Size scaling of self gravitating polymers and strings
Size scaling of self gravitating polymers and strings
复制标题
自重力聚合物和弦的尺寸缩放
DOI：
10.1093/ptep/ptv165
复制
发表时间：
2015
影响因子：
3.5
通讯作者：
Toshihiro Matsuo
中科院分区：
文献类型：
--
作者：
Shoichi Kawamoto;Toshihiro Matsuo
我们研究具有自引力相互作用的单一聚合物的统计系综。这是引力弦的模型——黑洞的前身。我们通过平均场近似分析平均尺寸，使用有效的哈密顿量，如爱德华兹，具有牛顿势以及接触排斥相互作用。我们发现存在一定的缩放区域，其中吸引力和排斥力达到平衡。排斥相互作用将临界引力耦合推向更大的值，此时聚合物的尺寸与其史瓦西半径相当，结果，相应黑洞的尺寸显着增加。我们展示了不同维度的相图，阐明了尺寸如何随着排斥力和引力强度的变化而变化。
We study a statistical ensemble of a single polymer with self-gravitational interaction. This is a model of a gravitating string—the precursor of a black hole. We analyze averaged sizes by mean field approximations with an effective Hamiltonian à la Edwards with a Newtonian potential as well as a contact repulsive interaction. We find that there exists a certain scaling region where the attractive and repulsive forces balance out. The repulsive interaction pushes the critical gravitational coupling to a larger value, at which the size of a polymer becomes comparable to its Schwarzschild radius, and, as a result, the size of the corresponding black hole increases considerably. We show phase diagrams in various dimensions that clarify how the size changes as the strengths of the repulsive and gravitational forces vary.