论文标题
埃斯基龙在扭结互动中的出现
Emergence of oscillons in kink-impurity interactions
论文作者
论文摘要
（1+1） - 维度经典$φ^4 $理论包含稳定的拓扑激发，以孤立波或扭结的形式以及稳定但非培养的解决方案（例如Oscillon）。两者都用于整个物理学领域的有效描述激发。当在$φ^4 $理论中以Ansatz的身份引入ANSATZ时，Oscillon众所周知是一种连贯的粒子状解。在这里，我们表明，俄罗斯人也自然出现在理论的动力学中，尤其是在存在杂质的情况下扭结 - 安提奇克碰撞的结果。我们表明，除了扭结的散射和呼吸器的形成外，绑定的oscillon对和旋转支号都可能从碰撞中浮出水面。我们讨论了它们的共鸣和临界速度，这是杂质强度的函数，并强调了杂质在散射过程中所起的作用。
The (1+1)-dimensional classical $φ^4$ theory contains stable, topological excitations in the form of solitary waves or kinks, as well as stable but non-topological solutions, such as the oscillon. Both are used in effective descriptions of excitations throughout myriad fields of physics. The oscillon is well-known to be a coherent, particle-like solution when introduced as an Ansatz in the $φ^4$ theory. Here, we show that oscillons also arise naturally in the dynamics of the theory, in particular as the result of kink-antikink collisions in the presence of an impurity. We show that in addition to the scattering of kinks and the formation of a breather, both bound oscillon pairs and propagating oscillons may emerge from the collision. We discuss their resonances and critical velocity as a function of impurity strength and highlight the role played by the impurity in the scattering process.
