4,340 research outputs found
Pseudo-epsilon expansion and the two-dimensional Ising model
Starting from the five-loop renormalization-group expansions for the
two-dimensional Euclidean scalar \phi^4 field theory (field-theoretical version
of two-dimensional Ising model), pseudo-\epsilon expansions for the Wilson
fixed point coordinate g*, critical exponents, and the sextic effective
coupling constant g_6 are obtained. Pseudo-\epsilon expansions for g*, inverse
susceptibility exponent \gamma, and g_6 are found to possess a remarkable
property - higher-order terms in these expansions turn out to be so small that
accurate enough numerical estimates can be obtained using simple Pade
approximants, i. e. without addressing resummation procedures based upon the
Borel transformation.Comment: 4 pages, 4 tables, few misprints avoide
High pressure synthesis of FeO-ZnO solid solutions with rock salt structure: in situ X-ray diffraction studies
X-ray diffraction with synchrotron radiation has been used for the first time
to study chemical interaction in the FeO-ZnO system at 4.8 GPa and temperatures
up to 1300 K. Above 750 K, the chemical reaction between FeO and ZnO has been
observed that resulted in the formation of rock salt (rs) Fe1-xZnxO solid
solutions (0.3 \leq x \leq 0.85). The lattice parameters of these solid
solutions have been in situ measured as a function of temperature under
pressure, and corresponding thermal expansion coefficients have been
calculated.Comment: 9 pages, 2 figures, 1 tabl
Hyperfine Level Splitting for Hydrogen-Like Ions due to Rotation-Spin Coupling
The theoretical aspects of spin-rotation coupling are presented. The approach
is based on the general covariance principle. It is shown that the
gyrogravitational ratio of the bare spin-1/2 and the spin-1 particles is equal
unity. That is why spin couples with rotation as an ordinary angular momentum.
This result is the rigorous substantiation of the cranking model. To observe
the phenomenon, the experiment with hydrogen-like ions in a storage ring is
suggested. It is found that the splitting of the
hyperfine state of the and ions
circulating in the storage ring ESR in Darmstadt along a helical trajectory is
about 4.5 MHz. We argue that such splitting can be experimentally determined by
means of the ionic interferometry.Comment: 6 pages, final versio
CPT and Lorentz violation effects in hydrogen-like atoms
Within the framework of Lorentz-violating extended electrodynamics, the Dirac
equation for a bound electron in an external electromagnetic field is
considered assuming the interaction with a CPT-odd axial vector background
. The quasi-relativistic Hamiltonian is obtained using a -series
expansion. Relativistic Dirac eigenstates in a spherically-symmetric potential
are found accurate up to the second order in . -induced CPT-odd
corrections to the electromagnetic dipole moment operators of a bound electron
are calculated that contribute to the anapole moment of the atomic orbital and
may cause a specific asymmetry of the angular distribution of the radiation of
a hydrogen atom.Comment: 13 pages, 1 figure; (5.14) is corrected to conform to the
normalization convention for Laguerre polynomials adopted at present; minor
grammatical change
Landau thermodynamic potential for BaTiO_3
In the paper, the description of the dielectric and ferroelectric properties
of BaTiO_3 single crystals using Landau thermodynamic potential is addressed.
Our results suggest that when using the sixth-power free energy expansion of
the thermodynamic potential, remarkably different values of the fourth-power
coefficient, \beta (the coefficient of P^4_i terms), are required to adequately
reproduce the nonlinear dielectric behavior of the paraelectric phase and the
electric field induced ferroelectric phase, respectively. In contrast, the
eighth-power expansion with a common set of coefficients enables a good
description for both phases at the same time. These features, together with the
data available in literature, strongly attest to the necessity of the
eighth-power terms in Landau thermodynamic potential of BaTiO_3. In addition,
the fourth-power coefficients, \beta and \xi (the coefficient of P^2_i P^2_j
terms), were evaluated from the nonlinear dielectric responses along [001],
[011], and [111] orientations in the paraelectric phase. Appreciable
temperature dependence was evidenced for both coefficients above T_C. Further
analysis on the linear dielectric response of the single domain crystal in the
tetragonal phase demonstrated that temperature dependent anharmonic
coefficients are also necessary for an adequate description of the dielectric
behavior in the ferroelectric phase. As a consequence, an eighth-power
thermodynamic potential, with some of the anharmonic coefficients being
temperature dependent, was proposed and compared with the existing potentials.
In general, the potential proposed in this work exhibits a higher quality in
reproducing the dielectric and ferroelectric properties of this prototypic
ferroelectric substance.Comment: 7 figures, 5 table
Anharmonicity of BaTiO_3 single crystals
By analyzing the dielectric non-linearity with the Landau thermodynamic
expansion, we find a simple and direct way to assess the importance of the
eighth order term. Following this approach, it is demonstrated that the eighth
order term is essential for the adequate description of the para/ferroelectric
phase transition of BaTiO_3. The temperature dependence of the quartic
coefficient \beta is accordingly reconsidered and is strongly evidenced by the
change of its sign above 165 C. All these findings attest to the strong
polarization anharmonicity of this material, which is unexpected for classical
displacive ferroelectrics.Comment: 4 figures, to be published in Phys. Rev.
On the relation between Unruh and Sokolov--Ternov effects
We show that the Sokolov--Ternov effect -- the depolarization of particles in
storage rings coming from synchrotron radiation due to spin flip transitions --
is physically equivalent to the Unruh effect for circular acceleration if one
uses a spin 1/2 particle as the Unruh--DeWitt detector. It is shown that for
the electron, with gyromagnetic number , the exponential
contribution to the polarization, which usually characterizes the Unruh effect,
is "hidden" in the standard Sokolov-Ternov effect making it hard to observe.
Thus, our conclusions are different in detail from previous work.Comment: 23 pages, no figure
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