论文标题
广义速度依赖于电流载体字符串的单尺度模型
Generalised velocity-dependent one-scale model for current-carrying strings
论文作者
论文摘要
我们开发了一个分析模型来定量描述超导宇宙弦网的演变。具体而言,我们将速度依赖性的一尺度(VOS)模型扩展到在两个主要假设下在宇宙弦世界上的任意电流和电荷,我们还讨论了其有效性。我们得出了用四个宏观参数来描述字符串网络演变的方程式:平均字符串分离(或者替代字符串相关长度)和均方根(RMS)速度,这些速度是VOS模型的基石,以及描述平均时间段和空间式电流贡献的参数。我们表明,我们的扩展描述再现了先前在文献中研究的摇摆和手性宇宙弦的特殊情况。该VOS模型可以调查超导宇宙字符串网络的进化和可能的观察性特征,以实现更一般的状态方程,并且这些机会将在同伴论文中被利用。
We develop an analytic model to quantitatively describe the evolution of superconducting cosmic string networks. Specifically, we extend the velocity-dependent one-scale (VOS) model to incorporate arbitrary currents and charges on cosmic string worldsheets under two main assumptions, the validity of which we also discuss. We derive equations that describe the string network evolution in terms of four macroscopic parameters: the mean string separation (or alternatively the string correlation length) and the root mean square (RMS) velocity which are the cornerstones of the VOS model, together with parameters describing the averaged timelike and spacelike current contributions. We show that our extended description reproduces the particular cases of wiggly and chiral cosmic strings, previously studied in the literature. This VOS model enables investigation of the evolution and possible observational signatures of superconducting cosmic string networks for more general equations of state, and these opportunities will be exploited in a companion paper.