长程相互作用下费米系统中的团簇形成
Cluster formation in the Fermi system with long-range interaction
摘要：
本文用统计方法描述了长程相互作用费米粒子系统中可能形成的空间非均匀分布，并给出了这种情况下配分函数的非微扰计算。结果表明，粒子与有吸引力的$1/r$势相互作用形成团簇。如果假设两个粒子的平均相互作用能远小于它们的平均动能$kT$，那么团簇就是平衡结构。指出了自引力气体与等离子体的相似性。用流体力学和统计方法研究了团簇形成的动力学过程，得到了团簇弛豫到平衡态的时间。
英文摘要：
Based on statistical approach we described possible formation of spatially inhomogeneous distribution in the system of interacting Fermi particles by long-rage forces, and we demonstrated nonperturbative calculation of the partition function in this case. It was shown, that particles interacting with an attractive $1/r$ potential form clusters. Cluster is equilibrium structure, if we suppose that average energy of interaction of two particles is much less than their average kinetic energy $kT$. The analogy between self-gravitation gas and plasma was shown. The dynamics of cluster formation was considered with help hydrodynamical and statistical approaches, and time of relaxation to equilibrium state was found.
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