Manzoor A. Malik

Statistical Mechanics of the Cosmological Many-Body Problem. II. Results of Higher Order Contributions

We calculate the irreducible triplet contribution to galaxy clustering in the cosmological many-body problem. These triplets generally represent short-lived configurations in which three close objects interact with pairwise gravitational forces. From the resulting grand canonical partition function, we obtain higher order analytical expressions for thermodynamic quantities such as specific heats, isothermal compressibility, and thermal expansion in the system. Compared with previous analyses, which included reducible but not irreducible triplets, the additional terms are usually small, especially in the limit of large N. This confirms the thermodynamic results. We also derive the modified spatial distribution functions and show that they agree with recent observational results. The inclusion of triplet and higher order irreducible clusters does not significantly modify the results of the reducible terms in the partition function or of its thermodynamic consequences such as the distribution function.

DISTRIBUTION FUNCTION OF GALAXIES FOR TWO-COMPONENT SYSTEMS

We extend the statistical mechanical theory of cosmological many-body problem to a system consisting of two kinds of galaxies with different masses. The general partition function for such a two-component system, in the grand canonical ensemble, is developed. From this partition function various thermodynamical quantities and distribution functions are evaluated. A quantity bm, called the clustering parameter for the two-component system, which inherently takes into account the ratio of the number of particles (galaxies) of each kind and their masses, emerges directly from the calculations. Various clustering phenomena can be explained on the basis of this parameter. We find these results in agreement with the available N-body simulation results as well as the observational distribution function determined from the 2MASS survey. Besides, our distribution function, for the two-component system, makes these comparisons more objective and easily comprehensible.

Joint Planck and WMAP assessment of low CMB multipoles

The remarkable progress in cosmic microwave background (CMB) studies over past decade has led to the era of precision cosmology in striking agreement with the

Extended structure of galaxies and cosmic energy equation

\Lambda

Little evidence for entropy and energy excess beyond r500 – an end to ICM pre-heating?

CDM model. However, the lack of power in the CMB temperature anisotropies at large angular scales (low-

Low-ℓ power suppression in punctuated inflation

\ell

Confronting phantom inflation with Planck data

), as has been confirmed by the recent Planck data also (up to

Active Galactic Nucleus Feedback with the Square Kilometre Array and Implications for Cluster Physics and Cosmology

\ell=40

Optimization of BaZrO3 concentration as secondary phase in superconducting YBa2Cu3O7 for high current applications

), although statistically not very strong (less than

ERRATUM: "STATISTICAL MECHANICS OF GALAXY CLUSTERING FOR A TWO-COMPONENT SYSTEM: EFFECT OF THE EXTENDED NATURE OF GALAXIES"

3\sigma