Results 41 to 50 of about 8,297,419 (289)

Sweeping algebraic curves for singular solutions

Journal of Computational and Applied Mathematics, 2010
Many problems give rise to polynomial systems. These systems often have several parameters and we are interested to study how the solutions vary when we change the values for the parameters. Using predictor-corrector methods we track the solution paths. A point along a solution path is critical when the Jacobian matrix is rank deficient.
Piret, Kathy, Verschelde, Jan
openaire   +2 more sources

Algebraic general solutions of algebraic ordinary differential equations [PDF]

Proceedings of the 2005 international symposium on Symbolic and algebraic computation, 2005
In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For a first order autonomous ODE, we give an optimal bound for the degree of its algebraic general solutions and a polynomial-time algorithm to compute an algebraic general solution if it exists.
J. M. Aroca, J. Cano, R. Feng, X. S. Gao
openaire   +1 more source

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

Algebraic solution of a graphene layer in transverse electric and perpendicular magnetic fields [PDF]

Journal of Physics: Condensed Matter, 2007
We present an exact algebraic solution of a single graphene plane in transverse electric and perpendicular magnetic fields. The method presented gives both the eigenvalues and the eigenfunctions of the graphene plane.
N. Peres, E. Castro
semanticscholar   +1 more source

Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules

Advanced Functional Materials, EarlyView.
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang, Max Gießübel, Pankaj Dharpure, Andrea Albert, Vira Niestierkina, Paul Mulvaney, Mukundan Thelakkat, Jürgen Köhler   +7 more
wiley   +1 more source

Backbone Heterojunction Photocatalysts for Efficient Sacrificial Hydrogen Production

Advanced Functional Materials, EarlyView.
Herein, a ‘single‐component’ organic semiconductor photocatalyst is presented in which a molecular donor is bonded to a polymer acceptor. The resultant material demonstrates exceptional photocatalytic activity for hydrogen evolution in aqueous triethylamine with an outstanding external quantum efficiency of 38% at 420 nm.
Richard J. Lyons, Rhys J. Bourhill, Ewan McQueen, Sam D. Harding, Krzysztof Pawlak, Thomas Fellowes, Harry W. Capps, Alexander J. Cowan, Andrew I. Cooper, Adrian M. Gardner, Martijn A. Zwijnenburg, Reiner Sebastian Sprick   +11 more
wiley   +1 more source

Anomalous Spin‐Optical Helical Effect in Ti‐Based Kagome Metal

Advanced Materials, EarlyView.
The kagome lattice hosts diverse correlated quantum states, including elusive loop currents. We report spin‐handedness selective signals in CsTi3Bi5, termed the anomalous spin‐optical helical effect, surpassing conventional spin responses. Arising from light helicity coupled to spin‐orbital correlations, this effect provides a sensitive, indirect probe
Federico Mazzola, Wojciech Brzezicki, Chiara Bigi, Armando Consiglio, Luciano Jacopo D'Onofrio, Maria Teresa Mercaldo, Adam Kłosiński, François Bertran, Patrick Le Fèvre, Oliver J. Clark, Mark T. Edmonds, Manuel Tuniz, Alessandro De Vita, Vincent Polewczyk, Jeppe B. Jacobsen, Henrik Jacobsen, Jill A. Miwa, Justin W. Wells, Anupam Jana, Ivana Vobornik, Jun Fujii, Niccolo Mignani, Narges Tarakameh Samani, Alberto Crepaldi, Giorgio Sangiovanni, Anshu Kataria, Tommaso Morresi, Samuele Sanna, Pietro Bonfá, Brenden R. Ortiz, Ganesh Pokharel, Stephen D. Wilson, Domenico Di Sante, Carmine Ortix, Mario Cuoco   +34 more
wiley   +1 more source

Configurations of quadratic systems possessing three distinct infinite singularities and one or more invariant parabolas

Electronic Journal of Qualitative Theory of Differential Equations
Denote by $\textbf{QS}$ the class of all non-degenerate planar quadratic differential systems and by $\textbf{QSP}$ the subclass of $\textbf{QS}$ of all systems possessing at least one invariant parabola.
Regilene Oliveira, Alex Rezende, Dana Schlomiuk, Nicolae Vulpe   +3 more
doaj   +1 more source

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

Advanced Materials, EarlyView.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen, Dongsheng Song, Filipp N. Rybakov, Nikolai S. Kiselev, Long Li, Wen Shi, Rui Wu, Xuewen Fu, Olle Eriksson, Stefan Blügel, Rafal E. Dunin‐Borkowski, Haifeng Du, Fengshan Zheng   +12 more
wiley   +1 more source

Ultrafast Photocatalytic Wettability Switching in Substrate‐Interface Tailored Titanium Dioxide Thin Films

Advanced Materials Interfaces, EarlyView.
This study demonstrates ultrafast photocatalytic wettability switching in TiO2 thin films by tailoring substrate doping and interface oxides. Enhanced switching rates and hemiwicking effects are achieved through optimized material stacks and nanostructuring.
Rucha A. Deshpande, Jesper Navne, David C. B. Nielsen, Mathias Adelmark, Radu Malureanu, Ole Hansen, Rafael Taboryski   +6 more
wiley   +1 more source