2维声学黑洞与1维流体的对应研究  

The Study of Correspondence Relationship between Two-dimensional Acoustic Black Hole and One-dimensional Fluid

作　　者：杨晓焕[1] 颜骏[1] 陈海霖[1] 余毅[1] YANG Xiaohuan YAN Jun CHEN Hailin YU Yi(College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610066, Sichuan)

机构地区：[1]四川师范大学物理与电子工程学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2016年第6期875-881,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅自然科学重点基金(11ZA100)

摘　　要：研究2维声学黑洞与1维流体的对应关系,在流体力学方程的基础上推导声学度规的表达式,获得了2维dilaton引力模型中的一些精确黑洞解.计算了1维流体中的能量密度ρ,速度ν和驱动势f,还分析和讨论了这些流体参量的物理性质.The correspondence relationship between two-dimensional black holes and one-dimensional fluid is studied in this paper.The expression of acoustic metric is derived according to the hydromechanics equations,and we obtain some exact black hole solutions in two-dimensional dilaton gravity model.Moreover,the energy density ρ,speed ν and drive potential f in one-dimension fluid are calculated and the physical properties of these fluid parameters are also analyzed and discussed.

关 键 词：2维引力 声学黑洞 引力-流体对应 

分 类 号：O351.2[理学—流体力学]