Statistical physics of the inflaton decaying in an inhomogeneous random environment
High Energy Physics - Theory
2018-07-25 v1
Abstract
We derive a stochastic wave equation for an inflaton in an environment of an infinite number of fields. We study solutions of the linearized stochastic evolution equation in an expanding universe. The Fokker-Planck equation for the inflaton probability distribution is derived. The relative entropy (free energy) of the stochastic wave is defined. The second law of thermodynamics for the diffusive system is obtained. Gaussian probability distributions are studied in detail.
Keywords
Cite
@article{arxiv.1807.00639,
title = {Statistical physics of the inflaton decaying in an inhomogeneous random environment},
author = {Z. Haba},
journal= {arXiv preprint arXiv:1807.00639},
year = {2018}
}
Comments
16 pages, to appear in a special issue of Advances in High Energy Physics