Does a Morphotropic Phase Boundary Exist in ZrxHf1‐xO2‐Based Thin Films?
This study investigates 6 nm zirconium‐rich hafnium‐zirconium oxide thin–film metal–insulator–metal capacitors using a combination of experimental methods and machine learning–based molecular dynamics simulations to provide insight into the physical mechanisms that enhance the dielectric constant near 0 V and attribute it to the field‐induced ...
Pramoda Vishnumurthy +9 more
wiley +1 more source
Emergent Freestanding Complex Oxide Membranes for Multifunctional Applications
This review surveys freestanding oxide membranes and covers fabrication and three pathways for studies and devices: strain‐free and strained membranes, and van der Waals‐integrated heterostructures. We show how coupled oxide responses map onto these routes and cross‐couple to expand behaviors.
Baowen Li +6 more
wiley +1 more source
Bifurcations, chaotic behavior, and optical solutions for the complex Ginzburg–Landau equation
This research focuses on investigating an extended version of the Ginzburg–Landau (GL) equation that describes the motion of particles in a plasma. The other applications of this model can be found in optics, and other related fields.
C. Zhu +4 more
doaj +1 more source
Numerical Investigation of the Dynamics of ‘Hot Spots’ as Models of Dissipative Rogue Waves
In this paper, the effect of gain or loss on the dynamics of rogue waves is investigated by using the complex Ginzburg-Landau equation as a framework. Several external energy input mechanisms are studied, namely, constant background or compact Gaussian ...
Hiu Ning Chan, Kwok Wing Chow
doaj +1 more source
In evolution equations for a complex amplitude, the phase obeys a much more intricate equation than the amplitude. Nevertheless, general methods should be applicable to both variables.
A. N. W. Hone +16 more
core +1 more source
Blow-up profile for the complex Ginzburg–Landau equation
This paper deals with the study of the Ginzburg-Landau equation \[ u_t=(1+i\beta )\Delta u+(1+i\delta )| u| ^{p-1}u-\gamma u, \quad u(\cdot ,0)\in L^\infty ({\mathbb R}^N,{\mathbb C}), \] where \(p>1\) and the constants \(\beta\), \(\delta\) and \(\gamma\) are real. The authors construct a solution \(u(x,t)\) that blows up in some finite time \(T\), in
Masmoudi, Nader, Zaag, Hatem
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Disordered Regimes of the one-dimensional complex Ginzburg-Landau equation
I review recent work on the ``phase diagram'' of the one-dimensional complex Ginzburg-Landau equation for system sizes at which chaos is extensive.
+26 more
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Damped nonlinear Ginzburg-Landau equation with saturation. Part II. Strong Stabilization [PDF]
We study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between the nonlinear Schrödinger equation and dissipative parabolic dynamics ...
Pascal Bégout, Jesús Ildefonso Díaz
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Stationary optical solitons with complex Ginzburg-Landau equation having nonlinear chromatic dispersion. [PDF]
Yalçı AM, Ekici M.
europepmc +1 more source
On the stability of localized structures in the complex Ginzburg–Landau equation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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