Correlation, dynamic natural

Up to this point we have assumed implicitly that each defect responsible for the atomic motion has an infinite lifetime. In real crystals, however, this lifetime is finite because of the dynamic nature of the point defect equilibria. This means that only m consecutive jumps are correlated (corresponding to the defect lifetime). It has been shown [R. Kutner (1985)] that under these conditions... 

Zhang, Q., Stelzer, A. C., Fisher, C. K., and Al-Hashimi, H. M. (2007). Visualizing spatially correlated dynamics that directs RNA conformational transitions. Nature 450, 1263—1267. 

In contrast, the MP2 and MP4 methods of theory are successful, and this success emphasizes the dynamic nature of electron correlation for this molecule. 

First of all, the existence of the surface establishes a certain correlation between different electronic states, particularly between incident and reflected electrons. In addition there are electron density variations both within the surface and along the surface normal. Since the screening radius increases with decreasing electron density, it is obviously unrealistic to third of a spherical potential hole accompanying its electron in the immediate surface region, where the electron density drops very rapidly to zero. At the very lowest densities, in particular, the potential must somehow go over in continuous fashion into the classical image potential applying far away from the metal surface. Finally, from the dynamic nature of these interactions it follows that the problem must be dealt with self-consistently each electron contributes to the holes of all the other electrons in a manner dependent on the detailed features of its own potential hole. 

The dynamic nature of the gramicidin channel has been the subject of much interest. The N spin-lattice relaxation time (Tj) of the nitrogen atom at the Leu-4 position has been used to investigate the local djmamics about the Ala-3/Leu-4 linkage. Evidence was obtained that suggests a correlation between the local dynamics and ion transport through the channel. The... 

We see that the question of the nature of the nonlocality of the friction tensor is indeed a complex one. Spatial nonlocality can arise from a variety of effects such as static solvent structural correlations, dynamic solvent effects that give rise to Oseen interactions at large distance, and contributions from the direct forces between the molecules. 

Our work on biodegradation supports that of Yu et al. (2002). In particular, our models suggest that biodegradation is not necessarily limited to temperatures less than 65 °C that not all lower temperature reservoirs contain biodegraded oil and that the dynamic nature of biodegradation results in poor to very poor correlations between API gravity and reservoir depth or temperature. 

The physical interpretation of the electron-interaction component Wge(r) was originally proposed by Harbola and Sahni [9], and derived by them via Coulomb s law. It is based on the observation that the pair-correlation density g(r,r ) is not a static but rather a dynamic charge distribution whose structure changes as a function of electron position. The dynamic nature of this charge then must be accounted for in the description of the potential. Thus, in order to obtain the local potential in which the electron moves, the force field due to this charge distribution must first be determined. According to Coulomb s law this field is... 

Y(Mn,Fe)2- Substitution within the Mn lattice can also lead to lattice contraction and hence to a destabilization of Mn moments. An example is Y(Mhi combined neutron scattering and pSR study was carried out by Cywinski et al. (1990). Neutrons show that already at x = 0.025 the Mn moment is reduced to 0.2pb and the system reverts to Pauli paramagnetic behavior. They further revealed the presence of AFM correlations over a wide temperature range, but could not distinguish between static (frozen spins) or dynamic (longitudinally fluctuating spins) correlations. With the help of TF-p.SR measurements it was possible to pin down the dynamical nature of the correlations. The temperature dependence of relaxation rate followed a simple power law (A(J) oc T " )... 

Dissado, L.A., Hill, R.M., 1979. Non-exponential decay in dielectrics and dynamics in correlated systems. Nature 279, 685-689. 

In these materials, the phase sequence is accounted for by a change in the nature and/or degree of antiparallel correlations. This leads, in effect, to the mesogenic unit changing to a different supramolecular species with a different anisotropy and showing a different mesophase, the effect being driven by temperature. Thus, the supramolecular nature of some systems is dynamic. This dynamic nature is further evidenced by the phenomenon of cybotacticity, in which localized clusters that may be, for example, SmA or SmC in nature, are found in nematic phases. Such behavior is now the subject of intense speculation as proposals... 

---