Numerical investigation of two-dimensional Fokker-Planck equation in inflationary models: importance of slow-roll parameters

In this study, we generalize the Fokker-Planck equation to two-dimensional cases, including potential functions with periodic boundary conditions and piecewise-defined structures, to analyze the probability distribution in multi-field inflationary models. We employ the spectral method for spatial de...

Full description

Saved in:
Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2024-05, Vol.2024 (5), p.8
Main Authors: Hong, Deog Ki, Jiang, Jie, Yeom, Dong-han
Format: Article
Language:English
Subjects:
Boundary conditions
cosmological perturbation theory
Fokker-Planck equation
Mathematical models
Parameters
Probability distribution
quantum cosmology
Spectral methods
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, we generalize the Fokker-Planck equation to two-dimensional cases, including potential functions with periodic boundary conditions and piecewise-defined structures, to analyze the probability distribution in multi-field inflationary models. We employ the spectral method for spatial derivatives and the Crank-Nicolson method for the time evolution to solve the equation numerically for the slow-roll inflation. We find that the distribution in the Fokker-Planck equation was determined by the two-dimensional potential combined slow-roll parameters. And the volume weighting effect makes the distribution in the Fokker-Planck Volume equation is determined by the potential.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2024/05/008