Results 151 to 160 of about 2,825,153 (362)

On the classical geometry of embedded surfaces in terms of Poisson brackets

, 2010
We consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many aspects of their differential geometry can be expressed in terms of a Poisson algebraic structure on the space of smooth functions of the surface.
Arnlind, Joakim, Hoppe, Jens, Huisken, Gerhard   +2 more
core  

An analytical solution of direction evolution of crack growth during progressive failure in brittle rocks

Deep Underground Science and Engineering, EarlyView.
A novel analytical method is proposed to evaluate the shear stress effect on the progressive compressive failure and microcrack growth direction in brittle rocks. The shear stress effect on the wing crack growth direction during the progressive compressive failure is determined. The initial crack angle effect on the y‐direction peak stress and the wing
Xiaozhao Li, Lianjie Li, Fayuan Yan, Chengzhi Qi, Mikhail A. Guzev, Evgenii V. Kozhevnikov, Artem A. Kunitskikh   +6 more
wiley   +1 more source

The CEGM NLSM

Journal of High Energy Physics
Studying quantum field theories through geometric principles has revealed deep connections between physics and mathematics, including the discovery by Cachazo, Early, Guevara and Mizera (CEGM) of a generalization of biadjoint scalar amplitudes.
Nick Early
doaj   +1 more source

Dielectrophoresis Tutorial: Inspired by Hatfield's 1924 Patent and Boltzmann's Theory and Experiments of 1874

ELECTROPHORESIS, EarlyView.
ABSTRACT The first patent to describe dielectrophoresis (DEP) as a means and process to separate particles from a mixture was granted by the US Patent Office to Henry Stafford Hatfield in 1924. The novel methods of sample preparation and designs of electrode geometry covered by the patent's disclosures and claims describe the basis for most present‐day
Ronald Pethig
wiley   +1 more source

Extreme 5-dimensional black holes with SU(2)-symmetric horizons

Journal of High Energy Physics
We show that the near horizon geometry of 5-dimensional extreme (i.e., degenerate) stationary vacuum black holes, with or without cosmological constant, whose event horizons exhibit SU(2) symmetry must be that of a Berger sphere.
Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri, Eric Woolgar   +3 more
doaj   +1 more source

Noncommutative complex differential geometry [PDF]

arXiv, 2012
This paper defines and examines the basic properties of noncommutative analogues of almost complex structures, integrable almost complex structures, holomorphic curvature, cohomology, and holomorphic sheaves. The starting point is a differential structure on a noncommutative algebra defined in terms of a differential graded algebra. This is compared to
arxiv  

eCherry: A Modelica Library for Modular Dynamic Modelling of Electrochemical Reactors

Electrochemical Science Advances, EarlyView.
ABSTRACT Electrochemical reactors offer promising pathways for defossilizing the chemical industry. To understand the operation as well as to evaluate and optimise their performance and efficiency, modelling presents a crucial tool. Currently, no comprehensive open‐source library for dynamic modelling of electrochemical reactors exists, and instead ...
Jan F. Pyschik, Katharina M. Ebeling, Georgia Ioanna Prokopou, Michael J. Rix, J. Raphael Seidenberg, Marius B. Kleiner, Matthias Leitl, Alexander Mitsos, Dominik Bongartz   +8 more
wiley   +1 more source

An outline of shifted Poisson structures and deformation quantisation in derived differential geometry [PDF]

arXiv, 2018
We explain how to translate several recent results in derived algebraic geometry to derived differential geometry. These concern shifted Poisson structures on NQ-manifolds, Lie groupoids, smooth stacks and derived generalisations, and include existence and classification of various deformation quantisations.
arxiv  

Kinetic Mechanism Development for the Direct Reduction of Single Hematite Pellets in H2/CO Atmospheres

steel research international, Volume 93, Issue 12, December 2022., 2022
A generic kinetic model capable of reproducing the iron ore pellet reduction process for a wide range of experimental operating conditions is demonstrated. Experimental backed analysis of the carburization process enlightens the complex reduction process.
Mohammed Liaket Ali, Quentin Fradet, Uwe Riedel   +2 more
wiley   +1 more source

A Subbuteo‐Inspired Rolling Isolation System for Protecting Rigid Blocks

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT This study investigates a Subbuteo‐inspired rolling isolation system (RIS) as an effective means for protecting rigid blocks. The block is assumed to be rigidly connected to a curved base sector, allowing it to roll back and forth freely under dynamic excitations. The intrinsic trait of the proposed isolation concept is that the rigid block is
George C. Tsiatas, Aristotelis E. Charalampakis, Panos Tsopelas   +2 more
wiley   +1 more source