440 research outputs found
Spartan Random Processes in Time Series Modeling
A Spartan random process (SRP) is used to estimate the correlation structure
of time series and to predict (extrapolate) the data values. SRP's are
motivated from statistical physics, and they can be viewed as Ginzburg-Landau
models. The temporal correlations of the SRP are modeled in terms of
`interactions' between the field values. Model parameter inference employs the
computationally fast modified method of moments, which is based on matching
sample energy moments with the respective stochastic constraints. The
parameters thus inferred are then compared with those obtained by means of the
maximum likelihood method. The performance of the Spartan predictor (SP) is
investigated using real time series of the quarterly S&P 500 index. SP
prediction errors are compared with those of the Kolmogorov-Wiener predictor.
Two predictors, one of which explicit, are derived and used for extrapolation.
The performance of the predictors is similarly evaluated.Comment: 10 pages, 3 figures, Proceedings of APFA
Vortex phase transformations probed by the local ac response of Bi_{2}Sr_{2}CaCu_{2}O_{8+\delta} single crystals with various doping
The linear ac response of the vortex system is measured locally in Bi-2212
single crystals at various doping, using a miniature two-coil mutual-inductance
technique. It was found that a step-like change in the local ac response takes
place exactly at the first-order transition (FOT) temperature T_{FOT}(H)
determined by a global dc magnetization measurement. The T_{FOT}(H) line in the
H-T phase diagram becomes steeper with increasing doping. In the higher-field
region where the FOT is not observed, the local ac response still shows a
broadened but distinct feature, which can be interpreted to mark the growth of
a short-range order in the vortex system.Comment: 4 pages, including 5 eps figure
Interstitials, Vacancies and Dislocations in Flux-Line Lattices: A Theory of Vortex Crystals, Supersolids and Liquids
We study a three dimensional Abrikosov vortex lattice in the presence of an
equilibrium concentration of vacancy, interstitial and dislocation loops.
Vacancies and interstitials renormalize the long-wavelength bulk and tilt
elastic moduli. Dislocation loops lead to the vanishing of the long-wavelength
shear modulus. The coupling to vacancies and interstitials - which are always
present in the liquid state - allows dislocations to relax stresses by climbing
out of their glide plane. Surprisingly, this mechanism does not yield any
further independent renormalization of the tilt and compressional moduli at
long wavelengths. The long wavelength properties of the resulting state are
formally identical to that of the ``flux-line hexatic'' that is a candidate
``normal'' hexatically ordered vortex liquid state.Comment: 21 RevTeX pgs, 7 eps figures uuencoded; corrected typos, published
versio
Spin dynamics simulations of the magnetic dynamics of RbMnF and direct comparison with experiment
Spin-dynamics techniques have been used to perform large-scale simulations of
the dynamic behavior of the classical Heisenberg antiferromagnet in simple
cubic lattices with linear sizes . This system is widely recognized
as an appropriate model for the magnetic properties of RbMnF.
Time-evolutions of spin configurations were determined numerically from coupled
equations of motion for individual spins using a new algorithm implemented by
Krech {\it etal}, which is based on fourth-order Suzuki-Trotter decompositions
of exponential operators. The dynamic structure factor was calculated from the
space- and time-displaced spin-spin correlation function. The crossover from
hydrodynamic to critical behavior of the dispersion curve and spin-wave
half-width was studied as the temperature was increased towards the critical
temperature. The dynamic critical exponent was estimated to be , which is slightly lower than the dynamic scaling prediction, but in
good agreement with a recent experimental value. Direct, quantitative
comparisons of both the dispersion curve and the lineshapes obtained from our
simulations with very recent experimental results for RbMnF are presented.Comment: 30 pages, RevTex, 9 figures, to appear in PR
Numerical study of duality and universality in a frozen superconductor
The three-dimensional integer-valued lattice gauge theory, which is also
known as a "frozen superconductor," can be obtained as a certain limit of the
Ginzburg-Landau theory of superconductivity, and is believed to be in the same
universality class. It is also exactly dual to the three-dimensional XY model.
We use this duality to demonstrate the practicality of recently developed
methods for studying topological defects, and investigate the critical behavior
of the phase transition using numerical Monte Carlo simulations of both
theories. On the gauge theory side, we concentrate on the vortex tension and
the penetration depth, which map onto the correlation lengths of the order
parameter and the Noether current in the XY model, respectively. We show how
these quantities behave near the critical point, and that the penetration depth
exhibits critical scaling only very close to the transition point. This may
explain the failure of superconductor experiments to see the inverted XY model
scaling.Comment: 17 pages, 18 figures. Updated to match the version published in PRB
(http://link.aps.org/abstract/PRB/v67/e014525) on 27 Jan 200
Critical structure factor in Ising systems
We perform a large-scale Monte Carlo simulation of the three-dimensional
Ising model on simple cubic lattices of size L^3 with L=128 and 256. We
determine the corresponding structure factor (Fourier transform of the
two-point function) and compare it with several approximations and with
experimental results. We also compute the turbidity as a function of the
momentum of the incoming radiation, focusing in particular on the deviations
from the Ornstein-Zernicke expression of Puglielli and Ford.Comment: 16 page
On the merit of a Central Limit Theorem-based approximation in statistical physics
The applicability conditions of a recently reported Central Limit
Theorem-based approximation method in statistical physics are investigated and
rigorously determined. The failure of this method at low and intermediate
temperature is proved as well as its inadequacy to disclose quantum
criticalities at fixed temperatures. Its high temperature predictions are in
addition shown to coincide with those stemming from straightforward appropriate
expansions up to (k_B T)^(-2). Our results are clearly illustrated by comparing
the exact and approximate temperature dependence of the free energy of some
exemplary physical systems.Comment: 12 pages, 1 figur
Vortex Lattice Melting into Disentangled Liquid Followed by the 3D-2D Decoupling Transition in YBa_2Cu_4O_8 Single Crystals
A sharp resistance drop associated with vortex lattice melting was observed
in high quality YBa_2Cu_4O_8 single crystals. The melting line is well
described well by the anisotropic GL theory. Two thermally activated flux flow
regions, which were separated by a crossover line B_cr=1406.5(1-T/T_c)/T
(T_c=79.0 K, B_cr in T), were observed in the vortex liquid phase. Activation
energy for each region was obtained and the corresponding dissipation mechanism
was discussed. Our results suggest that the vortex lattice in YBa_2Cu_4O_8
single crystal melts into disentangled liquid, which then undergoes a 3D-2D
decoupling transition.Comment: 5 pages, 4 eps figures, RevTex (Latex2.09
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BPA uptake in rat tissues after partial hepatectomy
In boron neutron capture therapy (BNCT), boron given as boronophenylalanine (BPA) accumulates transiently not only in tumors but also in normal tissues. Average boron concentrations in transplanted 9L gliosarcoma tumors of 20 rats were 2.5 to 3.7 times concentrations found in blood. Although boron levels in a variety of tissues were also higher than blood the concentrations were less than the lowest found in the tumor. Further note than although BPA is a structural analogue of phenylalanine (Phe), the pathway of BPA uptake into regenerating liver may not be linked to Phe uptake mechanisms
Effects of Pore Walls and Randomness on Phase Transitions in Porous Media
We study spin models within the mean field approximation to elucidate the
topology of the phase diagrams of systems modeling the liquid-vapor transition
and the separation of He--He mixtures in periodic porous media. These
topologies are found to be identical to those of the corresponding random field
and random anisotropy spin systems with a bimodal distribution of the
randomness. Our results suggest that the presence of walls (periodic or
otherwise) are a key factor determining the nature of the phase diagram in
porous media.Comment: REVTeX, 11 eps figures, to appear in Phys. Rev.
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