Results 61 to 70 of about 2,507 (215)

A High-Precision Numerical Method for the Fractional-in-Time Complex Ginzburg–Landau Equation with Periodic Boundary Condition

Fractal and Fractional
This paper investigates the chaotic and pattern dynamics of the time-fractional Ginzburg–Landau equation. First, we propose a high-precision numerical method that combines finite difference schemes with an improved Grünwald–Letnikov fractional derivative
Wei Zhang, Yulan Wang
doaj   +1 more source

Stochastic and Higher-Order Effects on Exploding Pulses

Applied Sciences, 2017
The influence of additive noise, multiplicative noise, and higher-order effects on exploding solitons in the framework of the prototype complex cubic-quintic Ginzburg-Landau equation is studied.
Orazio Descalzi, Carlos Cartes
doaj   +1 more source

Spatially Modulated Morphotropic Phase Boundaries in a Compressively Strained Multiferroic Thin Film

Advanced Functional Materials, EarlyView.
ABSTRACT The coexisting rhombohedral‐like (R′, MA) and tetragonal‐like (T′, MC) monoclinic phases in compressively strained bismuth ferrite thin films exhibit exceptional piezoelectric and magnetic properties. While previous studies have largely focused on probing the morphotropic phase boundaries (MPBs) comprising ordered R′/T′ twins, their self ...
Ting‐Ran Liu, Xiangwei Guo, Sajid Husain, Maya Ramesh, Pushpendra Gupta, Darrell Schlom, Ramamoorthy Ramesh, Yu‐Tsun Shao   +7 more
wiley   +1 more source

Mesoscale Domain Evolution Mechanism during Alternating Current (AC) Poling of Relaxor Ferroelectrics

Advanced Functional Materials, EarlyView.
Ferroelectric domain variants that are energetically equivalent are expected to remain preserved during polarization reversal. However, phase‐field simulations reveal that inclined domain walls in relaxor ferroelectrics can undergo irreversible elimination during alternating current poling through a proximity effect driven by long‐range elastic ...
Yuan‐Jie Sun, Bo Wang, Long‐Qing Chen   +2 more
wiley   +1 more source

Controllability of the Ginzburg-Landau equation [PDF]

, 2008
International audienceThis Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg-Landau equation.
Rosier, Lionel, Bing-Yu Zhang, Zhang, Bing-Yu, Lionel Rosier   +3 more
core   +1 more source

Ferroelectric Dynamic‐Field‐Driven Nucleation and Growth Model for Predictive Materials‐To‐Circuit Co‐Design

Advanced Materials, EarlyView.
This study presents a compact dynamic‐field‐driven nucleation and growth (DFNG) model that captures ferroelectric switching behavior under arbitrary voltage waveforms. It enables extraction of time‐dependent domain wall velocity and growth dimensionality, which can then be extended to device‐level modeling.
Yi Liang, Soohyeon Kim, Tony Chiang, Megan K. Lenox, Ian Mercer, John J. Plombon, Jon‐Paul Maria, Jon F. Ihlefeld, Wenhao Sun, Wei Lu, John T. Heron   +10 more
wiley   +1 more source

A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials

Advanced Materials Interfaces, EarlyView.
Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav, Shakti S. Gupta, Roger A. Sauer   +2 more
wiley   +1 more source

Magnetoelectric Nanoparticle‐Based Wireless Brain–Computer Interface: Underlying Physics and Projected Technology Pathway

Advanced Science, EarlyView.
Magnetoelectric nanoparticles (MENPs) enable fully wireless, minutely invasive neuromodulation, and potentially neural recording, by converting magnetic into electric and, conversely, electric into magnetic fields, respectively, at high spatiotemporal resolution.
Elric Zhang, Max Shotbolt, Mostafa Abdel‐Mottaleb, Shawnus Chen, Victoria Andre, Jieyuan Tian, Jonathan Shulgach, Max Murphy, Brian Noga, Ping Liang, Darcy Griffin, Douglas Weber, Marta Pardo, Salvador Pane, Sakhrat Khizroev   +14 more
wiley   +1 more source

Asymmetric Electrostrain/Electrobending in Piezoelectric Ceramics: Role of Defect Dipoles or Oxygen Vacancies

Advanced Science, EarlyView.
Defect‐configurational origins of the asymmetric apparent electrostrain are revealed in different piezoelectric ceramics via atomic‐scale visualization of defect configurations. Migration of oxygen vacancies leads to the electrobending effect in N2‐sintered BaTiO3, while defect dipoles in Ba0.99TiO2.99 generate true asymmetric electrostrain without ...
Jie Wang, Geng Huangfu, Hongjie Zhang, Tiannan Yang, Zhenhua Ma, Jingsheng Chen, Yun Liu, Yiping Guo   +7 more
wiley   +1 more source

The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation

Discrete Dynamics in Nature and Society, 2015
This paper studies the following discrete systems of the complex Ginzburg-Landau equation: iu˙m-(α-iε)(2um-um+1-um-1)+iκum+βum2σum=gm,  m∈Z. Under some conditions on the parameters α, ε, κ, β, and σ, we prove the existence of exponential attractor for ...
Guangyin Du, Zeqi Zhu, Caidi Zhao
doaj   +1 more source