Abstract: The model of pedestrian motion, based on the set of differential Langevin equations is presented. In the equations psychological component in pedestrians motion is described using an additional social force term. Solution of the set of equations for N pedestrians, moving in the buildings of a chosen type (e.g. office building, cinema, self-service shop), enable to simulate evacuation process. As a parameter describing the level of panic in the evacuation process the desired velocity v_D was used. In the numerical program the buildings were presented in 2 or 3-dim graphic, which enables to visualize the process of evacuation of buildings. It is also possible to calculate the trajectory of each pedestrian or time of evacuation. Two types of pedestrian motion – laminar and turbulent - were observed, which depends on the v_D value. Large level of panic (high v_D) causes the increase of the interactions between pedestrians and interactions with the elements of internal architecture of building. The times of evacuation as a function of v_D, for the chosen buildings and internal architecture, were calculated and discussed.

Brief biography of the speaker:
Prof. Robert Kosinski is a Head of the Physics of Complex Systems Division at Warsaw University of Technology. He also works as a professor at Central Institute for Labor Protection – National Research Institute, in Safety Engineering Department. His main research interests concern theory of magnetism, nonlinear dynamics, theory and applications of artificial neural network and physics of complex systems, in particular mathematical modeling and numerical simulations of complex systems of different kinds. In these fields He is an author or coauthor of above 80 scientific papers published in international journals (e.g. IEEE Transactions on Magnetism, Physical Review, International Journal of Modern Physics) as well as two books - on artificial neural networks and textbook for students on statistical physics and quantum mechanics. He participated also in 90 international conferences presenting the results of his research. He is a member of a number of scientific societies (e.g. Polish Physical Society, Societas Humboldtiana Polonorum).