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  Pattern formation of causal-entropically driven particles on a lattice

Vogel, F. N. (2016). Pattern formation of causal-entropically driven particles on a lattice. Bachelor Thesis, Georg-August-Universität, Göttingen.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-002B-2D90-4 Versions-Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-3BE0-4
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2016_bachelor_thesis_fritjof_vogel_2.pdf (Verlagsversion), 5MB
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 Urheber:
Vogel, Fritjov Nikolai1, Autor           
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1Group Non-equilibrium soft matter, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063308              

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 Zusammenfassung: A deep connection between intelligence and causal entropy maximization was sug- gested by Wissner-Gross and Freer in 2013 [1]: intelligence is moving towards a maximization of future possibilities. In this work I use the concept of causal en- tropic forces to investigate fundamental rules for pattern formation on a lattice. Previously, this has been studied in continuous space and time by Hornischer [2]. I explore three different approaches to calculate the phase-space volume, which is the crucial variable of the causal entropic force: approach A takes the raw number of possible trajectories into account and weights them equally. Here the force is strictly repulsive and the behavior is comparable to an ideal gas. Approach B takes the ra- dius of gyration as a weight for each sampling trajectory to explore the phase space volume. For this approach I find stable patterns, where the appearance ranges from hexagonal to labyrinthine depending on the time horizon and density. Approach C uses the boxcount of each trajectory as its weight. In this approach I find patterns, the appearance depending on time horizon and density but the occurrence also de- pending on the fraction of explored phase space. If only a small part of the phase space is explored the particles move erratically and no patterns appear.

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Sprache(n): eng - English
 Datum: 2016-09-16
 Publikationsstatus: Angenommen
 Seiten: 58
 Ort, Verlag, Ausgabe: Göttingen : Georg-August-Universität
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 Art des Abschluß: Bachelor

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