Stochastic inflation with coloured noise | Zendy

HeinzPeter Breuer | Zendy

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Stochastic inflation with coloured noise

Author(s) -

HeinzPeter Breuer

Publication year - 2006

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.2218187

Subject(s) - inflaton , white noise , noise (video) , inflation (cosmology) , stochastic process , statistical physics , stochastic differential equation , cutoff , stochastic resonance , physics , mathematics , computer science , statistics , theoretical physics , quantum mechanics , artificial intelligence , image (mathematics)

In most approaches to stochastic inflation the noise term driving the dynamics is taken to be a white noise process. This white noise is closely linked to a step-function cutoff used to coarse-grain the inflaton field. Taking a different cutoff naturally leads to a coloured noise process. We study the effect of coloured noise on the dynamics of the inflaton, in particular, the resulting probability distributions. Furthermore, the corresponding stochastic differential equation of the inflaton is solved in a perturbative way.

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