Search results for "statistical [methods]"

Electron dynamical response in InP semiconductors driven by fluctuating electric fields

2015

Abstract The complexity of electron dynamics in low-doped n-type InP crystals operating under fluctuating electric fields is deeply explored and discussed. In this study, we employ a multi-particle Monte Carlo approach to simulate the non-linear transport of electrons inside the semiconductor bulk. All possible scattering events of hot electrons in the medium, the main details of the band structure, as well as the heating effects, are taken into account. The results presented in this study derive from numerical simulations of the electron dynamical response to the application of a sub-Thz electric field, fluctuating for the superimposition of an external source of Gaussian correlated noise.…

Nonequilibrium statistical mechanics of dilute relativistic plasmas

2005

Statistical Mechanics of the Sine-Gordon Equation

1986

We give two fundamental methods for evaluation of classical free energies of all the integrable models admitting soliton solutions; the sine-Gordon equation is one example. Periodic boundary conditions impose integral equations for allowed phonon and soliton momenta. From these, generalized Bethe-Ansatz and functional-integration methods using action-angle variables follow. Results for free energies coincide, and coincide with those that we find by transfer-integral methods. Extension to the quantum case, and quantum Bethe Ansatz, on the lines to be reported elsewhere for the sinh-Gordon equation, is indicated.

Determination of the stochastic evolution equation from noisy experimental data

2003

We have determined the coefficients of the Kardar-Parisi-Zhang equation as functions of coarse graining, which best describe the time evolution and spatial behavior observed for slow-combustion fronts in sheets of paper and magnetic flux fronts in a thin-film high-Tc superconductor. Reconstruction of the relevant equation of motion and its coefficients was mainly based on the inverse method proposed by Lam and Sander [Phys. Rev. Lett. 71, 561 (1993)]. The coefficient of the nonlinear term was also determined from the local slope-dependence of the front velocity.

Statistical quantities in particle collisions

1972

Abstract Statistical quantities for particle collisions are defined using the analogy between the phase-space integral in multiparticle collisions and that in relativistic quantum statistical mechanics. The analogs of thermodynamic quantities are computed for the uncorrelated jet model. A relativistic derivation for the mass spectrum of hadrons is given and thermodynamic quantities are calculated for a system with this spectrum.

Applicability Of The Hauser-Feshbach Approach For The Determination of Astrophysical Reaction Rates

1996

Nuclear Astrophysics requires the knowledge of reaction rates over a wide range of nuclei and temperatures. In recent calculations the nuclear level density - as an important ingredient to the statistical model (Hauser-Feshbach) - has shown the highest uncertainties. In a back-shifted Fermi-gas formalism utilizing an energy-dependent level density parameter and employing microscopic corrections from a recent FRDM mass formula, we obtain a highly improved fit to experimental level densities. The resulting level density is used for determining criteria for the applicability of the statistical model on neutron-induced reactions.

Dynamical selection rules in p annihilation at rest

1993

Abstract The branching ratios for p p annihilation at rest into two mesons show the existence of dynamical selection rules. The ratios for some annihilation modes are small even though much larger rates should be expected on the basis of statistical models. Dynamical selection rules are observed in annihilations in which strange mesons are produced, and in annihilations into two isovector mesons. The selection rules seem - to first order - not to depend on the spins or orbital angular momenta of the p p atom or of the two mesons produced. This observation suggests an underlying symmetry. It is argued that this symmetry is SU(3).

Likelihood approach to the first dark matter results from XENON100

2011

Many experiments that aim at the direct detection of Dark Matter are able to distinguish a dominant background from the expected feeble signals, based on some measured discrimination parameter. We develop a statistical model for such experiments using the Profile Likelihood ratio as a test statistic in a frequentist approach. We take data from calibrations as control measurements for signal and background, and the method allows the inclusion of data from Monte Carlo simulations. Systematic detector uncertainties, such as uncertainties in the energy scale, as well as astrophysical uncertainties, are included in the model. The statistical model can be used to either set an exclusion limit or …

On the variational approach to Jastrow correlations in nuclei

1973

The variational equation determining the Jastrow correlation function is investigated with particular emphasis on the healing problem for both nuclear matter and finite nuclei. The consequences of several healing conditions are discussed. Furthermore, influences from the choice of the single particle basis and from long range correlations are studied and are found to be small in the short range region.

Two-particle correlations in 400 GeV proton-nucleus interactions

1980

Two-particle inclusive correlations are studied by means of the two-particle rapidity correlation function. The data for the analysis come from an exposure of emulsion plates to a 400 GeV proton beam at FNAL. Predominant short-range correlations among shower particles are found, but this does not allow to exclude some long-range correlation behaviour, in agreement with the results obtained in lower-energy experiments.