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arXiv · 1808.07679

Warm inflation with a generalized Langevin equation scenario

Xi-Bin Li·Shi-Wei Yan·He Wang·Jian-Yang Zhu
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Abstract

In this paper, we discuss the warm inflation model with both a Langevin equation and a generalized Langevin equation scenario. As a brief picture to illustrate the basic properties of stochastic differential equation in warm inflation, this paper is started from a simple condition with constant dissipative coefficient. In this model, we prove the perturbed inflaton field exhibits a stationary process on large scale, so the perturbed field has a scale-invariant power spectrum. Then we study the warm inflation with a generalized Langevin equation scenario. The perturbed field in such model also shows a stationary process and the power spectrum is quite similar to the one in cold inflation. If choosing an appropriate fluctuation-dissipation relation, we can get a spectrum same as the cold inflation. In a word, we attempt to show the rationality of warm inflationary scenario via statistical physics method.

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Xi-Bin Li, Shi-Wei Yan, He Wang, Jian-Yang Zhu. 2018-08-23. Warm inflation with a generalized Langevin equation scenario. https://arxiv.org/abs/1808.07679

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