Pinning model

In this work, we have measured the critical current density of YBa2Cu307 thin film in strong magnetic field H up to 10 T at various angle 6 between H and the crystallographic c-axis. We have compared our results to the intrinsic pinning model proposed by Tachiki and Takahachi [7],... 

As can be seen, in this experimental condition, the theoretical curve proposed by the intrinsic pinning model of Tachiki and Takahachi are in good agreement with our experimental data. 

The experimental values obtained at 60 K, in an applied magnetic field of 0.6 T are plotted in figure 3. For comparison, with the theoretical values the solid line presents the intrinsic pinning model values using Jcl = 6.07x106 A/cm2 and Jc2 = 2.3xl06 A/cm2. 

In the weak magnetic field region (0.6 T), the experimental results are not in agreement with the intrinsic pinning model. In this case, the flux pinning at the film surface becomes more dominant than the intrinsic pinning by the ab planes. 

A snapshot of a cut normal to the surface of a growing crystal might thus look as in Fig. 23. This situation corresponds to the kinetic roughness in the roughness-pinning model of Sadler [22] (see also [71]). The unstable overgrowth must detach before the stem underneath can rearrange. The reason... 

Kelvin effect, 153 mattress model of adsorption inhibition, 153-154 medical applications, 155 recrystallization- inhibition applications, 155 repeating tripeptide unit, 152 step pinning model of adsorption inhibition, 153-154 structure, 152 subtypes, 152... 

Cao et al. reported an alternative Fermi-level pinning model to rationalize the potential distribution at negative applied potentials [147]. They suggested that the reduction of Ti surface states to TF , observed by low-temperature EPR spectroscopy, pins the Fermi level and, as the potential is raised further, the potential drops across the solution-semiconductor interface. 

Neither the domain model, nor the collective mode pinning model appears... 

Briones, A.M., Ervin, J.S., Putnam, S.A., Byrd, L.W., Jones, J.G. A novel kinetically-controlled de-pinning model for evaporating water microdroplets. Int. Commun. Heat Mass. 39, 1311-1319 (2012)... 

Pin-by-pin models of the TMI design cote (as-built) were analyzed vrith MORSE-SGC/S and KENO-IV. As anticipated... 

In summary, the crack pinning model, as described so far, explains why fracture energy increases with filler volume fraction and it accounts for the particle size effect. In the next section a rationalisation of the maxima in the plots of G]c (c) against Vf is presented. 

Extensions to the Crack Pinning Model and the Effect of Particle Matrix Adhesion... 

This means that the Fermi level would not always be pinned, and this raises some questions concerning the possible mechanism for the Fermi level pinning model. 

Variation dL/ dx with x for the first order phase transition model and the equilibrium soap film configurations within the four-pin model, with the illustration of the corresponding energies with respect the configurations a and b. (a) Pair of pins are close to each other (b) pairs of pins are widely separated. Note that the lines in reality are two-dimensional, but their sizes do not change in the other dimension. 

The random walk S defines the pinning model of Section 1.2.1, but the arguments really used only the distribution K -) of the return times to zero. In particular we could generalize the model to any homogeneous Markov chain S to avoid trivialities we should assume for example that P Sn = 0) > 0 for some n, but in general there is no reason to assume that 0 is recurrent for the chain. 

In Chapter 2 we will treat in detail the generalized pinning model we have just introduced. However most of the arguments in the proof of Proposition 1.1 are absolutely general and in any case f(-) is nonnegative, it is convex, non-decreasing and it is determined by (1.6). Set [3c = inf d f(/ ) > 0 from (1.6) one readily realizes that... 

Of course the next step is to introduce inhomogeneities in the model, for example in terms of two different energies Eat a.nd Egc- But this corresponds to considering an inhomogeneous pinning model (and we will come back to this at length). 

As it will be clear from the proof Theorem 1.7 is rather general (and it goes even well beyond the homogeneous set-up, c/. Section 1.10) one can for example state it for general pinning models, but one has to add the information on the entropic cost due to the last (incomplete) excursion, an information that is clearly not contained in the renewal process. 

We introduce inhomogeneities in the polymer chain, or at the interface or defect line, by assigning to each monomer, or to each interface site, a charge, that is a real number that will determine quantitatively the interaction of the chain with the surrounding environment. For example, an inhomogeneous pinning model is the following ... 

Localization and delocahzation for a periodic pinning model may be characterized once again by looking at the free energy. As we will explain in Chapter 3, it is possible to generalize the renewal theory approach introduced in Section 1.2, however the algebra is substantially more complex and the point process hidden behind periodic models is not a standard renewal, but rather a Markov renewal (see Chapter 3). This will allow precise computations, but for the moment we observe that ... 

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