Dresden 2020 – wissenschaftliches Programm

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BP: Fachverband Biologische Physik

BP 15: Active Matter III (joint session DY/BP/CPP)

BP 15.4: Vortrag

Dienstag, 17. März 2020, 14:45–15:00, ZEU 160

Multiple Particle Correlation Analysis of Many-Particle Systems: Formalism and Application to Active Matter — •Rüdiger Kürsten1, Sven Stroteich1, Martín Zumaya Hérnandez2, and Thomas Ihle11Universität Greifswald, Institut für Physik, Felix-Hausdorff-Str.6 — 2Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, Código Postal 62251, Cuernavaca, Morelos, México

We introduce a fast spatial point pattern analysis technique which is suitable for systems of many identical particles giving rise to multi-particle correlations up to arbitrary order. The obtained correlation parameters allow to quantify the quality of mean field assumptions or theories that incorporate correlations of limited order. We study the Vicsek model [1] of self-propelled particles and create a correlation map marking the required correlation order for each point in phase space incorporating up to ten-particle correlations. We find that multi-particle correlations are important even in a large part of the disordered phase. Furthermore, the two-particle correlation parameter serves as an excellent order parameter to locate both phase transitions of the system, whereas two different order parameters were required before [2].

[1] Phys. Rev. Lett. 75, 1226 (1995). [2] Phys. Rev. Lett. 92, 025702 (2004); Phys. Rev. E 77, 046113 (2008).

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