487 research outputs found
The Metric of Yang-Mills Orbit Space on the Lattice
We find coordinates, the metric tensor, the inverse metric tensor and the
Laplace-Beltrami operator for the orbit space of Hamiltonian SU(2) gauge theory
on a finite, rectangular lattice. This is done using a complete axial gauge
fixing. The Gribov problem can be completely solved, with no remaining gauge
ambiguities.Comment: Title is changed in journal. Now 19 pages, still one figure, AMSTe
Polarization fluctuations in insulators and metals: New and old theories merge
The ground-state fluctuation of polarization P is finite in insulators and
divergent in metals, owing to the SWM sum rule [I. Souza, T. Wilkens, and R. M.
Martin, Phys. Rev. B 62, 1666 (2000)]. This is a virtue of periodic (i.e.
transverse) BCs. I show that within any other boundary conditions the P
fluctuation is finite even in metals, and a generalized sum rule applies. The
boundary-condition dependence is a pure correlation effect, not present at the
independent-particle level. In the longitudinal case div P = -rho, and one
equivalently addresses charge fluctuations: the generalized sum rule reduces
then to a well known result of many-body theory.Comment: 4 pages, no figur
Optical absorption and activated transport in polaronic systems
We present exact results for the optical response in the one-dimensional
Holstein model. In particular, by means of a refined kernel polynomial method,
we calculate the ac and dc electrical conductivities at finite temperatures for
a wide parameter range of electron phonon interaction. We analyze the
deviations from the results of standard small polaron theory in the
intermediate coupling regime and discuss non-adiabaticity effects in detail.Comment: 7 pages, 8 figure
London's limit for the lattice superconductor
A stability problem for the current state of the strong coupling
superconductor has been considered within the lattice Ginzburg-Landau model.
The critical current problem for a thin superconductor film is solved within
the London limit taking into account the crystal lattice symmetry. The current
dependence on the order parameter modulus is computed for the superconductor
film for various coupling parameter magnitudes. The field penetration problem
is shown to be described in this case by the one-dimensional sine-Gordon
equation. The field distribution around the vortex is described at the same
time by the two-dimensional elliptic sine-Gordon equation.Comment: 7 pages, 3 figures, Revtex4, mostly technical correction; extended
abstrac
Cumulative sum algorithms for automatic detection of gas well parameter changes
The problem of the change point detection in a sequence of random variables is considered. The task arises in control of technological processes, particularly, in oil and gas production management. Some equipment parameters are to be controlled in order to detect a change of the equipment characteristics and, consequently, a breakdown of its technological regime. As a rule, the data observed are stochastic with the unknown distribution
Comment on `Dynamical properties of small polarons'
We show that the conclusion on the breakdown of the standard small polaron
theory made recently by E.V. deMello and J. Ranninger (Phys. Rev. B 55, 14872
(1997)) is a result of an incorrect interpretation of the electronic and
vibronic energy levels of the two-site Holstein model. The small polaron
theory, when properly applied, agrees well with the numerical results of these
authors. Also we show that their attempt to connect the properties of the
calculated correlation functions with the features of the intersite electron
hopping is unsuccessful.Comment: To appear in Phys. Rev.
Automation of monitoring in gas producing company
Specific character of monitoring in gas producing company has been considered. Corporate geoinformation system «Magistral-Vostok» for controlling gas producing enterprises was suggested, the experience of this system introduction in «Vostokgasprom» was describe
- …