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The bispectrum, the three-point function of density fluctuations in Fourier space, is the lowest order statistic that carries information about the spatial coherence of large-scale structures. For Gaussian initial conditions, when the…

The power spectral density of an observable quantifies the amount of fluctuations at a given frequency and can reveal the influence of different timescales on the observable's dynamics. Here, we show that the spectral density in a…

Statistical Mechanics · Physics 2023-06-02 Andreas Dechant

Motivated by the various examples of spatial variability in the power of the acoustic spectrum, we attempted to look for spatial variability in the peak frequency of the spectrum. However, the determination of this peak frequency on a…

Astrophysics · Physics 2015-06-24 P. Venkatakrishnan , Brajesh Kumar , S. C. Tripathy

The Boson peak (BP), an excess of vibrational density of states, is ubiquitous for amorphous materials and is believed to hold the key to understanding the dynamics of glass and glass transition. Previous studies have established an energy…

Materials Science · Physics 2023-11-08 X. Y. Li , H. P. Zhang , S. Lan , D. L. Abernathy , C. H. Hu , L. R. Fan , M. Z. Li , X. -L. Wang

We study the classical dynamics in a generic first-order quantum phase transition between the U(5) and SU(3) limits of the interacting boson model. The dynamics is chaotic, of H\'enon-Heiles type, in the spherical phase and is regular, yet…

Nuclear Theory · Physics 2013-04-17 M. Macek , A. Leviatan

A geometric analysis of the $sdg$ interacting boson model is performed. A coherent-state is used in terms of three types of deformation: axial quadrupole ($\beta_2$), axial hexadecapole ($\beta_4$) and triaxial ($\gamma_2$). The…

Nuclear Theory · Physics 2015-05-14 P. Van Isacker , A. Bouldjedri , S. Zerguine

Statistical measures of chaos have long been used in the study of chaotic dynamics in the framework of the interacting boson model. The use of large number of bosons renders additional studies of chaos possible, that can provide a direct…

Nuclear Theory · Physics 2015-11-23 S. Karampagia , Dennis Bonatsos , R. F. Casten

In the study of complex networks (systems), the scaling phenomenon of flow fluctuations refers to a certain power-law between the mean flux (activity) $<F_i>$ of the $i$th node and its variance $\sigma_i$ as $\sigma_i \propto < F_{i} >…

Data Analysis, Statistics and Probability · Physics 2009-05-08 Yudong Chen , Li Li , Yi Zhang , Jianming Hu

During this work, using subtraction renormalization mechanism, zero point quantum fluctuations for bosonic scalar fields in a de-Sitter like background are investigated. By virtue of the observed value for spectral index, $n_s(k)$, for…

General Relativity and Quantum Cosmology · Physics 2016-06-13 Haidar Sheikhahmadi , Ali Aghamohammadi , Khaled Saaidi

In this paper limiting distribution functions of field and density fluctuations are explicitly and rigorously computed for the different phases of the Bose gas. Several Gaussian and non-Gaussian distribution functions are obtained and the…

Mathematical Physics · Physics 2007-05-23 J. Lauwers , A. Verbeure

Blazars exhibit multiwavelength variability, a phenomenon whose underlying mechanisms remain elusive. This study investigates the origin of such variability through leptonic blazar emission simulations, focusing on stochastic fluctuations…

High Energy Astrophysical Phenomena · Physics 2024-09-10 Hannes Thiersen , Michael Zacharias , Markus Böttcher

The degree of chaos in the Interacting Boson Model (IBM-1) is compared with what we call the "dynamical-symmetry content" of the system. The latter is represented by the information entropy of the eigenfunctions with respect to bases…

chao-dyn · Physics 2009-10-31 Pavel Cejnar , Jan Jolie

We explore statistical fluctuations over the ensemble of quantum trajectories in a model of two-dimensional free fermions subject to projective monitoring of local charge across the measurement-induced phase transition. Our observables are…

Quantum Physics · Physics 2026-02-11 Igor Poboiko , Igor V. Gornyi , Alexander D. Mirlin

We investigate the properties of the spectral function A(omega,U) of correlated electrons within the Hubbard model and dynamical mean-field theory. Curves of A(omega,U) vs. omega for different values of the interaction U are found to…

Strongly Correlated Electrons · Physics 2007-06-13 M. Eckstein , M. Kollar , D. Vollhardt

We investigate the origin of the regular features observed in numerical studies of the interacting boson model with random interactions, in particular the dominance of L=0 ground states and the occurrence of vibrational and rotational band…

Nuclear Theory · Physics 2009-11-07 R. Bijker , A. Frank

We study event-by-event dynamical fluctuations of various particle ratios at different energies. We assume that particle production in final state is due to chemical equilibrium processes. We compare results from resonance gas model with…

High Energy Physics - Phenomenology · Physics 2012-07-10 A. Tawfik

Remarkable features have been predicted for the mechanical fluctuations at the bistability transition of a classical oscillator coupled capacitively to a quantum dot [Phys. Rev. Lett. 115, 206802 (2015)]. These results have been obtained in…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Rémi Avriller , B Murr , F. Pistolesi

Entanglement fluctuations associated with Schr\"{o}dinger evolution of wavefunctions offer a unique perspective on various fundamental issues ranging from quantum thermalization to state preparation in quantum devices. Very recently, a…

Quantum Physics · Physics 2024-11-25 Cunzhong Lou , Chushun Tian , Zhixing Zou , Tao Shi , Lih-King Lim

We investigate the broadband turbulent dynamics of attached and separated flows over a Gaussian bump, focusing on the origin of low-frequency coherent structures. The analysis combines time-resolved experimental measurements with…

Statistical fluctuations of the nuclear ground state energies are estimated using shell model calculations in which particles in the valence shells interact through well defined forces, and are coupled to an upper shell governed by random…

Nuclear Theory · Physics 2009-11-11 Victor Velazquez , Jorge G. Hirsch , Alejandro Frank , Jose Barea , Andres P. Zuker