events. It does not reflect the formation time of the halo. (4) The fractional change in R_s is a nonlinear function of the fractional absorbed kinetic energy within R_s in a violent event.

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arXiv2004

Flat-Cored Dark Matter in Cuspy Clusters of Galaxies

Sand, Treu, & Ellis (2002) have measured the central density profile of cluster MS2137-23 with gravitational lensing and velocity dispersion and removed the stellar contribution with a reasonable M/L. The resulting dark matter distribution within r<50 kpc was fitted by a density cusp of r^{-beta} with beta=0.35. This stands in an apparent contradiction to the CDM prediction of beta~1, and the disagreement worsens if adiabatic compression of the dark matter by the infalling baryons is considered. Following El-Zant, Shlosman & Hoffman (2001), we argue that dynamical friction acting on galaxies moving within the dark matter background counters the effect of adiabatic compression by transfering the orbital energy of galaxies to the dark matter, thus heating up and softening the central density cusp. Using N-body simulations of massive solid clumps moving in clusters we show that indeed the inner dark matter distribution flattens (with beta approx 0.35 for a cluster like MS2137-23) when the galaxies spiral inward. We find as a robust result that while the dark matter distribution becomes core-like, the overall mass distribution preserves its cuspy nature, in agreement with X-ray and lensing observations of clusters.

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arXiv2003

Cluster mass functions in the quintessential Universe

We use $N$-body simulations to measure mass functions in flat cosmological models with quintessence characterized by constant $w$ with $w=-1$, -2/3 and -1/2. The results are compared to the predictions of the formula proposed by Jenkins et al. at different redshifts, in terms of FOF masses as well as Abell masses appropriate for direct comparison to observations. The formula reproduces quite well the mass functions of simulated haloes in models with quintessence. We use the cluster mass function data at a number of redshifts from Carlberg et al. to constrain $Ω_0$, $σ_8$ and $w$. The best fit is obtained in the limit $w \to 0$, but none of the values of $w$ in the considered range $-1 \le w < 0$ can actually be excluded. However, the adopted value of $w$ affects significantly the constraints in the $Ω_0-σ_8$ plane. Taking into account the dependence on $w$ we find $Ω_0=0.32 \pm 0.15$ and $σ_8=0.85_{-0.12}^{+0.38}$ (68% c.l.). Since less negative $w$ push the confidence regions toward higher $Ω_0$ and lower $σ_8$ we conclude that relaxing the assumption of $w=-1$ typically made in such comparisons may resolve the discrepancy between recent cluster mass function results (yielding rather low $Ω_0$ and high $σ_8$) and most other estimates. The fact that high $w$ values are preferred may however also point towards some unknown systematics in the data or the model with constant $w$ being inadequate.

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arXiv2003

The structure of voids

Using high resolution N-body simulations we address the problem of emptiness of giant 20 Mpc/h diameter voids found in the distribution of bright galaxies. Are the voids filled by dwarf galaxies? Do cosmological models predict too many small dark matter haloes inside the voids? Can the problems of cosmological models on small scales be addressed by studying the abundance of dwarf galaxies inside voids? We find that voids in the distribution of 10^12 Msun/h haloes (expected galactic magnitudes ~ M_*) are almost the same as the voids in 10^11 Msun/h haloes. Yet, much smaller haloes with masses 10^9 Msun/h and circular velocities v_circ about 20 km/s readily fill the voids: there should be almost 1000 of these haloes in a 20 Mpc/h void. A typical void of diameter 20 Mpc/h contains about 50 haloes with v_circ > 50 km/s. The haloes are arranged in a pattern, which looks like a miniature Universe: it has the same structural elements as the large-scale structure of the galactic distribution of the Universe. There are filaments and voids; larger haloes are at the intersections of filaments. The only difference is that all masses are four orders of magnitude smaller. There is severe (anti)bias in the distribution of haloes, which depends on halo mass and on the distance from the centre of the void. Large haloes are more antibiased and have a tendency to form close to void boundaries. The mass function of haloes in voids is different from the ``normal'' mass function. It is much steeper for high masses resulting in very few M33-type galaxies (v_circ about 100 km/s). We present an analytical approximation for the mass function of haloes in voids.

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arXiv2002

Simulations of the Local Universe

The theory of structure formation predicts that galaxies form within extended massive dark matter halos built from smaller pieces that collided and merged, resulting in the hierarchy of galaxies, groups, and clusters observed today. Here we present constrained numerical simulations designed to match the observed local universe as well as possible and to study the formation, evolution and present day properties of such dark matter halos in different environments. Simulations have been done with different versions of the Adaptive Refinement Tree (ART) N-body code, some of them including eulerian gasdynamics.

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arXiv2002

Consistent beta values from density-density and velocity-velocity comparisons

We apply a new algorithm, called the Unbiased Minimal Variance (hereafter UMV) estimator, to reconstruct the cosmic density and peculiar velocity fields in our local universe from the SEcat catalog of peculiar velocities comprising both early (ENEAR) and late type (SFI) galaxies. The reconstructed fields are compared with those predicted from the IRAS PSCz galaxy redshift survey to constrain the value of beta = Omega_m^{0.6}/b, where Omega_m and b are the mass density and the bias parameters. The comparison of the density and velocity fields is carried out within the same methodological framework, and leads, for the first time, to consistent values of beta, yielding beta = 0.57_{-0.13}^{+0.11} and beta = 0.51 +/- {0.06}, respectively. We find that the distribution of the density and velocity residuals, relative to their respective errors, is consistent with a Gaussian distribution with sigma approximately 1, indicating that the density field predicted from the PSCz is an acceptable fit to that deduced from the peculiar velocities of the SEcat galaxies.

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arXiv2002

Testing Tidal-Torque Theory: I. Spin Amplitude and Direction

We evaluate the success of linear tidal-torque theory (TTT) in predicting galactic-halo spin using a cosmological N-body simulation with thousands of well-resolved haloes. The proto-haloes are identified by tracing today's haloes back to the initial conditions. The TTT predictions for the proto-haloes match, on average, the spin amplitudes of today's virialized haloes if linear growth is assumed until ~t_0/3, or 55-70 per cent of the halo effective turn-around time. This makes it a useful qualitative tool for understanding certain average properties of galaxies, such as total spin and angular-momentum distribution within haloes, but with a random scatter of the order of the signal itself. Non-linear changes in spin direction cause a mean error of ~50 degrees in the TTT prediction at t_0, such that the linear spatial correlations of spins on scales >~ 1 Mpc/h are significantly weakened by non-linear effects. This questions the usefulness of TTT for predicting intrinsic alignments in the context of gravitational lensing. We find that the standard approximations made in TTT, including a second order expansion of the Zel'dovich potential and a smoothing of the tidal field, provide close-to-optimal results.

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arXiv2002

Testing Tidal-Torque Theory: II. Alignment of Inertia and Shear and the Characteristics of Proto-haloes

We investigate the cross-talk between the two key components of tidal-torque theory, the inertia (I) and shear (T) tensors, using a cosmological N-body simulation with thousands of well-resolved haloes. We find that the principal axes of I and T are strongly aligned, even though I characterizes the proto-halo locally while T is determined by the large-scale structure. Thus, the resultant galactic spin, which plays a key role in galaxy formation, is only a residual due to ~10 per cent deviations from perfect alignment of T and I. The T-I correlation induces a weak tendency for the proto-halo spin to be perpendicular to the major axes of T and I, but this correlation is erased by non-linear effects at late times, making the observed spins poor indicators of the initial shear field. However, the T-I correlation implies that the shear tensor can be used for identifying the positions and boundaries of proto-haloes in cosmological initial conditions -- a missing piece in galaxy formation theory. The typical configuration is of a prolate proto-halo lying perpendicular to a large-scale high-density ridge, with the surrounding voids inducing compression along the major and intermediate inertia axes of the proto-halo. This leads to a transient sub-halo filament along the large-scale ridge, whose sub-clumps then flow along the filament and merge into the final halo. The centres of proto-haloes tend to lie in ~1 sigma over-density regions, but their association with linear density maxima smoothed on galactic scales is vague: only ~40 per cent of the proto-haloes contain peaks within them. Several other characteristics distinguish proto-haloes from density peaks, e.g., they tend to compress along two principal axes while many peaks compress along three axes.

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arXiv2001

Constrained Simulations of the Real Universe: II. Observational Signatures of Intergalactic Gas in the Local Supercluster Region

We present results of gasdynamics+N-body constrained cosmological simulations of the Local Supercluster region (LSC; about 30/h Mpc around the Virgo cluster), which closely mimic the real Universe within 100 Mpc by imposing constraints from Mark III catalog of galaxy peculiar velocities. The simulations are used to study the properties and possible observational signatures of intergalactic medium in the LSC region. We find that, in agreement with previous unconstrained simulations, about 30% of the gas in this region is in the warm/hot phase at T~10^5-10^7 K, and about 40% in the diffuse phase at T<10^5 K in low-density regions. The best prospects for detection of the warm/hot intergalactic medium of the LSC located in filaments and in the vicinity of virialized regions of groups and clusters are through absorption in resonant lines of OVII and OVIII in soft X-rays and in the OVI doublet in UV. If intergalactic gas in filaments (rho/ ~ 1-10) is enriched to typical metallicities of >0.05, the column densities of OVI, OVII, and OVIII along a random line of sight near the North Galactic Pole, especially near the supergalactic plane, have a significant probability to be in the range detectable by the current (FUSE,XMM) and future (Constellation-X) instruments. (Abridged)

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arXiv2001

Shaping the central structure in CDM halos

Coupling the dark matter (DM) and baryonic components in galaxies via dynamical friction (by allowing the latter to be clumpy) leads to energy input into the DM. The resulting expanding tendency in the DM component overcomes the competing effect of adiabatic contraction, resulting from the shrinking gas component, and leads to a nearly constant density core. The baryonic mass inflow also leads to the coupling of the structure at the kpc scale and below and that of the structure of the DM at the 10 kpc scale and above, with rate of mass inflow being dependent on the initial halo central concentration. The latter also determines the final halo core radius.

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arXiv2001

Constrained Simulations of the Real Universe: the Local Supercluster

We present cosmological simulations which closely mimic the real Universe within 100Mpc of the Local Group. The simulations, called Constrained Simulations, reproduce the large-scale density field with major nearby structures, including the Local Group, the Coma and Virgo clusters, the Great Attractor, the Perseus-Pices, and the Local Supercluster, in approximately correct locations. The MARK III survey of peculiar velocities of the observed structures inside 80Mpc/h sphere is used to constrain the initial conditions. Fourier modes on scales larger then 5Mpc/h are dominated by the constraints, while small scale waves are random. The main aim of this paper is the structure of the Local Supercluster (LSC; 30Mpc/h around the Virgo cluster) and the Local Group environment. We find that at the current epoch most of the mass (7.5e14Msun/h) of the LSC is located in a filament roughly centered on the Virgo cluster and extending over 40Mpc/h. The simulated Local Group (LG) is located in an adjacent smaller filament, which is not a part of the main body of the LSC, and has a peculiar velocity of 250kms toward the Virgo cluster. The peculiar velocity field in the LSC region is complicated and is drastically different from the field assumed in the Virgocentric infall models. The peculiar velocity flow in the vicinity of the LG in the simulation is ``cold'': the peculiar line-of-sight velocity dispersion within 7Mpc/h of the LG is less than 60km/s, comparable to the observed velocity dispersion of nearby galaxies.

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arXiv2001

Dark Halos: The Flattening of the Density Cusp by Dynamical Friction

N-body simulations and analytical calculations of the gravitational collapse in an expanding universe predict that halos should form with a diverging inner density profile, the cusp. There are some observational indications that the dark matter distribution in galaxies might be characterized by a finite core. This `core catastrophe' has prompted a search for alternatives to the CDM cosmogony. It is shown here that the discrepancy between theory and observations can be very naturally resolved within the standard CDM model, provided that gas is not initially smoothly distributed in the dark matter halo, but rather is concentrated in clumps of mass $\geq 0.01 %$ the total mass of the system. Dynamical friction acting on these lumps moving in the background of the dark matter particles, dissipates the clumps orbital energy and deposits it in the dark matter. Using Monte-Carlo simulations, it is shown that the dynamical friction provides a strong enough drag, and that with realistic baryonic mass fractions, the available orbital energy of the clumps is sufficient to heat the halo and turn the primordial cusp into a finite, non-diverging core --- overcoming the competing effect of adiabatic contraction due to gravitational influence of the shrinking baryonic component. Depending on the initial conditions, the total density distribution may either become more or less centrally concentrated. Possible consequences of the proposed mechanism for other problems in the CDM model and for the formation and early evolution of the baryonic component of galaxies are also briefly discussed.

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arXiv2000

Reconstruction of the Zone of Avoidance

The uncovering of the large-scale structure that is hidden in the Zone of Avoidance is essential to our quest for the understanding of the dynamics of the nearby universe. Dedicated and sophisticated observations of the Zone of Avoidance have to be matched by equally sophisticated theoretical tools for the reconstruction of the large-scale structure from sparse, noisy and very incomplete data. A general approach for the estimation of cosmological parameters and the reconstruction of the density and velocity fields is presented here, based on maximum likelihood analysis, Wiener filtering and constrained realizations. Radial velocity surveys and the IRAS 1.2 Jy redshift survey are used to reconstruct the Zone of Avoidance.

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arXiv2000

Formation of cuspy density profiles - a generic feature of collisionless gravitational collapse

Using the formalism of the spherical infall model the structure of collapsed and virialized dark halos is calculated for a variety of scale-free initial conditions. In spite of the scale-free cosmological nature of the problem, the collapse of individual objects is not self-similar. Unlike most of previous calculations the dynamics used here relies only on adiabatic invariants and not on self-similarity. The paper focuses on the structure of the innermost part of the collapsed halos and addresses the problem of central density cusps. The slopes of density profiles at 1% of virial radius are calculated for a variety of cosmological models and are found to vary with the mass of the halos and power spectrum of the initial conditions. The inner slopes range between r^-2.3 and r^-2 with the limiting case of r^-2 reached for the largest masses. The steep cusps found here correspond to the limiting case where all particles move on radial orbits. The introduction of angular momentum will make the density profile shallower. We expect this to resolve the discrepancy found between the calculated profiles and the ones found in high resolution N-body simulations, where the exponent ranges from -0.5 to -1.5. The robust prediction here is that collisionless gravitational collapse in an expanding universe is expected to form density cups and not halos with a core structure.

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arXiv2000

Goodness-of-Fit Analysis of Radial Velocities Surveys

Using eigenmode expansion of the Mark-3 and SFI surveys of cosmological radial velocities a goodness-of-fit analysis is applied on a mode-by-mode basis. This differential analysis complements theBayesian maximum likelihood analysis that finds the most probable model given the data. Analyzing the surveys with their corresponding most likely models from the CMB-like family of models, as well as with the currently popular Lambda-CDM model, reveals a systematic inconsistency of the data with these `best' models. There is a systematic trend of the cumulative chi^2 to increase with the mode number (where the modes are sorted by decreasing order of the eigenvalues). This corresponds to a decrease of the chi^2 with the variance associated with a mode, and hence with its effective scale. It follows that the differential analysis finds that on small (large) scales the global analysis of all the modes `puts' less (more) power than actually required by the data. This observed trend might indicate one of the followings: a. The theoretical model (i.e. power spectrum) or the error model (or both) have an excess of power on large scales; b. Velocity bias; c. The velocity data suffers from still uncorrected systematic errors.

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arXiv1999

Eigenmode Analysis of Radial Velocities

Radial velocity surveys are examined in terms of eigenmode analysis within the framework of CDM-like family of models. Rich surveys such as MARK III and SFI, which consist of more than $10^{3}$ radial velocities, are found to have a few tens of modes that are not noise dominated. Poor surveys, which have only a few tens of radial velocities, are noise dominated across the eigenmode spectrum. In particular, the bulk velocity of such surveys has been found to be dominated by the more noisy modes. The MARK III and SFI are well fitted by a tilted flat CDM model found by a maximum likelihood analysis and a $χ^{2}$ statistics . However, a mode-by-mode inspection shows that a substantial fraction of the modes lie outside the $90% $ confidence level. This implies that although globally the CDM-like family of models seems to be consistent with radial velocity surveys, in detail it does not. This might indicate a need for a revised power spectrum or for some non-trivial biasing scheme.

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