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arXiv 1902.01017gr-qc
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多场温暴胀的谱和熵

Spectra and entropy of multi-field warm inflation

Xi-Bin Li, Xiao-Gang Zheng, Jian-Yang Zhu

摘要:

本文研究了正则条件下由多维随机微分方程描述的两场暖暴胀情形的功率谱和熵。通过第二类Volterra积分方程解析地计算了场扰动,在此基础上,我们得到了具有首阶和一阶慢滚参数的谱。我们还发现,背景的演化不是独立的,而是依赖于耗散系数,这与冷暴胀中的背景演化不同。然后,根据统计物理理论,通过引入熵矩阵,计算了熵。在超视界尺度上,熵矩阵遵循与谱的尺度不变性或场扰动的平稳性相一致的涨落-耗散关系。熵扰动在超视界和亚视界尺度下均消失,而在特定的视界尺度下产生窄峰。此外,热力学第二定律也被遵守。

英文摘要:

We study the power spectra and entropy of two-field warm inflationary scenario with canonical condition which is described by many-dimensional stochastic differential equations. The field perturbations are analytically calculated via a Volterra integral equation of the second kind, based on which we obtain a spectra with leading order and first order of slow-roll parameters. We also find the evolutions of background are not independent but relying on dissipative coefficients, which is distinguished from that in cold inflation. Then, we calculate the entropy on the basis of statistical physics theory by introducing an entropy matrix. On super-horizon scale, the entropy matrix follows the fluctuation-dissipation relation consistent with the scale-invariance of spectra or the stationarity of field perturbations. The entropy perturbation vanishes at both super-horizon and sub-horizon scale, while narrow peaks generate at a specific scale which could be considered as horizon. In addition, the second law of thermodynamics is followed as well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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