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Topological invariants play a key role in the characterization of topological states. Due to the existence of exceptional points, it is a great challenge to detect topological invariants in non-Hermitian systems. We put forward a dynamic…

Quantum Physics · Physics 2020-04-22 Bo Zhu , Yongguan Ke , Honghua Zhong , Chaohong Lee

The Parker Solar Probe mission provides a unique opportunity to characterize several features of the solar wind at different heliocentric distances. Recent findings have shown a transition in the inertial range spectral and scaling…

Solar and Stellar Astrophysics · Physics 2022-11-30 Tommaso Alberti , Simone Benella , Giuseppe Consolini , Mirko Stumpo , Roberto Benzi

I give a short review of the theory of twisted symmetries of differential equations, emphasizing geometrical aspects. Some open problems are also mentioned.

Mathematical Physics · Physics 2018-05-29 Giuseppe Gaeta

We examine the problem of the dynamics of interfaces in a one-dimensional space-time discrete dynamical system. Two different regimes are studied : the non-propagating and the propagating one. In the first case, after proving the existence…

chao-dyn · Physics 2009-10-22 B. Fernandez

We present synthetic line profiles as predicted by the models of 2-D line- driven disk winds due to Proga, Stone & Drew. We compare the model line profiles with HST observations of the cataclysmic variable IX Vel. The model wind consists of…

Astrophysics · Physics 2009-11-07 D. Proga , T. R. Kallman , J. E. Drew , L. E. Hartley

Physical processes that manifest as tangential vector fields on a sphere are common in geophysical and environmental sciences. These naturally occurring vector fields are often subject to physical constraints, such as being curl-free or…

Methodology · Statistics 2016-12-26 Minjie Fan , Debashis Paul , Thomas C. M. Lee , Tomoko Matsuo

In this paper we give a brief overview of the geometry of involute gears, from a mathematical more than an engineering perspective. We also list some of the many variant geared mechanisms and discuss some of our 3D printed mechanisms.

History and Overview · Mathematics 2023-01-02 Elisabetta A. Matsumoto , Henry Segerman

A dynamical system with discrete time is studied by means of algebraic geometry. The system admits a reduction that is interpreted as a classical field theory in 2+1-dimensional wholly discrete space-time. The integrals of motion of a…

High Energy Physics - Theory · Physics 2007-05-23 I. G. Korepanov

Observations in the solar wind suggest that the compressive component of inertial-range solar-wind turbulence is dominated by slow modes. The low collisionality of the solar wind allows for non-thermal features to survive, which suggests…

Space Physics · Physics 2017-05-19 Daniel Verscharen , Christopher H. K. Chen , Robert T. Wicks

We explore new aspects of internal fermionic shifting symmetries, present in physical systems such as free Dirac spinors and p-form tensor-spinor fields. We propose a novel procedure to gauge these global symmetries, which also introduces a…

High Energy Physics - Theory · Physics 2024-11-07 Federico Ambrosino , Ran Luo , Yi-Nan Wang , Yi Zhang

Two examples of the use of differential geometry in plasma physics are given: The first is the computation and solution of the constraint equations obtained from the Riemann metric isometry of the twisted flux tube. In this case a…

Astrophysics · Physics 2007-05-23 Garcia de Andrade

Classical actuator disk theory, developed more than a century ago, provides an idealised description of turbine rotor performance. It treats a rotor as an infinitesimally-thin permeable disk and applies the governing flow equations over a…

Fluid Dynamics · Physics 2026-03-26 Majid Bastankhah , Peter E. Hydon , Carl Shapiro , Dennice F. Gayme , Charles Meneveau

We uncover a geometric organization of the differential equations for the wavefunction coefficients of conformally coupled scalars in power-law cosmologies. To do this, we introduce a basis of functions inspired by a decomposition of the…

High Energy Physics - Theory · Physics 2025-04-23 Daniel Baumann , Harry Goodhew , Austin Joyce , Hayden Lee , Guilherme L. Pimentel , Tom Westerdijk

Consider briefly the equations of fluid dynamics-they describe the enormous wealth of detail in all the interacting physical elements of a fluid flow-whereas in applications we want to deal with a description of just that which is…

chao-dyn · Physics 2016-08-31 A. J. Roberts

Using a method for stochastic data analysis, borrowed from statistical physics, we analyze synthetic data from a Markov chain model that reproduces measurements of wind speed and power production in a wind park in Portugal. We first show…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Frank Raischel , Teresa Scholz , Vitor V. Lopes , Pedro G. Lind

A quasar wind model is proposed to describe the spatial and velocity structure of the broad line region. This model requires detailed photoionization and magnetohydrodynamic simulation, as the broad line region it too small for direct…

Astrophysics · Physics 2008-09-17 Andrea Ruff

Recently, the theory concerning piecewise smooth vector fields (PSVFs for short) have been undergoing important improvements. In fact, many results obtained do not have an analogous for smooth vector fields. For example, the chaoticity of…

Dynamical Systems · Mathematics 2021-12-07 Andre Amaral Antunes , Tiago Carvalho

An analytic model is proposed for non-radiating accretion flows accompanied by up or down winds in a global magnetic field. Physical quantities in this model solution are written in variable-separated forms, and their radial parts are…

Astrophysics · Physics 2009-11-07 Osamu Kaburaki

Nonlinear acoustics of wind instruments conducts to study unidimensional fluid flows. From physically relevant approximations that are modelized with the thin layer Navier Stokes equations, we propose a coupled model where perfect fluid…

Numerical Analysis · Mathematics 2010-06-16 Régis Msallam , François Dubois

This work explores the relationship between wind speed and time-dependent structural motion response as a means of leveraging the rich information visible in flow-structure interactions for anemometry. We build on recent work by Cardona et…

Fluid Dynamics · Physics 2021-07-22 Jennifer L. Cardona , John O. Dabiri