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The subject of this paper is to present a theory for the dynamic radiation force produced by dual-frequency ultrasound beams in lossless and non-dispersive fluids. A formula for the dynamic radiation force exerted on a three-dimensional…

Fluid Dynamics · Physics 2009-11-10 Glauber T. Silva , Shigao Chen , James F. Greenleaf , Mostafa Fatemi

Analytical expressions for the elastic and dynamic form factors (FFs) are derived in the shell model (SM) with a potential well of finite depth. The consideration takes into account the motion of the target-nucleus center of mass (CM).…

Nuclear Theory · Physics 2007-05-23 A. Yu. Korchin , A. V. Shebeko

This study theoretically considers the motion of N identical inelastic particles between two oscillating walls. The particles' average energy increases abruptly at certain critical filling fractions, wherein the system changes into a…

Data Analysis, Statistics and Probability · Physics 2011-01-31 Fei Fang Chung , Sy-Sang Liaw , Wei Chun Chang

The dynamics of inelastic hard spheres is described in terms of the binary collision expansion, yielding the corresponding pseudo-Liouville equation and BBGKY hierarchy for the reduced distribution functions. Based on cluster expansion…

Statistical Mechanics · Physics 2008-02-03 T. P. C. van Noije , M. H. Ernst

We address the problem of predicting the zero-temperature dynamical stability (DS) of a periodic crystal without computing its full phonon band structure. Here we report the evidence that DS can be inferred with good reliability from the…

We compute linear and quadratic static density response functions of three-dimensional Yukawa liquids by applying an external perturbation potential in molecular dynamics simulations. The response functions are also obtained from the…

Plasma Physics · Physics 2015-06-18 P. Magyar , Z. Donko , G. J. Kalman , K. I. Golden

An approach is suggested for treating multiscale fluctuations in macromolecular systems. The emphasis is on the statistical properties of such fluctuations. The approach is illustrated by a macromolecular system with mesoscopic fluctuations…

Chemical Physics · Physics 2012-08-07 V. I. Yukalov , E. P. Yukalova

The diffraction pattern of a single non-periodic compact object, such as a molecule, is continuous and is proportional to the square modulus of the Fourier transform of that object. When arrayed in a crystal, the coherent sum of the…

The Brillouin peak appears in the dynamic structure factor S(q,w), and the dispersion curve is the Brillouin peak frequency as function of q. The theoretical function underlying S(q,w) is the density autocorrelation function F(q,t). A…

Materials Science · Physics 2007-05-23 Duane C. Wallace , Giulia De Lorenzi-Venneri , Eric D. Chisolm

The glassy dynamics of dense active matter have recently become a topic of interest due to their importance in biological processes such as wound healing and tissue development. However, while the liquid-state properties of dense active…

Soft Condensed Matter · Physics 2024-11-13 Masaki Yoshida , Hideyuki Mizuno , Atsushi Ikeda

The volume fluctuations in the steady state reached by a vibrated granular gas of hard particles confined by a movable piston on the top are investigated by means of event driven simulations. Also, a compressibility factor, measuring the…

Statistical Mechanics · Physics 2015-05-18 J. Javier Brey , M. J. Ruiz-Montero

A real-space formalism for density-functional perturbation theory (DFPT) is derived and applied for the computation of harmonic vibrational properties in molecules and solids. The practical implementation using numeric atom-centered…

Materials Science · Physics 2017-03-08 Honghui Shang , Christian Carbogno , Patrick Rinke , Matthias Scheffler

Dynamic density functional theory (DDFT) is a promising approach for predicting the structural evolution of a drying suspension containing one or more types of colloidal particles. The assumed free-energy functional is a key component of…

Soft Condensed Matter · Physics 2022-11-23 Mayukh Kundu , Michael P. Howard

Dynamical zeta functions provide a powerful method to analyze low dimensional dynamical systems when the underlying symbolic dynamics is under control. On the other hand even simple one dimensional maps can show an intricate structure of…

Chaotic Dynamics · Physics 2007-05-23 G. Cristadoro

We study the dynamics of small fluctuations about the uniform state of a crystal moving through a dissipative medium, e.g. a sedimenting colloidal crystal or a moving flux lattice, using a set of continuum equations for the displacement…

Condensed Matter · Physics 2009-10-28 Rangan Lahiri , Sriram Ramaswamy

Plastic deformation mediated by collective dislocation dynamics is investigated in the two-dimensional phase-field crystal model of sheared single crystals. We find that intermittent fluctuations in the dislocation population number…

Materials Science · Physics 2015-01-05 Jens M. Tarp , Luiza Angheluta , Joachim Mathiesen , Nigel Goldenfeld

Vibrational dynamics governs the fundamental properties of molecular crystals, shaping their thermodynamics, mechanics, spectroscopy, and transport phenomena. However desirable, the first-principles calculation of solid-state vibrations,…

Materials Science · Physics 2025-03-25 Lorenzo Soprani , Andrea Giunchi , Marco Bardini , Quintin N. Meier , Gabriele D'Avino

We develop a microscopic theory of dynamic structure factor to describe the Bogoliubov-Anderson-Goldstone phonon mode and its damping rate in a strongly interacting Fermi gas at finite temperature. It is based on a density functional…

Quantum Gases · Physics 2018-07-25 Peng Zou , Hui Hu , Xia-Ji Liu

We present a theoretical investigation of the dynamic density structure factor of a strongly interacting Fermi gas near a Feshbach resonance at finite temperature. The study is based on a gauge invariant linear response theory. The theory…

Quantum Gases · Physics 2018-06-29 Hao Guo , Yan He , Lianyi He

A density functional theory for colloidal dynamics is presented which includes hydrodynamic interactions between the colloidal particles. The theory is applied to the dynamics of colloidal particles in an optical trap which switches…

Soft Condensed Matter · Physics 2009-11-13 M. Rex , H. Loewen