Chemical-reaction model for Mexican wave

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2003, vol. 323, issue C, 677-685

Abstract: We present a chemical-reaction model to describe the Mexican wave (La Ola) in football stadia. The spectator's action is described in terms of chemical reactions. The model is governed by three reaction rates k1,k2, and k3. We study the nonlinear waves on one- and two-dimensional lattices. The Mexican wave is formulated as a clockwise forwardly propagating wave. Waves are growing or disappear, depending on the values of reaction rates. In the specific case of k1=k2=k3=1, the nonlinear-wave equation produces a propagating pulse like soliton.

Keywords: Nonlinear wave; Chemical reaction; Chemical wave; Football; Crowd (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:323:y:2003:i:c:p:677-685

DOI: 10.1016/S0378-4371(03)00051-7

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