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Metastable Magnetic Structures in the Blume-Capel Model

100%
Kułakowski K., Antoniuk M., Del Moral A., Gawroński P.
Acta Physica Polonica A
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2000
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vol. 97
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issue 5
893-896
EN
We discuss a first-order phase transition from non-magnetic to magnetic phase at T=0. New results are presented on a spontaneously formed magnetic phase and its energy in the C15 atomic structure, in the presence of the antiferromagnetic interaction. A dynamic phase diagram is constructed for the phase transition. The results are discussed in the context of the pressure-driven phase transition, which was observed experimentally in YMn_{2}.
2
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Opinion Formation in an Open System and the Spiral of Silence

100%
Gawroński P., Nawojczyk M., Kułakowski K.
Acta Physica Polonica A
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2015
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vol. 127
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issue 3A
A-45-A-50
EN
A new model is formulated of the sociological effect of the spiral of silence, introduced by Elisabeth Noelle-Neumann in 1974. The probability that a new opinion is openly expressed decreases with the difference between this new opinion and the perceived opinion of the majority. We also assume that the system is open, i.e. some people enter and some leave during the process of the opinion formation. An influence of a leader is simulated by a comparison of two runs of the simulation, where the leader has different opinion in each run. The difference of the mean expressed opinions in these two runs persists long after the leader's leave.
3
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Evacuation in the Social Force Model is not Stationary

100%
Gawroński P., Kułakowski K., Kämpf M., Kantelhardt J.
Acta Physica Polonica A
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2012
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vol. 121
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issue 2B
B-77-B-81
EN
An evacuation process is simulated within the Social Force Model. Thousand pedestrians are leaving a room by one exit. We investigate the stationarity of the distribution of time lags between instants when two successive pedestrians cross the exit. The exponential tail of the distribution is shown to gradually vanish. Taking fluctuations apart, the time lags decrease in time till there are only about 50 pedestrians in the room, then they start to increase. This suggests that at the last stage the flow is laminar. In the first stage, clogging events slow the evacuation down. As they are more likely for larger crowds, the flow is not stationary. The data are investigated with detrended fluctuation analysis and return interval statistics, and no pattern transition is found between the stages of the process.
4
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Strategies in Crowd and Crowd Structure

64%
Gawroński P., Malarz K., Krawczyk M., Malinowski J., Kupczak A., Sikora W., Kułakowski K., Wąs J., Kantelhardt J.
Acta Physica Polonica A
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2013
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vol. 123
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issue 3
522-525
EN
In an emergency situation, imitation of strategies of neighbours can lead to an order-disorder phase transition, where spatial clusters of pedestrians adopt the same strategy. We assume that there are two strategies, cooperating and competitive, which correspond to a smaller or larger desired velocity. The results of our simulations within the Social Force Model indicate that the ordered phase can be detected as an increase of spatial order of positions of the pedestrians in the crowd.
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