Abstract
The symmetry analysis method based on the theory of group representations is used for description of complex systems and their behavior in this work. The first trial of using the symmetry analysis in modeling of behavior of complex social system is presented. The evacuation of large building scenarios are discussed as transition from chaotic to ordered states, described as movements of individuals according to fields of displacements, calculated correspondingly to given scenario. The symmetry of the evacuation space is taken into account in calculation of displacements field - the displacements related to every point of this space are presented in the coordinate frame in the best way adapted to given symmetry space group, which is the set of basic vectors of irreducible representation of given symmetry group.. The results obtained with using the symmetry consideration are compared with corresponding results calculated under assumption of shortest way to exits (Voronoi assumption).
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References
Izyumov, Y.A., Syromyatnikov, V.N.: Phase Transitions and Crystal Symmetry, ch. 2. Kluwer Academic Publishers, Dordrecht (1990)
Sikora, W., et al.: J. Appl. Cryst. 37, 1015–1019 (2004)
Kovalev, O.V.: Representations of the Crystallographic Space Groups. In: Stokes, H.T., Hatch, D.M. (eds.). Gordon & Breach, London (1993)
Sikora, W., Malinowski, J.: Symmetry analysis in parametrization of complex systems. In: The Tenth International School on Theoretical Physics, SSPCM 2009, Myczkowce, Poland (2009)
Helbing, D., et al.: Simulating dynamical features of escape panic. Nature 407, 487 (2000)
Sikora, W., Malinowski, J., Figiel, H.: J. Alloys Compd., 446–447, 423-428 (2007), doi:10.1016/j.jallcom.2006.12.092
Sikora, W., Kuna, A.: Acta Physica Polonica A 113, 1211–1224 (2008)
Fischer, P., Pomjakushin, V., Keller, L., Daoud-Aladine, A., Sikora, W., Domman, A., Hulliger, F.: Phys. Rev. B 72, 134–413 (2005)
Sikora, W., Pytlik, L., Bialas, F., Malinowski, J.: J. Alloys Compd. 442, 61–69 (2007), doi:10.1016/j.jallcom.2006.08.34
Sikora, W., Malinowski, J., Kuna, A., Pytlik, L.: Journal of Physics: Conference Series 1004 012023 (2008), doi:10.1088/1742-6596/104/012023
Wigner, E.P.: Group Theory and its Application to the Quantum Mechanics of Atomic Spectra. Academic Press, New York (1959)
Lubarski, G.J.: Teoria grup i jej zastosowania w fizyce. PWN, Warszawa (1961)
Cracknell, A.P.: Applied Group Theory. Pergamon Press, Oxford (1968)
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Sikora, W., Malinowski, J. (2010). Symmetry Approach to Evacuation Scenarios. In: Jędrzejowicz, P., Nguyen, N.T., Howlet, R.J., Jain, L.C. (eds) Agent and Multi-Agent Systems: Technologies and Applications. KES-AMSTA 2010. Lecture Notes in Computer Science(), vol 6071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13541-5_24
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DOI: https://doi.org/10.1007/978-3-642-13541-5_24
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