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For a given statistic, A, the cosmic distribution function, Upsilon(VA), is the probability of measuring a value VA in a finite galaxy catalog. For statistics related to count-in-cells, such as factorial moments, F_k, the average…

天体物理学 · 物理学 2007-05-23 S. Colombi , I. Szapudi , the VIRGO consortium

Based on the well-known Detrended Fluctuation Analysis (DFA) for time series, in this work we describe a DFA for continuous real variable functions. Under certain conditions, DFA accurately predicts the long-term auto-correlation of the…

混沌动力学 · 物理学 2023-04-11 Luis Gil-Maqueda , Benjamín A. Itzá-Ortiz

Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power-law form for power spectra of temporal fluctuations of all scales ranging…

综合物理 · 物理学 2007-05-23 A. M. Selvam , S. Fadnavis

We extend a previous analysis concerning cosmological fluids with generalized equations of state in order to study inflationary scenarios. In the framework of the slow-roll approximation we find the expressions for the perturbation…

天体物理学 · 物理学 2009-10-28 G. Mangano , G. Miele , C. Stornaiolo

We implement an adaptation of the COLA approach, a hybrid scheme that combines Lagrangian perturbation theory with an N-body approach, to model non-linear collapse in chameleon and symmetron modified gravity models. Gravitational screening…

宇宙学与河外天体物理 · 物理学 2017-05-30 Georgios Valogiannis , Rachel Bean

We scrutinize the accuracy of the pseudopotential approximation in density-functional theory (DFT) calculations of surfaces by systematically comparing to results obtained within a full-potential setup. As model system we choose the CO…

材料科学 · 物理学 2007-05-23 Adam Kiejna , Georg Kresse , Jutta Rogal , Abir De Sarkar , Karsten Reuter , Matthias Scheffler

We focus on the dynamics of a Brownian particle whose mass fluctuates. First we show that the behaviour is similar to that of a Brownian particle moving in a fluctuating medium, as studied by Beck [Phys. Rev. Lett. 87 (2001) 180601]. By…

统计力学 · 物理学 2007-06-13 R. Lambiotte , M. Ausloos

Flow matching (FM) is increasingly used in scientific domains for time series generation and forecasting, where data often arise from underlying dynamical systems. However, it is not well-understood whether it learns transferable dynamical…

机器学习 · 统计学 2026-05-08 Soon Hoe Lim , Shizheng Lin , Michael W. Mahoney , N. Benjamin Erichson

We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we…

材料科学 · 物理学 2010-12-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We apply density functional theory to study the freezing of superfluid {$^{4}\rm{He}$}, charged bosons and charged fermions at zero temperature. We employ accurate Quantum Monte Carlo data for the linear response function in the uniform…

凝聚态物理 · 物理学 2009-10-28 C. N. Likos , Saverio Moroni , Gaetano Senatore

The proximity force approximation (PFA) has been widely used as a tool to evaluate the Casimir force between smooth objects at small distances. In spite of being intuitively easy to grasp, it is generally believed to be an uncontrolled…

高能物理 - 理论 · 物理学 2018-07-19 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

This year marks the 100th anniversary of the birth of Yakov Zel'dovich. Amongst his many legacies is the Zel'dovich approximation for the growth of large-scale structure, which remains one of the most successful and insightful analytic…

宇宙学与河外天体物理 · 物理学 2015-06-18 Martin White

We investigate the problem of metric fluctuations in the presence of the vacuum fluctuations of matter fields and critically assess the usual assertion that vacuum energy implies a Planckian cosmological constant. A new stochastic classical…

广义相对论与量子宇宙学 · 物理学 2008-06-19 Charles H. -T. Wang , Paolo M. Bonifacio , Robert Bingham , J. Tito Mendonca

A linear dynamical model for the development of the turbulent energy cascade was introduced in Apolin\'ario \emph{et al} (J. Stat. Phys. \textbf{186}, 15 (2022)). This partial differential equation, randomly stirred by a forcing term which…

流体动力学 · 物理学 2022-04-26 Gabriel B. Apolinário , Laurent Chevillard

We present a metric-space approach to quantify the performance of density-functional approximations for interacting many-body systems and to explore the validity of the Hohenberg-Kohn-type theorem on fermionic lattices. This theorem…

量子物理 · 物理学 2018-03-06 V. V. França , J. P. Coe , I. D'Amico

We present simulations of the cluster distribution in several dark matter models, using an optimized version of the truncated Zel'dovich approximation (TZA). We compare them with N-body cluster simulations and find that the TZA provides a…

天体物理学 · 物理学 2015-06-24 S. Borgani , M. Plionis , P. Coles , L. Moscardini

We suggest a new method of calculation of the equilibrium correlation functions of an arbitrary order for the interacting Fermi-gas model in the frame of the static fluctuation approximation (SFA) method. This method based only on the…

强关联电子 · 物理学 2015-05-27 R. R. Nigmatullin , A. A. Khamzin , I. I. Popov

We introduce an extension of the dynamical mean field approximation (DMFA) which retains the causal properties and generality of the DMFA, but allows for systematic inclusion of non-local corrections. Our technique maps the problem to a…

强关联电子 · 物理学 2009-10-31 M. H. Hettler , A. N. Tahvildar-Zadeh , M. Jarrell , T. Pruschke , H. R. Krishnamurthy

We study the quasilinear evolution of the one-point probability density functions (PDFs) of the smoothed density and velocity fields in a cosmological gravitating system beginning with Gaussian initial fluctuations. Our analytic results are…

天体物理学 · 物理学 2009-10-22 Lev Kofman , Edmund Bertschinger , James M. Gelb , Adi Nusser , Avishai Dekel

Velocity dispersion of the massive neutrinos presents a daunting challenge for non-linear cosmological perturbation theory. We consider the neutrino population as a collection of non-linear fluids, each with uniform initial momentum,…

宇宙学与河外天体物理 · 物理学 2023-05-18 Joe Zhiyu Chen , Amol Upadhye , Yvonne Y. Y. Wong