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We study the Coulomb chain where particles are restricted to one dimension and experience three-dimensional Coulomb interactions with their nearest and next-to-nearest neighbours. The distances between consecutive particles are treated as…

概率论 · 数学 2024-04-24 Henrik Ekström

Using extensive molecular dynamics simulations of an equilibrium, glass-forming Lennard-Jones mixture, we characterize in detail the local atomic motions. We show that spatial correlations exist among particles undergoing extremely large…

软凝聚态物质 · 物理学 2009-10-31 C. Donati , S. C. Glotzer , P. H. Poole , W. Kob , S. J. Plimpton

A measure of distance between two clusterings has important applications, including clustering validation and ensemble clustering. Generally, such distance measure provides navigation through the space of possible clusterings. Mostly used…

社会与信息网络 · 计算机科学 2015-09-01 Reihaneh Rabbany , Osmar R. Zaïane

The effect of the cosmological constant on the curvature of light due to an isolated spherical mass is recalculated without using the lens equation and compared to a lensing cluster.

天体物理学 · 物理学 2009-06-23 Thomas Schucker

It is a well-established fact that massive cosmological objects exhibit a ``geometrical bias'' that boosts their spatial correlations with respect to the underlying mass distribution. Although this geometrical bias is a simple function of…

天体物理学 · 物理学 2014-10-13 Evan Scannapieco , Robert J. Thacker

We develop a phenomenological model to predict the clustering of dark matter halos on the light-cone by combining several existing theoretical models. Assuming that the velocity field of halos on large scales is approximated by linear…

天体物理学 · 物理学 2015-06-24 Takashi Hamana , Naoki Yoshida , Yasushi Suto , August E. Evrard

I compare various semi-analytic models for the bias of dark matter halos with halo clustering properties observed in recent numerical simulations. The best fitting model is one based on the collapse of ellipsoidal perturbations proposed by…

天体物理学 · 物理学 2016-08-30 James Robinson

Properly estimating correlations between objects at different spatial scales necessitates $\mathcal{O}(n^2)$ distance calculations. For this reason, most widely adopted packages for estimating correlations use clustering algorithms to…

Singular Spectrum Analysis and many other subspace-based methods of signal processing are implicitly relying on the assumption of close proximity of unperturbed and perturbed signal subspaces extracted by the Singular Value Decomposition of…

数值分析 · 数学 2010-06-16 Vladimir Nekrutkin

We study the expansion of the universe at late times in the case that the cosmological constant obeys certain scaling laws motivated by renormalisation group running in quantum theories. The renormalisation scale is identified with the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Florian Bauer

Two colour photometry of the cluster A1689 reveals a `relative magnification-bias' between lensed blue and red background galaxies, arising from a dependence of the faint galaxy count-slope on colour. The colour distribution is skewed…

天体物理学 · 物理学 2007-05-23 Tom Broadhurst

We use a confocal microscope to examine the motion of individual particles in a dense colloidal suspension. Close to the glass transition, particle motion is strongly spatially correlated. The correlations decay exponentially with particle…

无序系统与神经网络 · 物理学 2007-08-09 Eric R. Weeks , John C. Crocker , David A. Weitz

We obtained the analog of the Luttinger relation for a commensurate spin-density-wave state. We show that while the relation between the area of the occupied states and the density of particles gets modified in a simple and predictable way…

强关联电子 · 物理学 2009-10-30 B. L. Altshuler , A. V. Chubukov , A. Dashevskii , A. M. Finkel'stein , D. K. Morr

We investigate the dependence of galaxy clustering at $z \sim 4 - 7$ on UV-luminosity and stellar mass. Our sample consists of $\sim$ 10,000 Lyman-break galaxies (LBGs) in the XDF and CANDELS fields. As part of our analysis, the $M_\star -…

The line-of-sight velocity dispersion profile of galaxy clusters exhibits a "kink" corresponding to the spatial extent of orbiting galaxies. Because the spatial extent of a cluster is correlated with the amplitude of the velocity dispersion…

宇宙学与河外天体物理 · 物理学 2021-04-21 Erika L. Wagoner , Eduardo Rozo , Han Aung , Daisuke Nagai

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

统计力学 · 物理学 2015-05-13 Apoorva Nagar , Mustansir Barma

Global physical properties of random media change qualitatively at a percolation threshold, where isolated clusters merge to form one infinite connected component. The precise knowledge of percolation thresholds is thus of paramount…

统计力学 · 物理学 2008-01-13 Richard A. Neher , Klaus Mecke , Herbert Wagner

Nuclear systems are treated within a quantum statistical approach. Correlations and cluster formation are relevant for the properties of warm dense matter, but the description is challenging and different approximations are discussed. The…

核理论 · 物理学 2017-03-21 G. Röpke

We study percolation and the random cluster model on the triangular lattice with 3-body interactions. Starting with percolation, we generalize the star--triangle transformation: We introduce a new parameter (the 3-body term) and identify…

统计力学 · 物理学 2009-11-11 L. Chayes , H. K. Lei

Motivated by the significant overdensity of background bright quasars recently detected behind the foreground clusters of galaxies on scale of $10$ arcminutes, we have investigated the possibility of attributing the quasar-cluster…

天体物理学 · 物理学 2009-10-28 Xiang-Ping Wu , Li-Zhi Fang