Anomalous transition

Scher H, Montroll EW (1975) Anomalous transit-time dispersion in amorphous solids. Phys Rev B 12 2455... 

Hetsroni et al. [6] also reexamined previous studies of friction factor in microchannels and drew the same conclusions that they did for transition in microchannels. They found that the anomalous results reported in some studies could be explained by the same factors that contributed to the observation of anomalous transitional behavior. Indeed, in the only study performed to date combining both microPIV and extensive pressure drop measurements. Sharp and Adrian [8] found that transition as measured by microPIV agreed well transition as inferred from friction factor data and also found that their measured friction factors agreed well with macroscale results. As with transition to turbulence, the experimental evidence on friction factors in turbulent microchannel flow shows that microscale flow exhibits the same behavior as macroscale flows. 

Instead of a sudden change in the course of the isotherm (full drawn curve) the transition to condensation may be a more or less gradual one (dotted line) since very thin liquid layers of a few 2 or 3) molecules thick have a lower vapour pressure than those of several molecules thick. Theoretical considerations show that, ordinarily, such anomalous transition layers will be hardly thicker than 2 molecules. If however polar molecules are concerned considerably thicker layers may occur, a result to which we will refer below. In this instance considerable quantities of liquid may condense before the saturation pressure is reached. 

H. Scher and E. W. Montroll [1975] Anomalous Transit-Time Dispersion in Amorphous Solids, Phys. Rev. B 12, 2455-2477. 

In assessing overall performance with a Zeeman effect instrument, the subject of analytical range must also be considered. For most normal class transitions, a component will be completely separated at sufficiently high magnetic fields. Consequently, the analytical curves will generally be similar to those obtained by standard AAS. However, for certain anomalous transitions some overlap may occur. In these cases, curvature will be greater and may be so severe as to produce double-valued analytical curves. Figure 11.3, which shows calibration curves for copper, illustrates the reason for this behaviour. The Zeeman pattern... 

To carry this any further would also require a detailed treatment of thermodynamic stability. Sufficient to say that the theoryf based on the use of internal parameters hcts made considerable progress in providing an account of the anomalous transitions discussed above. Nevertheless the example of liquid helium is still imperfectly understood and appears to depend on specifically quantum effects which occur at very low temperatures. 

At the end of this article, one should be able to briefly describe the anomalous transitions in near-surface layers, nanocomposites, and ultrathin films. Glass Transition on the Polymer Surface and in the Polymer Thin... 

Recent tlieoretical [35, 36 and 37] and experimental [38] research has revealed anomalous behaviour of tire dimer anisotropy under certain excitation conditions. If tire dimer is excited by broadband light tliat covers botli excitonic transitions, or by a relatively narrow band properly positioned between tire maxima of tire excitonic transitions, tire... 

Do we expect this model to be accurate for a dynamics dictated by Tsallis statistics A jump diffusion process that randomly samples the equilibrium canonical Tsallis distribution has been shown to lead to anomalous diffusion and Levy flights in the 5/3 < q < 3 regime. [3] Due to the delocalized nature of the equilibrium distributions, we might find that the microstates of our master equation are not well defined. Even at low temperatures, it may be difficult to identify distinct microstates of the system. The same delocalization can lead to large transition probabilities for states that are not adjacent ill configuration space. This would be a violation of the assumptions of the transition state theory - that once the system crosses the transition state from the reactant microstate it will be deactivated and equilibrated in the product state. Concerted transitions between spatially far-separated states may be common. This would lead to a highly connected master equation where each state is connected to a significant fraction of all other microstates of the system. [9, 10]... 

Fig. 4X When x-cut quartz is subjected to impact loading whose duration is less than wave transit time, an anomalous current pulse can be observed after the stress release. The diagram shows locations at which experiments were conducted and delineates the region of normal and anomalous response (after Graham and Ingram ([72G03]).

The well defined change in compressibility of the fee alloy at 2.5 GPa clearly indicates the expected behavior of a second-order phase transition. The anomalously high value of the compressibility for the pressure-sensitive fee alloy is demonstrated in the comparison of compressibilities of various ferromagnetic iron alloys in Table 5.1. The fee Ni alloy, as well as the Invar alloy, have compressibilities that are far in excess of the normal values for the... 

K. Kassner, A. Valance, C. Misbah, D. Temkin. New broken-parity state and a transition to anomalous lamellae in eutectic growth. Phys Rev E 4S 1091, 1993. 

Figure 3.8 Anomalous temperature dependence of relative dielectric constant of ferroelectric crystals at the transition temperature (Curie point).

Table II must be used with care in anomalous cases in which the transition probability for ionization of the molecule is very low in some energy ranges (e.g., acetylene, benzene, methylamine). In such cases higher RE s, not included in the table and normally of small importance, may be responsible for the charge exchange processes although with small cross-sections (cf. 9, 13).

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