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多重碎裂过程中的间歇性和分形

Intermittency and Fractals in Fragmenting Processes

  • 摘要: 为了深入理解中能重离子碰撞中多重碎裂的动力学机制,利用同位旋相关量子分子动力学模型,模拟了一组系统的中心碰撞过程,应用阶乘矩方法分别对反应末态和反应过程中所形成的初级碎块的分布进行了细致分析,结果显示:在相变特征最为明显的入射能区:1) 反应末态的碎块分布显示出多重分形特征;2) 在碰撞系统发生多重碎裂的阶段,初级碎块的分布对应间歇性指数达到最大值。对相似碰撞系统所做的同样分析表明,这些特征在中能多重碎裂反应中具有普遍性。本文所揭示出的新特征,有助于我们深刻理解中能重离子碰撞过程及多重碎裂的动力学机制,同时,通过对重离子碰撞这种高度非线性动力学过程的剖析,丰富了我们对非线性混沌的知识。

     

    Abstract: In order to understand more comprehensively the dynamical mechanism of the multifragmentation taking place in heavy ion collision at intermediate energies, in the present paper, with help of the factorial moment method, we analyze the concrete behaviors of intermittent chaos and fractal in the distributions of the fragments in the reaction final states and the primary fragments formed during the fragmentation process, by simulating some collisions within the framework of the isospin dependent quantum molecular dynamics model. Our results show that 1) the fluctuations of the distribution of these fragments multiplicity are multi-fractal rather than mono-fractal, and 2) the intermittent exponent reaches its maximum at the stage of the multi-fragmentation taking place during the collisions. The universality of these features is verified by studying the similar colliding systems with the same analysis method. These new features we have revealed here not only help us to deepen our understanding of the dynamic mechanism of the multifragmentation, but also enrich our knowledge of nonlinear dynamics.

     

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