arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 1006.1124nucl-th
收藏

相对论性Kadanoff-Baym方程的熵流和具有$1/N$展开的NLO自能的$O(N)$理论中的H定理

Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion

A. Nishiyama, A. Ohnishi

备注：
13 pages, 4 figures
发表信息：
Prog. Theor. Phys. 126: 249-267,2011
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

本文从Schwinger-Dyson（Kadanoff-Baym）方程出发，采用一阶梯度展开，导出了非平衡$O(N)$标量理论中的动力学熵流表达式。我们表明，我们的动力学熵满足H-定理的领先阶的梯度膨胀与次领先阶的自能的$1/N$膨胀在对称相，和熵产生的格林函数的演变与非零碰撞项。熵的产生在局部热平衡时停止，此时碰撞项贡献消失，熵达到最大。其次，我们还比较了我们的熵密度与由热力学势或等效的2粒子不可约有效作用量给出的热平衡中的熵密度。我们发现，我们的熵密度对应于在热平衡下的下一个到领先的顺序骨架的$1/N$膨胀，如果骨架的动量积分中的能量守恒可以适当地正则化。我们有一个可能性，记忆校正项保持在熵流，如果不正规化。

英文摘要：

We derive an expression of the kinetic entropy current in the nonequilibrium $O(N)$ scalar theory from the Schwinger-Dyson (Kadanoff-Baym) equation with the 1st order gradient expansion. We show that our kinetic entropy satisfies the H-theorem for the leading order of the gradient expansion with the next-to-leading order self-energy of the $1/N$ expansion in the symmetric phase, and that entropy production occurs as the Green's function evolves with an nonzero collision term. Entropy production stops at local thermal equilibrium where the collision term contribution vanishes and the maximal entropy state is realized. Next we also compare our entropy density with that in thermal equilibrium which is given from thermodynamic potential or equivalently 2 particle irreducible effective action. We find that our entropy density corresponds to that in thermal equilibrium with the next-to-leading order skeletons of the $1/N$ expansion if skeletons with energy denominators in momentum integral can be regularized appropriately. We have a possibility that memory correction terms remain in entropy current if not regularized.

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。

↑