vorton过剩问题的Boltzmann处理
A Boltzmann treatment for the vorton excess problem
摘要：
我们推导并求解了一个玻尔兹曼方程，该方程控制着携带电流的宇宙弦环的数密度的宇宙学演化，其离心支撑的平衡构型也被称为涡旋。相空间是三维的，由时间变量、环的大小和一个守恒的量子数组成。我们的方法包括引力波发射，一个可能的有限寿命的涡旋和工程与任何初始环分布和任何环生产函数。然后，我们展示了我们的结果如何推广以前的方法上的vorton过剩问题，通过跟踪的时间演化的各种子群体的载流回路在一个字符串网络。
英文摘要：
We derive and solve a Boltzmann equation governing the cosmological evolution of the number density of current carrying cosmic string loops, whose centrifugally supported equilibrium configurations are also referred to as vortons. The phase space is three-dimensional and consists of the time variable, the loop size, and a conserved quantum number. Our approach includes gravitational wave emission, a possibly finite lifetime for the vortons and works with any initial loop distribution and for any loop production function. We then show how our results generalize previous approaches on the vorton excess problem by tracking down the time evolution of the various sub-populations of current-carrying loops in a string network.
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