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Complex Systems with Trivial Dynamics

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  • Ricardo Lopez-Ruiz

Abstract

In this communication, complex systems with a near trivial dynamics are addressed. First, under the hypothesis of equiprobability in the asymptotic equilibrium, it is shown that the (hyper) planar geometry of an $N$-dimensional multi-agent economic system implies the exponential (Boltzmann-Gibss) wealth distribution and that the spherical geometry of a gas of particles implies the Gaussian (Maxwellian) distribution of velocities. Moreover, two non-linear models are proposed to explain the decay of these statistical systems from an out-of-equilibrium situation toward their asymptotic equilibrium states.

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  • Ricardo Lopez-Ruiz, 2012. "Complex Systems with Trivial Dynamics," Papers 1210.6481, arXiv.org.
    • Handle: RePEc:arx:papers:1210.6481
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    References listed on IDEAS

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    1. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    2. A. Drăgulescu & V.M. Yakovenko, 2001. "Evidence for the exponential distribution of income in the USA," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(4), pages 585-589, April.
    3. Shivanian, Elyas & López-Ruiz, Ricardo, 2012. "A new model for ideal gases. Decay to the Maxwellian distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2600-2607.
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