2011/05/17 by Vladimir G. Ivancevic, Ivancevic, Vladimir G., Darryn J. Reid +1
Earth and Planetary Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Cold Atom Physics and Bose-Einstein Condensates #Complex Systems and Time Series Analysis #FOS: Physical sciences #Meteorological Phenomena and Simulations #nlin.AO
paper · pdf · doi:10.48550/arxiv.1105.3274
29 pages, 5 figures, Latex. arXiv admin note: substantial text overlap with arXiv:0901.4600 by other author
arxiv created 2011/05/17 · openalex publication_date 2011/05/17 · arxiv updated 2012/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we analyze crowd turbulence from both classical and quantum perspective. We analyze various crowd waves and collisions using crowd macroscopic wave function. In particular, we will show that nonlinear Schrödinger (NLS) equation is fundamental for quantum turbulence, while its closed-form solutions include shock-waves, solitons and rogue waves, as well as planar de Broglie's waves. We start by modeling various crowd flows using classical fluid dynamics, based on Navier-Stokes equations. Then, we model turbulent crowd flows using quantum turbulence in Bose-Einstein condensation, based on modified NLS equation. Keywords: Crowd behavior dynamics, classical and quantum turbulence, shock waves, solitons and rogue waves