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Gaussian macroscopic fluctuation theory underpins the understanding of noise in a broad class of nonequilibrium systems. We derive exact fluctuation-response relations linking the power spectral density of stationary fluctuations to the…

Statistical Mechanics · Physics 2026-02-11 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

Assuming a LCDM universe in a single-field inflationary scenario, we compute the three-point correlation function of the observed matter density fluctuation in the squeezed triangular configuration, accounting for all the relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-25 Jaiyul Yoo , Nastassia Grimm , Ermis Mitsou

In order to investigate whether galaxy structures are compatible with the predictions of the standard LCDM cosmology, we focus here on the analysis of several simple and basic statistical properties of the galaxy density field. Namely, we…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-31 Francesco Sylos Labini

Based on thermodynamics, we study the galactic clustering of an expanding Universe by considering the logarithmic and volume (quantum) corrections to Newton's law along with the repulsive effect of a harmonic force induced by the…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Sudhaker Upadhyay

We study coarse-grained density fluctuations in the disordered phase of the paradigmatic Vicsek-like models of self-propelled particles with alignment interactions and random self-propulsion velocities. By numerically integrating a…

Statistical Mechanics · Physics 2019-05-20 Subhadip Chakraborti , Punyabrata Pradhan

A recent theorem giving the initial behavior of very short-time fluctuations of particle displacements in classical many-body systems is discussed. It has applications to equilibrium and non-equilibrium systems, one of which is a series…

Statistical Mechanics · Physics 2007-07-31 Ramses van Zon , S. S. Ashwin , E. G. D. Cohen

In a mean-field approximation within Kinetic Field Theory, it is possible to derive an accurate analytic expression for the power spectrum of present-day non-linear cosmic density fluctuations. It depends on the theory of gravity and the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-13 Alexander Oestreicher , Harshda Saxena , Niklas Reinhardt , Elena Kozlikin , Johannes Dombrowski , Matthias Bartelmann

The quantum dynamics of correlated fermionic or bosonic many-body systems following external excitation can be successfully studied using nonequilibrium Green functions (NEGF) or reduced density matrix methods. Approximations are introduced…

Strongly Correlated Electrons · Physics 2023-12-27 Erik Schroedter , Björn Jakob Wurst , Jan-Philip Joost , Michael Bonitz

The simplest flavor of the Effective Field Theory of Large Scale Structure is based on Newtonian equations and describes the nonlinear matter density and velocity using Einstein-de-Sitter kernels. Even in the presence of massive neutrinos,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-07 Christian Fidler , Julien Lesgourgues , Antonia Mattes , Azadeh Moradinezhad Dizgah , Simon Neuland

The Jeans analysis is studied in the first post-Newtonian limit. In other words, the relativistic effects on the local gravitational instability are considered for systems where characteristic velocity of the system and corresponding…

High Energy Astrophysical Phenomena · Physics 2017-05-17 Elham Nazari , Ali Kazemi , Mahmood Roshan , Shahram Abbassi

In the last years there has been a growing interest in the understanding a vast variety of scale invariant and critical phenomena occurring in nature. Experiments and observations indeed suggest that many physical systems develop…

Astrophysics · Physics 2019-08-17 L. Pietronero , F. Sylos Labini , M. Montuori

It is demonstrated, by numerical simulations of a 2D assembly of polydisperse disks, that there exists a range (plateau) of coarse graining scales for which the stress tensor field in a granular solid is nearly resolution independent,…

Statistical Mechanics · Physics 2007-05-23 C. Goldenberg , A. P. F. Atman , P. Claudin , G. Combe , I. Goldhirsch

Nobel Prize laureate P.J.E. Peebles [24] has emphasized the importance and difficulties of studying the large scale clustering of matter in cosmology. Nonlinear gravitational instability plays a central role in understanding the clustering…

Mathematical Physics · Physics 2023-05-23 Chao Liu

Velocity fluctuations of grains flowing down a rough inclined plane are experimentally studied. The grains at the free surface exhibit fluctuating motions, which are correlated over few grains diameters. The characteristic correlation…

Other Condensed Matter · Physics 2009-11-11 Olivier Pouliquen

Using hydrodynamic simulations we investigate the time evolution and fragmentation of regions within molecular clouds which have lost their turbulent support leading to gravitational contraction. The initial density distributions are…

Astrophysics · Physics 2009-10-31 Ralf Klessen , Andreas Burkert

We raise the hypothesis that the density fluctuations field which originates the growth of large scale structures is a combination of two or more distributions. By applying the statistical analysis of finite mixture distributions to a…

Astrophysics · Physics 2009-10-31 A. L. B. Ribeiro , C. A. Wuensche , P. S. Letelier

Galaxy bias, the unknown relationship between the clustering of galaxies and the underlying dark matter density field is a major hurdle for cosmological inference from large-scale structure. While traditional analyses focus on the absolute…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-03 Nico Hamaus , Benjamin D. Wandelt , P. M. Sutter , Guilhem Lavaux , Michael S. Warren

Using numerical simulations, we investigate the large-scale gravitational clustering in a flat universe dominated by cold plus hot dark matter (i.e., $\Omega_0=\ocdm+\ohdm+\obaryon=1$). Primordial density fluctuation spectrum is taken to…

Astrophysics · Physics 2010-12-09 Y. P. Jing , H. J. Mo , G. Boerner , L. Z. Fang

Primordial fluctuations in the cosmic density are usually assumed to take the form of a Gaussian random field that evolves under the action of gravitational instability. In the early stages, while they have low amplitude, the fluctuations…

Astrophysics · Physics 2009-11-07 Peter Watts , Peter Coles

The morphological nature of structures that form under gravitational instability has been of central interest to cosmology for over two decades. A remarkable feature of large scale structures in the Universe is that they occupy a relatively…

Astrophysics · Physics 2009-10-28 B. S. Sathyaprakash , V. Sahni , S. F. Shandarin