Metastable time-dependent

Sihcate solutions of equivalent composition may exhibit different physical properties and chemical reactivities because of differences in the distributions of polymer sihcate species. This effect is keenly observed in commercial alkah sihcate solutions with compositions that he in the metastable region near the solubihty limit of amorphous sihca. Experimental studies have shown that the precipitation boundaries of sodium sihcate solutions expand as a function of time, depending on the concentration of metal salts (29,58). Apparently, the high viscosity of concentrated alkah sihcate solutions contributes to the slow approach to equihbrium. 

The main objective in carrying out LIESST experiments on (bt, S) was to elucidate the nature of excitations (metastable pairs) which appear at low temperatures after light irradiation of a ground [LS-LS] state. As is illustrated in Fig. 11a, at 4.2 K before irradiation the Mossbauer spectrum of a sample, which was enriched with 20% of 57Fe, reflects the presence of mainly LS species. The Mossbauer parameters obtained from the fitting of the spectrum are dLs=0.357(l) mms, AEq(ls)=0.452(2) mms. After irradiation of the sample for one hour (2=514 nm) at 4.2 K, the Mossbauer spectrum of (bt, S) shows a decrease in the intensity of the LS species (62.0%) in favour of an increase of the HS species (38.0%) (Fig. lib). Time-dependent measurements revealed the decay of the HS component (Fig. 11c, d), which... 

To summarize, in the present scenario pure hadronic stars having a central pressure larger than the static transition pressure for the formation of the Q -phase are metastable to the decay (conversion) to a more compact stellar configuration in which deconfined quark matter is present (i. e., HyS or SS). These metastable HS have a mean-life time which is related to the nucleation time to form the first critical-size drop of deconfined matter in their interior (the actual mean-life time of the HS will depend on the mass accretion or on the spin-down rate which modifies the nucleation time via an explicit time dependence of the stellar central pressure). We define as critical mass Mcr of the metastable HS, the value of the gravitational mass for which the nucleation time is equal to one year Mcr = Miis t = lyr). Pure hadronic stars with Mh > Mcr are very unlikely to be observed. Mcr plays the role of an effective maximum mass for the hadronic branch of compact stars. While the Oppenheimer-Volkov maximum mass Mhs,max (Oppenheimer Volkov 1939) is determined by the overall stiffness of the EOS for hadronic matter, the value of Mcr will depend in addition on the bulk properties of the EOS for quark matter and on the properties at the interface between the confined and deconfined phases of matter (e.g., the surface tension a). 

Subsequent work confirmed this apparently abnormal behaviour. Deuteriation at remote sites (the S- or e-position) induces small inverse secondary isotope effects in a-cleavages occurring in the ion source, but normal isotope effects in the decomposition of metastable ions in the field-free regions94,95. The time dependence of the isotope effect was also studied by field ionization kinetics, which permit the analysis of fragmentations occurring after lifetimes as short as 10 12 s-1. It was found that the inverse isotope effect favouring loss of the deuteriated radical operates at times shorter than 10 9 s95. 

A very similar situation has been observed in Similar but less well studied indications for metastable products have been obtained for the DHP s formed from the m-substituted stilbenes Some observations about time-dependent changes in the absorption spectmm of 1 could well be due to such processes ... 

A major disadvantage of the materials using polymerized sulphur as the binder, is the time-dependence of their behaviour the polymerized sulphur is metastable and in all cases the ductility disappears within a relatively short period of time (a few months to about 15 months, Figures 2 and 3). This time-dependence was also found previously by Currell and his co-workers (19). Data on Sulphlex (17) show similar trends. 

The properties of a material must dictate the applications in which it will best perform its intended use. All materials made to date with polymerized sulphur show time-dependent stress-strain behaviour. The reversion to the brittle behaviour of orthorhombic sulphur is inevitable as the sulphur transforms from the metastable polymeric forms to the thermodynamically stable crystalline structure. The time-span involved of at most 15 months (to date) would indicate that no such materials should be used in applications dependent on the strain softening behaviour. Design should not be based on the stress-strain relationships observed at an age of a few days. Since the strength of these materials is maintained, however, uses based on strength as the only mechanical criterion would be reasonable. 

The last component of our brief analysis of metastable states again refers to the interpretation of the time constant for decay of the state. The point is the following we wish to associate with the metastable state a time dependent but factorizable wavefunction constructed in analogy with the wavefunction of a stable state. Now, the amplitude function (2-40) describes the component of the transition amplitude with phase shifts Sa and S0. It can be shown that the component of the wavefunction of the outgoing particle corresponding to, say, phase shift Sa, will be... 

C.R. Holt, M.G. Raymer, W.P. Reinhardt, Time dependences of two-, three-, and four-photon ionization of atomic hydrogen in the ground 12S and metastable 22S states, Phys. Rev. A 27 (6) (1983) 2971. 

Bubble instability is one of the complications of this process. Only recently did this matter receive theoretical attention. As pointed out by Jung and Hyun (28), there are three characteristic bubble instabilities axisymmetric draw resonance, helical instability, and metastability where the bubble alternates between steady states, and the freeze line moves from one position to another. Using linear stability analysis, Cain and Denn (62) showed that multiple steady state solutions are possible for the same set of conditions, as pointed out earlier. However, in order to study the dynamic or time-dependent changes of the process, transient solutions are needed. This was recently achieved by Hyun et al. (65), who succeeded in quite accurately simulating the experimentally observed draw resonance (28). 

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