... of the cubic GPE in two dimensions. Peculiarities of the onset of the critical collapse in the 2D SOC system were additionally studied by Mardonov et al. (2015) . The explanation to the stabilizing effect of the SOC for the 2D solitons in free space is that SOC sets up its length scale...

... ) to ℓ_e introduces significant challenges in establishing the closed-loop stability of the EMPC and also significantly increases the computational complexity of EMPC compared with the MPC. The way to establish the closed-loop stability of EMPC is discussed in section 7.4.3 . In the next section...

... et al. (2021a) used a Monte Carlo simulation to model the random uncertainties of PV module cell parameters and discussed the influence of parameter uncertainty on the output response in terms of performance, stability, and reliability. The results indicated that: a high current-temperature...

... and specific situations Electron diffraction Single photon/electron interference Structure and stability of an atom (vs solar system; discrete energy levels) Images/visualization of quantum particles (photons/electrons/atoms) Ontology of quantum objects (electron/photon) Trajectory...

...References References Angeli , D. , Amrit , R. , and Rawlings , J. B. , “ On average performance and stability of economic model predictive control ,” IEEE. Trans. Autom. Control   57 ( 7 ), 1615 – 1626 ( 2012 ). 10.1109/TAC.2011.2179349 Chalmers , H. , Lucquiaud , M...

... Salah Saidi , A. , “ Impact of grid-tied photovoltaic systems on voltage stability of Tunisian distribution networks using dynamic reactive power control ,” Ain Shams Eng. J.   13 ( 2 ), 101537 ( 2022 ). 10.1016/j.asej.2021.06.023 Sayed , A. , EL-Shimy , M. , El-Metwally , M...

... promoted alumina ,” AIChE J.   53 , 2824 – 2831 ( 2007 ). 10.1002/aic.11312 Li , L. , King , D. L. , Nie , Z. , and Howard , C. , “ Magnesia-stabilized calcium oxide absorbents with improved durability for high temperature CO₂ capture ,” Ind. Eng. Chem. Res.   48...

... stability ,” J. Appl. Phys.   82 , 4852 – 4859 ( 1997 ). 10.1063/1.366347 3 Asaro , R. J. and Tiller , J. W. , “ Interface morphology development during stress corrosion cracking: Part I. Via surface diffusion ,” Metall. Mater. Trans. B   3 , 1789 – 1796 ( 1972 ). 10.1007/BF02642562...

... ), 315 – 318 ( 1931 ). 10.1073/pnas.17.5.315 McAuley , K. , Macdonald , D. , and McLellan , P. , “ Effects of operating conditions on stability of gas-phase polyethylene reactors ,” AIChE J.   41 ( 4 ), 868 – 879 ( 1995 ). 10.1002/(ISSN)1547-5905 Narasingam...

... at temperatures between 450 and 550 ∘ C . No fracturing, particle break-up, or discoloration was observed, probably because of the use of COG purge ( Duraiswamy et al., 2010 ). It was believed that the presence of water vapor enhances the stability of the hydrotalcites and COG oxidizes coke...

... dependence instead of the (kh)⁴ dependence in the first term for φ. Dynamic ATG: Even though the case of a closed system (that is, static ATG) is discussed above, the stability analysis is amenable to an extension to the case of a growing film; see Ref. 35 for an example...

... is two-dimensional and can be coherent along the thickness of the film, provided the growth is epitaxial. This anisotropic nature of strain can perturb the energetic landscape in an unusual manner that the properties that are not accessible in the bulk form can be stabilized in thin films...

... at the morphotropic composition and epitaxial strain-induced structural stability of multiferroic BiFeO₃ thin films. The following chapter in this section (Chap. 7) discusses corresponding experimental studies on epitaxial strain effects on structural stability, ferroelectric/ferroelastic domain evolution...

.... BFO is known to stabilize in the rhombohedral crystal structure (R3c) with lattice parameters of a∼5.58 Å and c∼13.9 Å, but when fabricated in the form of epilayers, it acquires a pseudocubic lattice parameter that equals to approximately a∼3.965 Å. Such a close match...

... the impacts of noise in the quantum circuit on the stabilization of the control law. In that case, we used the depolarizing error noise model with an error parameter of 0.05 applied to the controlled phase rotation gates. Using the same noise modeling as in Nieman et al. (2022...

... diffraction Single photon/electron interference Structure and stability of an atom (vs solar system; discrete energy levels) Images/visualization of quantum particles (photons/electrons/atoms) Ontology of quantum objects (electron/photon) Trajectory of photon and electron behavior...

... dimers in M₁ phase are 2.65 Å and 3.12 Å as shown in Fig. 4.1(a) . As depicted in the figure, after transition to the R phase, the V-V forms a linear bond of 2.85 Å. Similarly, M₂ (monoclinic, space group C2/m) phase is an intermediate phase which can be stabilized by external...