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arXiv 1405.6318hep-ph
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弱耦合非交换等离子体平衡态的探讨

Approach to equilibrium in weakly coupled nonabelian plasmas

Aleksi Kurkela, Egang Lu

摘要:

我们遵循时间演化的非阿贝尔规范玻色子从远离平衡的初始条件,热平衡的数值求解有效的动力学方程,成为准确的弱耦合限制。我们考虑的初始条件要么是高度过度占用,要么是高度不足。我们发现,过度占用的系统热化通过湍流级联达到平衡的热化时间$t\approx 72./ (1-0.12\log λ)/λ^2 T$的倍数,而未充分占用的系统进行“自下而上”热化的时间$t\approx (34. +21. \ln(Q/T))/ (1-0.037\log λ)(Q/T)^{1/2}/λ^2 T$,其中$Q$是初始条件的特征动量尺度。我们应用这一结果来模拟重离子碰撞的初始阶段,发现快速热化大致在时间$Qt \lesssim 10$或$t\lesssim 1$ fm/c。

英文摘要:

We follow the time evolution of nonabelian gauge bosons from far-from-equilibrium initial conditions to thermal equilibrium by numerically solving an effective kinetic equation that becomes accurate in the weak coupling limit. We consider initial conditions that are either highly overoccupied or underoccupied. We find that overoccupied systems thermalize through a turbulent cascade reaching equilibrium in multiples of a thermalization time $t\approx 72./ (1-0.12\log λ)/λ^2 T$, whereas underoccupied systems undergo a "bottom-up" thermalization in a time $t\approx (34. +21. \ln(Q/T))/ (1-0.037\log λ)(Q/T)^{1/2}/λ^2 T$, where $Q$ is the characteristic momentum scale of the initial condition. We apply this result to model initial stages of heavy-ion collisions and find rapid thermalization roughly in a time $Qt \lesssim 10$ or $t\lesssim 1$ fm/c.

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