Theory of two-dimensional oblique dispersive shock waves in supersonic flow of a superfluid

被引：16

作者：

Hoefer, M. A. ^{[1
]}

Ilan, B. ^{[2
]}

机构：

[1] Columbia Univ, Dept Appl Phys & Appl Math, New York, NY 10027 USA

[2] Univ Calif, Sch Nat Sci, Merced, CA 95343 USA

来源：

PHYSICAL REVIEW A | 2009年 / 80卷 / 06期

基金：

美国国家科学基金会;

关键词：

PROPAGATION; PULSES;

D O I：

10.1103/PhysRevA.80.061601

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Dispersive shock waves (DSWs) are studied theoretically in the context of two-dimensional (2D) supersonic flow of a superfluid. Employing Whitham averaging theory for the repulsive Gross-Pitaevskii (GP) equation, suitable jump and entropy conditions are obtained for an oblique DSW, a fundamental building block for 2D flows with boundaries. In analogy to oblique viscous shock waves (VSWs), these conditions yield analytic relations between Mach number (M), velocity deflection angle (theta), and wave angle (beta). Unlike VSWs, the M-theta-beta phase diagram for DSWs displays four distinct regions associated with phase transitions in supersonic flow over a corner which are predicted and verified by numerical computations of the GP equation. Quasistationary DSWs, shock detachment due to transonic flow, spontaneous excitation of vortices, and the onset of turbulent dynamics associated with cavitation of the superfluid are observed.

引用

页数：4

共 32 条

[1]

[Anonymous], 1982, J FLUID ENG-T ASME

[2]

Boyd R. W., 1991, NONLINEAR OPTICS, DOI DOI 10.1007/BF00331812

[3] Bogoliubov-Cerenkov radiation in a Bose-Einstein condensate flowing against an obstacle [J].

Carusotto, I. ;

Hu, S. X. ;

Collins, L. A. ;

Smerzi, A. .

PHYSICAL REVIEW LETTERS, 2006, 97 (26)

[4] Formation of Dispersive Shock Waves by Merging and Splitting Bose-Einstein Condensates [J].

Chang, J. J. ;

Engels, P. ;

Hoefer, M. A. .

PHYSICAL REVIEW LETTERS, 2008, 101 (17)

[5] Bogoliubov dispersion relation for a 'photon fluid': Is this a superfluid? [J].

Chiao, RY .

OPTICS COMMUNICATIONS, 2000, 179 (1-6) :157-166

[6] Observation of a Gradient Catastrophe Generating Solitons [J].

Conti, Claudio ;

Fratalocchi, Andrea ;

Peccianti, Marco ;

Ruocco, Giancarlo ;

Trillo, Stefano .

PHYSICAL REVIEW LETTERS, 2009, 102 (08)

[7] Deflecting dams and the formation of oblique shocks in snow avalanches at Flateyri, Iceland [J].

Cui, X. ;

Gray, J. M. N. T. ;

Johannesson, T. .

JOURNAL OF GEOPHYSICAL RESEARCH-EARTH SURFACE, 2007, 112 (F4)

[8] Observation of quantum shock waves created with ultra-compressed slow light pulses in a Bose-Einstein condensate [J].

Dutton, Z ;

Budde, M ;

Slowe, C ;

Hau, LV .

SCIENCE, 2001, 293 (5530) :663-668

[9] Oblique dark solitons in supersonic flow of a Bose-Einstein condensate [J].

El, G. A. ;

Gammal, A. ;

Kamchatnov, A. M. .

PHYSICAL REVIEW LETTERS, 2006, 97 (18)

[10] Two-dimensional supersonic nonlinear Schrodinger flow past an extended obstacle [J].

El, G. A. ;

Kamchatnov, A. M. ;

Khodorovskii, V. V. ;

Annibale, E. S. ;

Gammal, A. .

PHYSICAL REVIEW E, 2009, 80 (04)

← 1 2 3 4 →