Dispersion relation approach to the anomalous magnetic moment in gauge theories

The reason why the dispersion relations for the anomalous magnetic moment are not valid in gauge theories is explained. New sum rules are derived based on unitary bounds of scattering amplitudes. In gauge theories these sum rules give the correct values for the anomalous magnetic moment, while, in the case of conventional renormalizable theories which contain no massive vector bosons, they are identical with the usual dispersion relations for the anomalous magnetic moment.     

The anomalous relation of dielectric parameters to temperature for liquid nitrobenzene

Dielectric parameters are reported for pure nitrobenzene and dilute solutions in the microwave and radio-frequency ranges, together with the refractive index as a function of temperature at 6–45 °C. The dielectric parameters show marked anomalies at 11.28 and 34 °C on account of changes in the configuration of molecular assemblies. The most probable relaxation time is found to be 2.3 · 10^–11 sec and the critical wavelength 4.3 cm, the dielectric loss ⁿ then being maximal.     

Possible anomalous behavior of the sound velocity in a magnetic crystal

It is shown that spin-phonon interactions that arise from the strain modulation of the exchange interaction between localized spins can, under certain circumstances, cause an anomaly to appear in the temperature dependence of the sound velocity at a temperature T_sbelow the magnetic phase transition temperature of the ordered system. An interpretation of some recent measurements on uranium mononitride is attempted.     

The anomalous behaviour of nuclear structure functions revisited

The anomalous behaviour of the nuclear structure functions is discussed in the framework of a simple statistical parton model, where the nucleus is treated as a bag of uncorrelated partons. We show that the model reproduces correctly the main features of the effect and, to some extent, it is even successful at the numerical level. The characteristic prediction of the model (to be tested experimentally) is a saturation law: for largeA (=nuclear mass number) the anomalous nuclear behaviour of the structure functions is described by a universal (i.e.A-independent) function of the Bjorken variable.     

The short distance behaviour of the anomalous magnetic moment of the electron

The effective anomalous magnetic moment of the electron vanishes at short distances because the electrodynamic form factor F₂(q²) vanishes for |q²| → ∞. The effective potential due to the interaction between the anomalous magnetic moment and the Coulomb field of a nucleus only diverges logarithmically at short distances, and not, as might naively be expected, quadratically. There are no other bound states of an electron in a Coulomb field than the well-known atomic states. In particular, there is no room for high mass resonances emulating the ψ as suggested by Barut and Kraus.     

Evidence for the anomalous scaling behaviour of the molecular-beam epitaxy growth equation

According to the scaling idea of local slope, we investigate numerically and analytically anomalous dynamic scaling behaviour of (1+1)-dimensional growth equation for molecular-beam epitaxy. The growth model includes the linear molecular-beam epitaxy (LMBE) and the nonlinear Lai--Das Sarma--Villain (LDV) equations. The anomalous scaling exponents in both the LMBE and the LDV equations are obtained, respectively. Numerical results are consistent with the corresponding analytical predictions.     

Mechanisms of the anomalous Pockels effect in bulk water

Optical Review - The “anomalous” Pockels effect is a phenomenon that a light beam passing between two electrodes in an aqueous electrolyte solution is deflected by an AC voltage applied...     

The anomalous temperature dependence of the sound velocity in water

The quantum yields of naphthalene vapour fluorescence at 225°c and of phenanthrene vapour fluorescence at 365°c excited by the Hg 313 μ line are independent of concentration up to 0·014 and 0·007 moles/l. respectively; this is attributed to fast dissociation relaxation of the excimer at these temperatures.

The fluorescence of naphthacene vapour excited at temperatures of 355–435°c by the group of Hg lines at 365 μ decreases with increasing pressure at pressures below that at which absorption of the incident radiation is virtually complete, and is attributed to a combination of self-quenching and reabsorption of fluorescence. An analysis of the data for the limiting cases of complete and negligible fluorescence reabsorption provides upper and lower limits for self-quenching constant which are consistent with unit collisional quenching efficiency and a lifetime of 5·3 ± 2·2 + 10^-9 sec at 355°c.     

Possible violation of the spin-statistics relation for neutrinos: checking through future galactic supernova

We use the detection of neutrinos from a future galactic type-II supernova event in a water Cerenkov detector like Super-Kamiokande to constrain the possible violation of spin-statistics by neutrinos resulting in their obeying a mixed statistics instead of Fermi–Dirac.     

Explanation of the anomalous behaviour of the k-dependent plasmon linewidth in lithium

The high value and the negative dispersion of the plasmon linewidth in Li at low k, previously believed to be due to grain boundary scattering of very small crystallites, is shown to be caused by interband transitions whose strength depends on the magnitude of the first pseudopotential coefficients.     

Liquid water: A very complex fluid

Although H₂O has been the topic of considerable research since the beginning of the century, the peculiar physical properties are still not well understood. First we discuss some of the anomalies of this ‘complex fluid’. Then we describe a qualitative interpretation in terms of percolation concepts. Finally, we discuss recent experiments and simulations relating to the hyothesis that, in addition to the known critical point in water, there exists a ‘second’ critical point at low temperatures. In particular, we discuss very recent measurements of the compression-induced melting and decompression-induced melting lines of high-pressure forms of ice. We show how knowledge of these lines enables one to obtain an approximation for the Gibbs potential G(P, T) and the equation of state V(P,T) for water, both of which are consistent with the possible continuity of liquid water and the amorphous forms of solid water.     

On the anomalous behaviour of the doublet pd phase shift caused by a polarization potential

An estimate of pd scattering polarization effects is given in the framework of a simple two-particle model. The S-wave effective-range function is found to be discontinuous for energies E ∼ 2.3 keV.     

Fast anomalous diffusion of small hydrophobic species in water

Using Car-Parrinello molecular dynamics a structural diffusion mechanism for the simplest hydrophobic species in water, an H atom, is proposed. The hydrophobic solvation cavity is a highly dynamical aggregate that actually drives, by its own hydrogen-bond fluctuations, the diffusion of the enclosed solute. This makes possible an anomalously fast diffusion that falls only short of that of "Grotthuss structural diffusion" of H+ in water. Here, the picture of a static, i.e., "iceberglike," clathrate cage is a misleading concept. The uncovered scenario is similar to the "dynamical hole mechanism" found in a very different context, that is, large molecules moving in hot polymeric melts.     

Possible types of critical behaviour and the mean size of dynamically triangulated random surfaces

A discretization of the bosonic string through dynamically triangulated surfaces with weights depending on the internal curvature is studied analytically and by Monte Carlo simulations. Special attention is paid to the mean square extent of the surfaces with given area. The model is shown to exist in three (possibly four) different phases depending on the dimension D of the embedding space and the value of the constant α coupled to the intrinsic curvature.     

Structure of supercooled water in clusters and bulk and its relation to the two-state picture of water: Results from the TIP4P-ice model

The structure of water clusters (H₂O)_n (n = 40 -200) and bulk water were examined by molecular dynamics simulations using the TIP4P-ice water model. The analysis of the low-temperature structures in terms of the local structure index (LSI) showed a bimodal distribution. This finding supports the two-state picture derived from the analysis of the inherent dynamics of bulk SPC/E water. The water molecules at the outer interface of the coldest clusters are more structured than those in the inner core. The geometrical constraint of the interface forces the surface molecules to lose one neighbor and adopt a local angular distribution of hydrogen bonds resembling that found in the basal plane of ice Ih.