Results 91 to 100 of about 33,545 (214)
Extinction phenomenon for Spinor Ginzburg-Landau equations
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Coercive voltage enhancement in hafnia‐based ferroelectric–dielectric heterostructures is shown to originate from leakage‐governed voltage division between the ferroelectric and dielectric layers. Through experiments, circuit modeling, and defect‐based simulations, a universal framework is established to engineer large memory windows without altering ...
Prasanna Venkatesan +21 more
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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
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Optical solitons with differential group delay for complex Ginzburg–Landau equation
This paper addresses optical solitons in birefringent fibers that is modeled by complex Ginzburg–Landau equation with Kerr law nonlinearity. Three forms of integration architecture retrieves soliton and other solutions to the model.
Yakup Yıldırım +6 more
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On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation
The cubic complex one-dimensional Ginzburg-Landau equation is considered. Using the Hone's method, based on the use of the Laurent-series solutions and the residue theorem, we have proved that this equation has neither elliptic standing wave nor elliptic
A. N. W. Hone +28 more
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Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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Ginzburg-Landau vortex dynamics with pinning and strong applied currents
We study a mixed heat and Schr\"odinger Ginzburg-Landau evolution equation on a bounded two-dimensional domain with an electric current applied on the boundary and a pinning potential term.
A. Aftalion +35 more
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Topological methods for the Ginzburg-Landau equations
Summary: We consider the Ginzburg-Landau equation \[ - \Delta u = \varepsilon^{- 2} u \bigl( 1 - |u |^2 \bigr) \text{ in } \Omega, \quad u = g \text{ on } \partial \Omega, \] where \(\Omega\) is a domain in \(\mathbb{R}^2\), \(g : \partial \Omega \to \mathbb{C}\) is such that \(|g |= 1\) on \(\partial \Omega\), and \(\varepsilon > 0\) is a parameter ...
Almeida, Luís, Bethuel, Fabrice
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Uniform volumetric heating via microwave annealing combined with an ultrathin Mo interlayer enables low‐temperature crystallization of thin HZO films. Interfacial degradation and dead‐layer formation are suppressed, resulting in enlarged ferroelectric domains, uniform switching behavior, and a high remanent polarization of 45.2 μC/cm2 at 200°C.
Sohyeon An +5 more
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A Liouville theorem for the fractional Ginzburg–Landau equation
In this paper, we are concerned with a Liouville-type result of the nonlinear integral equation \begin{equation*} u(x)=\int _{\mathbb{R}^{n}}\frac{u(1-|u|^{2})}{|x-y|^{n-\alpha }}\mathrm{d}y, \end{equation*} where $u: \mathbb{R}^{n} \rightarrow \mathbb{
Li, Yayun, Chen, Qinghua, Lei, Yutian
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