Microlensing in phase space II: Correlations analysis

Abstract

Applications of the phase space approach to the calculation of the microlensing autocorrelation function are presented. The continuous propagation equation for a random star field with a Gaussian velocity distribution is solved in the leading non-trivial approximation using the perturbation technique. It is shown that microlensing modulations can be important in the interpretation of optical and shorter-wavelength light curves of pulsars, power spectra of active galactic nuclei and coherence estimates for quasi-periodic oscillations of dwarf novae and low-mass X-ray binaries. Extra scatter in the brightness of type Ia supernovae due to gravitational microlensing is shown to be of order up to 0.2 stellar magnitudes depending on the extent of the light curves.

Accepted for publication in MNRAS. 17 pages, 8 figures. The first part of this little series is available at http://www.arxiv.org/abs/astro-ph/0604302 . Replaced to add a link to the first part

References in corpus (27)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Cosmological Results from High-z Supernovae
• The MACHO Project: Microlensing Results from 5.7 Years of LMC Observations
• Black Holes
• Interstellar Turbulence II: Implications and Effects
• Long-term optical variability properties of the Palomar-Green quasars
• Direct Detection of Galactic Halo Dark Matter
• Stellar Contribution to the Galactic Bulge Microlensing Optical Depth
• A Cutoff in the X-ray Fluctuation Power Density Spectrum of the Seyfert 1 Galaxy NGC 3516
• A Determination of the Local Density of White Dwarf Stars
• Safety in numbers: Gravitational Lensing Degradation of the Luminosity Distance-Redshift Relation
• Structure Function Analysis of Long Term Quasar Variability
• Rapid Oscillations in Cataclysmic Variables
• Correlation of the Quasi-Periodic Oscillation Frequencies of White Dwarf, Neutron Star, and Black Hole Binaries
• The Nearby Supernova Factory
• The Peculiar Velocity Function of Galaxy Clusters
• The variability properties of X-ray steep and X-ray flat quasars
• Correcting for lensing bias in the Hubble diagram
• Can Microlensing Explain the Long-Term Optical Variability of Quasars?
• Models of Quasi-Periodic Variability in Neutron Stars and Black Holes
• The Microarcsecond Sky and Cosmic Turbulence
• QPOs in Cataclysmic Variables and in X-ray Binaries
• Microlensing signature of a white dwarf population in the galactic halo