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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Kink dynamics in the MSTB model
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Kink dynamics in the MSTB model

机译：MSTB模型中的扭结动态

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In this paper kink scattering processes are investigated in the Montonen-Sarker-Trullinger-Bishop (MSTB) model. The MSTB model is in fact a one-parametric family of relativistic scalar field theories living in a one-time one-space Minkowski space-time which encompasses two coupled scalar fields. Among the static solutions of the model two kinds of topological kinks are distinguished in a precise range of the family parameter. In that regime there exists one unstable kink exhibiting only one non-null component of the scalar field. Another type of topological kink solutions, stable in this case, includes two different kinks for which the two components of the scalar field are non-null. Both one-component and two-component topological kinks are accompanied by their antikink partners. The decay of the unstable kink to one of the stable solutions plus radiation is numerically computed. The pair of stable two-component kinks living respectively on upper and lower semi-ellipses in the field space belongs to the same topological sector in the configuration space and provides an ideal playground to address several scattering events involving one kink and either its own antikink or the antikink of the other stable kink By means of numerical analysis we shall find and describe interesting physical phenomena. Bion (kink-antikink oscillations) formation, kink reflection, kink-antikink annihilation, kink transmutation and resonances are examples of these types of events. The appearance of these phenomena emerging in the kink-antikink scattering depends critically on the initial collision velocity and the chosen value of the coupling constant parametrizing the family of MSTB models.
机译：在本文中，在Montonen-Sarker-Trullinger-Bishop（MSTB）模型中研究了Kink散射过程。 MSTB模型实际上是一个参数分子的相对论标量域理论，生活在一次性空间Minkowski空间 - 包括两个耦合的标量场。在模型的静态解决方案中，两种拓扑扭结在家庭参数的精确范围内。在该制度中，存在一个不稳定的扭结，其展示了标量字段的一个非空组件。在这种情况下，另一种类型的拓扑扭结解决方案包括两个不同的扭结，标量场的两个组件是非空的。一个组件和双组分拓扑扭结都伴随着他们的抗视线伙伴。数值计算不稳定扭结到稳定解决方案中的一个稳定解决方案的衰减。分别在现场空间中的上半椭圆和下部半椭圆上的一对稳定的双组分扭结属于配置空间中的相同拓扑扇区，并提供理想的游乐场，以解决涉及一个扭结的几个散射事件和自己的抗励通过数值分析，另一个稳定的扭结的抗逆思想我们将找到并描述有趣的物理现象。牛（Kink-Antipkink振荡）形成，扭结，扭结，扭结湮灭，扭结嬗变和共振是这些类型的事件的示例。在Kink-Antikink散射中出现的这些现象的外观统治性地依赖于初始碰撞速度和耦合恒定参数的耦合恒定参数的所选值。

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