Geometric algebra in electrical engineering: a comprehensive review of power systems applications [0.03%]
电气工程中的几何代数：电力系统应用的全面回顾
Francisco G Montoya,Alfredo Alcayde,Francisco M Arrabal-Campos
Francisco G Montoya
This review provides a comprehensive overview of the applications of geometric algebra (GA) in electrical engineering, with a particular focus on power systems. The paper covers the fundamental concepts of GA and its advantages over traditi...
Geometric algebra for quadrics-transformations and their efficient implementation [0.03%]
二次曲面的几何代数变换及其有效实现方法研究
Aleš Návrat,Ludvík Procházka,Petr Vašík
Aleš Návrat
This paper describes the geometric algebra for quadrics (GAQ) with a focus on elements representing Euclidean transformations, particularly translations and rotations. We provide general methods of deriving the generators of such transforma...
A Clifford algebra approach to bosonic strings with fermionic boundaries [0.03%]
克利福德代数在玻色子字符串与费米子边界问题中的应用
Andrew Hamilton,Tyler McMaken
Andrew Hamilton
The Brauer-Weyl theorem (Brauer, Weyl. 1935 Am. J. Maths. 57, 425-449. (doi:10.2307/2371218)) states that the algebra of tensor products of spinors is isomorphic to the Clifford (geometric) algebra, in any number of space-time dimensions. T...
Roman Byrtus,Francesco Prinzi,Petr Vasik et al.
Roman Byrtus et al.
Hypercomplex number systems, such as complex numbers and quaternions, have found many uses in the area of signal analysis. Clifford algebras, along with the embedding of (usually) a real vector space, can be used to represent some of the co...
Julian A Estrada,Marc E Brachet,Pablo Mininni
Julian A Estrada
Quantum turbulence shares many similarities with classical turbulence in the isotropic and homogeneous case, despite the inviscid and quantized nature of its vortices. However, when quantum fluids are subjected to rotation, their turbulent ...
Vortex configuration-dependent equilibrium and non-equilibrium states in two-dimensional quantum turbulence [0.03%]
二维量子湍流中涡旋构型依赖的平衡与非平衡态
Shawan Kumar Jha,Makoto Tsubota,Pankaj Mishra
Shawan Kumar Jha
In this work, we analyse the evolution of four vortex configurations, namely, dipole, plasma, cluster and lattice, using the two-dimensional mean-field Gross-Pitaevskii equation, focusing on their dynamical decay and approach to the equilib...
Investigating turbulence in strongly coupled dusty plasma using molecular dynamics simulations [0.03%]
利用分子动力学模拟研究强耦合尘埃等离子体中的湍流现象
Rauoof Wani,Sanat Tiwari,Mahendra Verma
Rauoof Wani
The turbulence dynamics of dusty plasma flows, governed by strong long-range Coulomb interactions between particles, remains inadequately understood. In this paper, we simulate two-dimensional (2D) (KHI) and (RTI) turbulence in dusty plasma...
Alexander Migdal
Alexander Migdal
Strongly nonlinear dynamics, from fluid turbulence to quantum chromodynamics (QCD), has long constituted some of the most challenging problems in theoretical physics. This review describes a unified theoretical framework, the loop space cal...
Alexander Migdal
Alexander Migdal
We derive an analytic solution for the density of a passive scalar in decaying homogeneous turbulence, in the limit of high Reynolds number and fixed Schmidt number. The velocity statistics are described by the Euler ensemble, previously ob...
Akash Rodhiya,Katepalli R Sreenivasan
Akash Rodhiya
The long-time evolution of decaying homogeneous turbulence is a fundamental building block of the theory and modeling of turbulence. We investigate the problem by using a comprehensive suite of direct numerical simulations. The simulations ...