We consider a modification of the well studied Hamiltonian Mean-Field model with cosine potential by introducing a hard-core point-like repulsive interaction and propose a numerical integration scheme to integrate its dynamics. Our results show that the outcome of the initial violent relaxation is altered, and also that the phase-diagram is modified with a critical temperature at a higher value than in its counterpart without hard-core collisions.

中文翻译：

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哈密​​顿平均场模型中的硬核碰撞动力学

我们考虑通过引入硬核点状排斥相互作用，对经过充分研究的具有余弦势的哈密顿平均场模型进行修改，并提出一种数值积分方案以对其动力学进行积分。我们的结果表明，初始剧烈弛豫的结果得到了改变，并且相图在临界温度下以比没有硬核碰撞时更高的临界温度进行了修改。