Stochastic inflation beyond slow roll: noise modelling and importance sampling

被引：2

作者：

Jackson, Joseph H. P. ^{[1
]}

Assadullahi, Hooshyar ^{[1
,2
]}

Gow, Andrew D. ^{[1
]}

Koyama, Kazuya ^{[1
]}

Vennin, Vincent ^{[1
,3
]}

Wands, David ^{[1
]}

机构：

[1] Univ Portsmouth, Inst Cosmol & Gravitat, Dennis Sciama Bldg,Burnaby Rd, Portsmouth PO1 3FX, England

[2] Univ Portsmouth, Sch Math & Phys, Lion Gate Bldg,Lion Terrace, Portsmouth PO1 3HF, England

[3] Sorbonne Univ, Univ PSL, Univ Paris Cite, Lab Phys Ecole Normale Super,ENS,CNRS, F-75005 Paris, France

来源：

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2025年 / 04期

基金：

英国科学技术设施理事会;

关键词：

inflation; physics of the early universe; primordial black holes; Statistical sampling techniques; COSMOLOGICAL PERTURBATIONS; DENSITY PERTURBATIONS; UNIVERSE SCENARIO; PHASE-TRANSITION; DYNAMICS; HORIZON; FLUCTUATIONS; GENERATION; EXPANSION; SPECTRUM;

D O I：

10.1088/1475-7516/2025/04/073

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We simulate the distribution of very rare, large excursions in the primordial density field produced in models of inflation in the very early universe which include a strong enhancement of the power spectrum. The stochastic delta N formalism is used to identify the probability distribution for the primordial curvature perturbation with the first-passage-time distribution, P(delta N), and we compare our stochastic results with those obtained in the classical delta N approach. We extend the PYFPT numerical code to simulate the full 2D phase space, and apply importance sampling which allows very rare fluctuations to be simulated in O (10) minutes on a single CPU, where previous direct simulations required supercomputers. We demonstrate that the stochastic noise due to quantum fluctuations after a sudden transition to ultra-slow roll can be accurately modelled using an analytical Bessel-function ansatz to identify the homogeneous growing mode. The stochastic noise found in this way is a function of the field value only. This enables us to coarse grain the inflation field at the Hubble scale and include non-linear, stochastic evolution on all super-Hubble length scales.

引用

页数：31

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