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The spectral function of density fluctuations, also known as the dynamic structure factor, of a monatomic cubic crystal with vacancies is derived from the macroscopic equations describing transport in crystalline solids. The resonances of…

Statistical Mechanics · Physics 2025-11-13 Arsene Yerle , Pierre Gaspard , Joel Mabillard

On the basis of a moment method, general solutions of a linearized Boltzmann equation for a normal Fermi system are investigated. In particular, we study the sound velocities and damping rates as functions of the temperature and the…

Quantum Gases · Physics 2010-10-05 Shohei Watabe , Aiko Osawa , Tetsuro Nikuni

Dynamic structure factor (DSF) is important for understanding excitations in many-body physics; it reveals information about the spectral and spatial correlations of fluctuations in quantum systems. Collective phenomena like quantum phase…

Quantum Gases · Physics 2025-06-12 Subhanka Mal , Anushree Dey , Kingshuk Adikary , Bimalendu Deb

We extend the classical magnetohydrodynamics formalism to include nonlocal quantum behavior via the phenomenological Bohm potential. We then solve the quantum magnetohydrodynamics equations to obtain a new analytical form of the dynamic…

Plasma Physics · Physics 2025-05-07 Tushar Mondal , Gianluca Gregori

We develop a numerical method to study the dynamics of a two-component atomic Fermi gas trapped inside a harmonic potential at temperature T well below the Fermi temperature Tf. We examine the transition from the collisionless to the…

Statistical Mechanics · Physics 2009-11-07 F. Toschi , P. Vignolo , S. Succi , M. P. Tosi

The zero-temperature properties of a dilute two-component Fermi gas in the BCS-BEC crossover are investigated. On the basis of a generalization of the variational Schwinger method, we construct approximate semi-analytical formulae for…

Statistical Mechanics · Physics 2016-08-31 Yeong E. Kim , Alexander L. Zubarev

The dynamical structure factor of a Coulomb crystal of ions is calculated at arbitrary temperature below the melting point taking into account multi-phonon processes in the harmonic approximation. In a strongly coupled Coulomb ion liquid,…

Plasma Physics · Physics 2007-05-23 D. A. Baiko , A. D. Kaminker , A. Y. Potekhin , D. G. Yakovlev

We investigate the dynamic structure factor of a system of Bose particles at zero temperature using quantum Monte Carlo methods. Interactions are modeled using a hard-sphere potential of size $a$ and simulations are performed for values of…

Quantum Gases · Physics 2015-06-17 Riccardo Rota , Filippo Tramonto , Davide Emilio Galli , Stefano Giorgini

We study the spectral width as a function of the external momentum for the dynamical structure factor of a disordered harmonic solid, considered as a toy model for supercooled liquids and glasses. Both in the context of single-link coherent…

Condensed Matter · Physics 2016-08-15 V. Martín-Mayor , G. Parisi , P. Verrocchio

We theoretically investigate the static structure factor of an interacting Fermi gas near the BEC-BCS crossover at large momenta. Due to short-range two-body interactions, we predict that the structure factor of unlike spin correlations…

Quantum Gases · Physics 2010-08-25 Hui Hu , Xia-Ji Liu , Peter D. Drummond

Based on random phase approximation (RPA), we numerically calculate dynamical structure factors of a balanced two-dimensional (2D) Fermi superfluid, and discuss their energy, momentum and interaction strength dependence in the 2D BEC-BCS…

Quantum Gases · Physics 2020-08-05 Huaisong Zhao , Xiaoxu Gao , Wen Liang , Peng Zou , Feng Yuan

Velocity and density structure factors are measured over a hydrodynamic range of scales in a horizontal quasi-2d fluidized granular experiment, with packing fractions $\phi\in[10%,40%]$. The fluidization is realized by vertically vibrating…

Soft Condensed Matter · Physics 2015-06-03 A. Puglisi , A. Gnoli , G. Gradenigo , A. Sarracino , D. Villamaina

An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over…

Quantum Gases · Physics 2025-08-26 Panagiotis Tolias , Tobias Dornheim , Jan Vorberger

Correlation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used to work in a fermionic representation with a pseudopotential…

Statistical Mechanics · Physics 2007-05-23 Alexander Yu. Cherny , Joachim Brand

We investigate collective excitations of density fluctuations and a dynamic density structure factor in a mixture of Bose and Fermi gases in a normal phase. With decreasing temperature, we find that the frequency of the collective…

Quantum Gases · Physics 2019-05-07 Y. Asano , M. Narushima , S. Watabe , T. Nikuni

We theoretically calculate the density dynamic structure factor of one-dimensional Fermi superfluid with Raman-type spin-orbit coupling, and analyze its main dynamical character during phase transition between Bardeen-Cooper-Schrieffer…

Quantum Gases · Physics 2023-01-18 Zheng Gao , Lianyi He , Huaisong Zhao , Shi-Guo Peng , Peng Zou

We discuss Bragg scattering on both Bose and Fermi gases with strong short-range interactions in the deep inelastic regime of large wave vector transfer $q$, where the dynamic structure factor is dominated by a resonance near the…

Quantum Gases · Physics 2017-03-07 Johannes Hofmann , Wilhelm Zwerger

We calculate the dynamic structure factor S (omega, q) of spinless fermions in one dimension with quadratic energy dispersion k^2/2m and long range density-density interaction whose Fourier transform f_q is dominated by small…

Strongly Correlated Electrons · Physics 2008-08-15 Peyman Pirooznia , Florian Schuetz , Peter Kopietz

The zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-function interaction (Lieb-Liniger model) is computed using a hybrid theoretical/numerical method based on the exact Bethe Ansatz solution, which…

Statistical Mechanics · Physics 2009-11-11 J. -S. Caux , P. Calabrese

We theoretically investigate dynamic structure factors of a strongly interacting Fermi superfluid near an orbital Feshbach resonance with random phase approximation, and find their dynamical characters during the phase transition between a…

Quantum Gases · Physics 2021-05-11 Peng Zou , Huaisong Zhao , Lianyi He , Xia-Ji Liu , Hui Hu