Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-04-22
New Journal of Physics 1, 13.1-13.17 (1999), see http://www.njp.org/
Physics
Condensed Matter
Statistical Mechanics
This is the detailled revised version of a preprint on ``Self-Organised Optimality'' (cond-mat/9903319). For related work see
Scientific paper
10.1088/1367-2630/1/1/313
We present computational and analytical results indicating that systems of driven entities with repulsive interactions tend to reach an optimal state associated with minimal interaction and minimal dissipation. Using concepts from non-equilibrium thermodynamics and game theoretical ideas, we generalize this finding to an even wider class of self-organizing systems which have the ability to reach a state of maximal overall ``success''. This principle is expected to be relevant for driven systems in physics like sheared granular media, but it is also applicable to biological, social, and economic systems, for which only a limited number of quantitative principles are available yet.
Helbing Dirk
Vicsek Tamás
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