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Showing 2001 · cond-mat.stat-mechShow all

28 papers · 2 filters

cond-mat.stat-mech2001★ 223 cited

Ferromagnetic Phase Transition in Barabasi-Albert Networks

Agata Aleksiejuk, Janusz A. Holyst, Dietrich Stauffer

Ising spins put onto a Barabasi-Albert scale-free network show an effective phase transition from ferromagnetism to paramagnetism upon heating, with an effective critical temperatu…

cond-mat.stat-mech2001★ 69 cited

Cellular Automaton Approach to Pedestrian Dynamics - Applications

Carsten Burstedde, Ansgar Kirchner, Kai Klauck +2

We present applications of a cellular automaton approach to pedestrian dynamics introduced in [1,2]. It is shown that the model is able to reproduce collective effects and self-org…

cond-mat.stat-mech2001★ 60 cited

Cellular Automaton Approach to Pedestrian Dynamics - Theory

Andreas Schadschneider

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than r…

cond-mat.stat-mech2001★ 19 cited

Broken Ergodicity in a Stochastic Model with Condensation

Frank Zielen, Andreas Schadschneider

We introduce a variant of the asymmetric random average process with continuous state variables where the maximal transport is restricted by a cutoff. For periodic boundary conditi…

cond-mat.stat-mech2001★ 40 cited

The Sznajd model of consensus building with limited persuasion

D. Stauffer

The Sznajd model, where two people having the same opinion can convince their neighbours on the square lattice, is modified in the sense of Deffuant et al and Hegselmann, that only…

cond-mat.stat-mech2001★ 71 cited

Election results and the Sznajd model on Barabasi network

A. T. Bernardes, D. Stauffer, J. Kertesz

The network of Barabasi and Albert, a preferential growth model where a new node is linked to the old ones with a probability proportional to their connectivity, is applied to Braz…