Fine-tuning solution for hybrid inflation in dissipative chaotic dynamics

Fine-tuning solution for hybrid inflation in dissipative chaotic dynamics
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耗散混沌动力学中混合膨胀的微调解决方案

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发表时间:
2001
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通讯作者:
R. O. Ramos
R. O. Ramos
中科院分区:
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作者:
R. O. Ramos

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研究了混合暴胀模型在暴胀前阶段相空间中混沌行为的存在性。这与这些暴胀类型模型的初始条件问题密切相关。然后,我们将展示如何预期的耗散动力学的领域开始之前的通货膨胀可以解决或大大缓解的问题的初始条件,自然地推动系统走向通货膨胀。通过计算相空间边界的分形维数,研究了相应动力系统的混沌行为。该边界的分形维数被确定为耗散系数的函数出现在有效的运动方程的字段。
We study the presence of chaotic behavior in phase space in the preinflationary stage of hybrid inflation models. This is closely related to the problem of initial conditions associated with these inflationary types of model. We then show how an expected dissipative dynamics of fields just before the onset of inflation can solve or ease considerably the problem of initial conditions, driving the system naturally toward inflation. The chaotic behavior of the corresponding dynamical system is studied by computation of the fractal dimension of the boundary in phase space separating inflationary from noninflationary trajectories. The fractal dimension for this boundary is determined as a function of the dissipation coefficients appearing in the effective equations of motion for the fields.