早期宇宙中的慢发电机和地磁磁场的衰减
Slow dynamos and decay of monopole magnetic fields in the early Universe
摘要：
Liao和Shuryak [ \textbf{Phys. Rev C (2008)} ]以前研究了夸克QCD等离子体中的电通量管，其中磁场在夸克QCD等离子体中是非螺线管的。本文在等离子体中得到了扩散等离子体[{ \textbf{Phys. Plasmas \textbf{15} (2008)} }]细丝（细管）中的慢发电机。在没有扩散的情况下，早期宇宙中的磁场会衰减。在磁单极子存在的耗散大尺度发电机中，挠率是高度混沌的。磁场由Heaviside阶跃函数给出，以表示发电机灯丝的非均匀拉伸。这些结果是在结条件之外获得的。Lewis等人[ \textbf{Phys Rev D (2000)} ]利用发电机作用和磁通之间的争论，发现了磁通的严格限制。由于磁单极子流与发电机作用存在争议，因此在最佳假设中，它们的存在导致发电机作用缓慢或磁场衰减似乎是合理的。Hindmarsh等人计算了早期宇宙中的磁能衰减为${E}_{M}\approx{t^{-0.5}}$，而在我们的慢发电机情况下，由于磁单极子的存在，增长率的线性化导致磁能变化为$δ{E}_{M}\approx{t}$。采用DaRios涡丝方程对等离子体涡丝的几何形状进行约束。
英文摘要：
Previously Liao and Shuryak [\textbf{Phys. Rev C (2008)}] have investigated electrical flux tubes in monopole plasmas, where magnetic fields are non-solenoidal in quark-QCD plasmas. In this paper slow dynamos in diffusive plasma [{\textbf{Phys. Plasmas \textbf{15} (2008)}}] filaments (thin tubes) are obtained in the case of monopole plasmas. In the absence of diffusion the magnetic field decays in the Early Universe. The torsion is highly chaotic in dissipative large scale dynamos in the presence of magnetic monopoles. The magnetic field is given by the Heaviside step function in order to represent the non-uniform stretching of the dynamo filament. These results are obtained outside the junction condition. Stringent limits to the monopole flux were found by Lewis et al [\textbf{Phys Rev D (2000)}] by using the dispute between the dynamo action and monopole flux. Since magnetic monopoles flow dispute the dynamo action, it seems reasonable that their presence leads to a slow dynamo action in the best hypothesis or a decay of the magnetic field. Hindmarsh et al have computed the magnetic energy decay in the early universe as ${E}_{M}\approx{t^{-0.5}}$, while in our slow dynamo case linearization of the growth rate leads to a variation od magnetic energy of $δ{E}_{M}\approx{t}$, due to the presence of magnetic monopoles. Da Rios equations of vortex filaments are used to place constraints on the geometry of monopole plasma filaments.
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