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The particle diffusion in a fluid is a classical topic that dates back to more than one century ago. However, a full solution to this issue still lacks. In this work the velocity autocorrelation function and the diffusion constant are…

Fluid Dynamics · Physics 2016-08-03 Hanqing Zhao , Hong Zhao

The model is a particular case of causal set. This is a discrete model of spacetime in a microscopic level. In paper the most general properties of the model are investigated without any reference to a dynamics. The dynamics of the model is…

General Relativity and Quantum Cosmology · Physics 2010-09-01 Alexey L. Krugly

The first part of the paper is devoted to the foundations, that is the mathematical and physical justification, of equilibrium statistical mechanics. It is a pedagogical attempt, mostly based on Khinchin's presentation, which purpose is to…

Statistical Mechanics · Physics 2007-05-23 Dragi Karevski

The aim of this text is to provide a linguistically accessible, but comprehensive introduction into a variety of topics in dynamical systems and its applications. Whilst preliminary knowledge of dynamical systems is useful, it is not…

Dynamical Systems · Mathematics 2026-01-09 Eugene Tan , David Walker , Michael Small , Braden Thorne

Much of astrophysics consists of the study of ionised gas under the influence of gravitational and magnetic fields. Thus, it is not possible to understand the astrophysical universe without a detailed knowledge of the dynamics of magnetised…

High Energy Astrophysical Phenomena · Physics 2016-05-25 Steven A. Balbus , WIlliam J. Potter

Quantum mechanics, one of the most successful theories in the history of science, was created to account for physical systems not describable by classical physics. Though it is consistent with all experiments conducted thus far, many of its…

Quantum Physics · Physics 2016-02-17 Gary Oas , J. Acacio de Barros

Recently, aerodynamics syllabi have changed in high schools, pilot ground training, and even undergraduate physics. In contrast, there has been no change in the basic theory taught to aeronautical or aerospace engineers. What has changed is…

Physics Education · Physics 2021-10-05 Graham Wild

Astrophysical models developed to explain superluminal motion in beaming phenomena are shown to be incomplete and the correct kinematical expression in any case to predict projected velocities slower than the speed of light. The observed…

General Physics · Physics 2007-05-23 Ernst Karl Kunst

The propulsion of a flapping wing or foil is emblematic of bird flight and fish swimming. Previous studies have identified hallmarks of the propulsive dynamics that have been attributed to unsteady effects such as the formation and shedding…

Fluid Dynamics · Physics 2026-04-07 Olivia Pomerenk , Leif Ristroph

We report on a new methodological approach to electrodynamics based on a fluidic viewpoint. We develop a systematic approach establishing analogies between physical magnitudes and isomorphism (structure-preserving mappings) between systems…

Fluid Dynamics · Physics 2009-10-17 Alexandre A. Martins , Mario J. Pinheiro

Helped by the careful analysis of their experimental data, Worthington (1897) described roughly the mechanism underlying the formation of high-speed jets ejected after the impact of an axisymmetric solid on a liquid-air interface. In this…

Fluid Dynamics · Physics 2015-05-13 Stephan Gekle , J. M. Gordillo

Bouncing jets are fascinating phenomenons occurring under certain conditions when a jet impinges on a free surface. This effect is observed when the fluid is Newtonian and the jet falls in a bath undergoing a solid motion. It occurs also…

Numerical Analysis · Mathematics 2015-09-01 Andrea Bonito , Jean-Luc Guermond , Sanghyun Lee

Here I introduce the model in an attempt to describe the underlying reasons of attraction and repulsion forces between two physical bodies. Both electrical and gravitational forces are considered. Results are based on the technique…

General Physics · Physics 2007-05-23 Alexei Krouglov

The field of fluid mechanics is rapidly advancing, driven by unprecedented volumes of data from field measurements, experiments and large-scale simulations at multiple spatiotemporal scales. Machine learning offers a wealth of techniques to…

Fluid Dynamics · Physics 2020-02-19 Steven Brunton , Bernd Noack , Petros Koumoutsakos

This study deals with the process and benefits of generating aerodynamic indicial-admittance functions with the support of computational fluid dynamics based on the Euler equations. A simple parametric analytical approximation is alongside…

Fluid Dynamics · Physics 2020-01-22 Marcello Righi , Marco berci

This study proposes a new fundamental formula that describes in a more coherent way, the rise and fall of liquids in capillaries. The variation of the contact angle classically associated with these phenomena appears to be the indirect…

Soft Condensed Matter · Physics 2024-12-11 Noureddine Djama

Aerodynamic force and flow structures of two airfoils in tandem configuration performing flapping motions are studied, using the method of solving the Navier-Stokes equations in moving overset grids. Three typical phase differences between…

Fluid Dynamics · Physics 2007-05-23 Shi Long Lan , Mao Sun

This expository review is devoted to fish swimming and bird/insect flight. (i) The simple waving motion of an elongated flexible ribbon plate of constant width, immersed in a fluid at rest, propagating a wave distally down the plate to swim…

Mathematical Physics · Physics 2010-07-30 Theodore Yaotsu Wu

Despite substantial growth in wind energy technology in recent decades, aerodynamic modeling of wind turbines relies on momentum models derived in the late 19th and early 20th centuries, which are well-known to break down under flow regimes…

Fluid Dynamics · Physics 2024-01-19 Jaime Liew , Kirby S. Heck , Michael F. Howland

Dense suspensions of particles are relevant to many applications and are a key platform for developing a fundamental physics of out-of-equilibrium systems. They present challenging flow properties, apparently turning from liquid to solid…

Soft Condensed Matter · Physics 2022-03-22 Christopher Ness , Ryohei Seto , Romain Mari
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