Stochastic inflation lattice simulations: Ultra-large scale structure of the universe

Conference · Thu Nov 01 04:00:00 EST 1990

OSTI ID:6163315

Salopek, D S

Non-Gaussian fluctuations for structure formation may arise in inflation from the nonlinear interaction of long wavelength gravitational and scalar fields. Long wavelength fields have spatial gradients {alpha}{sup {minus}1} {triangledown} small compared to the Hubble radius, and they are described in terms of classical random fields that are fed by short wavelength quantum noise. Lattice Langevin calculations are given for a toy model'' with a scalar field interacting with an exponential potential where one can obtain exact analytic solutions of the Fokker-Planck equation. For single scalar field models that are consistent with current microwave background fluctuations, the fluctuations are Gaussian. However, for scales much larger than our observable Universe, one expects large metric fluctuations that are non-Guassian. This example illuminates non-Gaussian models involving multiple scalar fields which are consistent with current microwave background limits. 21 refs., 3 figs.

• Research Organization: Fermi National Accelerator Lab., Batavia, IL (USA)
• Sponsoring Organization: DOE/ER; NASA
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 6163315
• Report Number(s): FNAL/C-90/240-A; CONF-9009325--3; ON: DE91006385; CNN: NAGW-1340
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
FLUCTUATIONS
FOKKER-PLANCK EQUATION
GRAVITATIONAL FIELDS
HAMILTON-JACOBI EQUATIONS
INFLATIONARY UNIVERSE
MATHEMATICAL MODELS
MICROWAVE RADIATION
NONLUMINOUS MATTER
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
RELICT RADIATION
STOCHASTIC PROCESSES
VARIATIONS