受约束库仑气体三级相变的普适性
Universality of the third-order phase transition in the constrained Coulomb gas
摘要：
一般维库仑气体系统的零温自由能被认为是体积约束的函数。“拉”和“推”阶段之间的过渡的特点是作为一个三阶相变，在所有的维度和一个相当大的类的各向同性的潜力。这表明自由能在“拉到推”转变时的临界行为可能是普遍的，即，在某种程度上独立于成对相互作用的维度和细节。
英文摘要：
The free energy at zero temperature of Coulomb gas systems in generic dimension is considered as a function of a volume constraint. The transition between the 'pulled' and the 'pushed' phases is characterised as a third-order phase transition, in all dimensions and for a rather large class of isotropic potentials. This suggests that the critical behaviour of the free energy at the 'pulled-to-pushed' transition may be universal, i.e., to some extent independent of the dimension and the details of the pairwise interaction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
