Thermal noise in order-disorder phase transitions has been generalized [1] to a wide class of phase transitions parametrized by rates of probability flows between discrete states. The rates depend on the states of neighbors of a node in a medium network. Here we apply the new parameterization to strategies selected by people in crowd, represented by a square lattice of nodes. The crossover in the scaling relation of the DFA fluctuation function [2, 3] is investigated for the time dependence of the mean strategy. The data show the critical slowing down effect near the phase transition. The obtained dynamic critical exponent z is close to 2.0, in agreement with recent literature [4].

[1] K. Malarz, R. Korff and K. Kułakowski, Int. J. Mod. Phys. C 22, 719 (2011)

[2] C.-K. Peng, S.V. Buldyrev, S. Havlin, M. Simons, H.E. Stanley, and A.L. Goldberger, Phys. Rev. E 49 1685 (1994)

[3] A. Bashan, R. Bartsch, J. W. Kantelhardt, and S. Havlin, Physica A 387, 5080 (2008)

[4] M. J. Dunlavy and D. Venus, Phys. Rev. B 71, 144406 (2005)

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