Results 51 to 60 of about 1,227,495 (167)

Lines of vortices for solutions of the Ginzburg–Landau equations [PDF]

, 2008
For disc domains and for periodic models, we construct solutions of the Ginzburg–Landau equations which verify in the limit of a large Ginzburg–Landau parameter specified qualitative properties: the limit density of the vortices concentrates on ...
Aydi, Hassen
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Homogenization of Attractors to Ginzburg-Landau Equations in Media with Locally Periodic Obstacles: Sub- and Supercritical Cases

Қарағанды университетінің хабаршысы. Математика сериясы
The Ginzburg-Landau equation with rapidly oscillating terms in the equation and boundary conditions in a perforated domain was considered. Proof was given that the trajectory attractors of this equation converge weakly to the trajectory attractors of ...
K.A. Бекмаганбетов, Г.А. Чечкин, В.В. Чепыжов, A.А. Толемис   +3 more
doaj   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

New Analytical Solutions of Fractional Complex Ginzburg-Landau Equation

Universal Journal of Mathematics and Applications, 2020
In recent years, nonlinear concepts have attracted a lot of attention due to the deep mathematics and physics they contain. In explaining these concepts, nonlinear differential equations appear as an inevitable tool.
Ali Tozar
doaj   +1 more source

A Polar Topology Network Induces Elastic Stiffening in Ferroelectric Oxide Superlattices

Small, EarlyView.
The periodicity in BiFeO3/SrTiO3 superlattices tunes the system into a dense, elastically constrained polar texture state. This topology‐rich regime reveals a collective mechanical response in which interactions among polar topological defects restrict local deformations, producing a pronounced elastic stiffening.
Mohammad Moein Seyfouri, Peiran Tong, Yoonah Ko, Menghui Xia, Qi Zhang, Zijian Hong, Bin Xu, Seungbum Hong, He Tian, Nagarajan Valanoor, Daniel Sando   +10 more
wiley   +1 more source

Machine Learning‐Assisted Development in Insulating Materials for High Voltage Applications

High Voltage, EarlyView.
ABSTRACT The advancement of power systems imposes increasingly stringent performance requirements on insulating materials, making the development of high‐performance insulating materials a critical challenge in the field of electrical engineering. Traditional material development relies heavily on empirical trial‐and‐error approaches, which are time ...
Yichen Ran, Yi Wang, Changheng Li, Jingyu Deng, Jian Wang, Haochen Zuo, Chen Zhao, Qian Wang, Yi Li, Song Xiao, Zhengyong Huang, Chao Wu, Zhonghui Shen, Kunming Shi, Fei Liu, Jie Chen, Jian Li, Xingyi Huang   +17 more
wiley   +1 more source

Elementary Steps of Energy Conversion in Strongly Correlated Systems: Beyond Single Quasiparticles and Rigid Bands

ENERGY &ENVIRONMENTAL MATERIALS, Volume 9, Issue 6, November 2026.
This article reviews the fundamental consequences of strong correlations on excitations and elementary steps of energy conversion leading to new opportunities to control energy conversion. Examples include friction at surfaces, thermal transport, and photovoltaic energy conversion.
Vasily Moshnyaga, Peter E. Blöchl, Vitaly Bruchmann‐Bamberg, Annika Dehning, Lukas Allen‐Rump, Christopher Hausmann, Matthias Krüger, Amrith Rathnakaran, Sangeeta Rajpurohit, Daniel Steil, Christoph Flathmann, Jörg Hoffmann, Michael Seibt, Cynthia Volkert, Christian Jooss   +14 more
wiley   +1 more source

Random attractors for Ginzburg–Landau equations driven by difference noise of a Wiener-like process

Advances in Difference Equations, 2019
We consider a Wong–Zakai process, which is the difference of a Wiener-like process. We then prove that there are random attractors for non-autonomous Ginzburg–Landau equations driven by linear multiplicative noise in terms of Wong–Zakai process and ...
Fengling Wang, Jia Li, Yangrong Li
doaj   +1 more source

Unified Phase‐Field Framework for Antiferroelectric, Ferroelectric and Dielectric Phases: Application to HZO Thin Films

Advanced Functional Materials, Volume 36, Issue 77, 24 September 2026.
HfxZr1−xO2${\rm Hf}_x{\rm Zr}_{1-x}{\rm O}_2$ offers CMOS‐compatible nanoscale ferroelectricity yet suffers from a high Ec${\rm E}_c$ demanding large operating voltages. A unified phase‐field framework spanning AFE/FE/DE phases shows how FE grains soften neighboring AFE grains over λ$\lambda$ ≈$\approx$ 22–37 nm.
P. Pankaj, Sandeep Sugathan, Jiyoung Kim, Si Joon Kim, Pil‐Ryung Cha   +4 more
wiley   +1 more source

Thermal Fluctuations of the superconducting order parameter in the Ginzburg-Landau theory [PDF]

, 2022
This thesis briefly explains the role of thermal fluctuations in the Ginzburg-Landau theory of superconductivity. We firstly explain the phenomenological aspects of superconductivity, then we describe the Ginzburg-Landau theory of superconductivity, with
Zuliani, Davide
core