Abstract
The OV model can be extended to higher-dimensional systems such as asymmetric dissipative systems. We observe the emergence of various macroscopic patterns of moving particles.
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References
Alder, B.J., Wainwright, T.E.: Phase transition for a hard sphere system. J. Chem. Phys. 27, 1208 (1957)
Alder, B.J., Wainwright, T.E.: Phase transition in elastic disks. Phys. Rev. 127, 359–361 (1962)
Ballerini, M., Cabibbo, N., Candelier, R., Cavagna, A., Cisbani, E., Giardina, I., Lecomte, V., Orlandi, A., Parisi, G., Procaccini, A., Viale, M., Zdravkovic, V.: Interaction ruling animal collective behavior depends on topological rather than metric distance: evidence from a field study. Proc. Natl. Acad. Sci. 105(4), 1232–1237 (2008)
Buhl, J., Sumpter, D.J.T., Couzin, I.D., Hale, J.J., Despland, E., Miller, E.R., Simpson, S.J.: From disorder to order in marching locusts. Science 312(5778), 1402–1406 (2006). https://doi.org/10.1126/science.1125142
Calovi, D.S., Lopez, U., Ngo, S., Sire, C., Chaté, H., Theraulaz, G.: Swarming, schooling, milling: phase diagram of a data-driven fish school model. New J. Phys. 16, 015026 (2014)
Helbing, D., Vicsek, T.: Optimal self-organization. New J. Phys. 1(1), 13.1–13.17 (1999). https://doi.org/10.1088/1367-2630/1/1/313
Inada, Y., Kawachi, K.: Order and flexibility in the motion of fish schools. J. Theor. Biol. 214(3), 371–387 (2002). https://doi.org/10.1006/jtbi.2001.2449
Ishiwata, R., Sugiyama, Y.: Flow instability originating from particle configurations using the two-dimensional optimal velocity model. Phys. Rev. E 92(6), 062830 (2015). https://doi.org/10.1103/PhysRevE.92.062830
Ishiwata, R., Sugiyama, Y.: Analysis in Kantorovich geometric space for quasi-stable patterns in 2D-OV model. In: V.L. Knoop, W. Daamen (Eds.) Traffic and Granular Flow ’15, pp. 427–433. Springer, Cham (2016)
Ishiwata, R., Kinukawa, R., Sugiyama, Y: Analysis of dynamically stable patterns in a maze-like corridor using the Wasserstein metric. Sci. Rep. 8(1), 6367 (2018)
Nakayama, A., Sugiyama, Y.: Group formation of organisms in 2-dimensional OV model. In: Traffic and Granular Flow ’03, pp. 399–404. Springer, Berlin (2005)
Nakayama, A., Hasebe, K., Sugiyama, Y.: Instability of pedestrian flow and phase structure in a two-dimensional optimal velocity model. Phys. Rev. E 71(3), 036121 (2005). https://doi.org/10.1103/PhysRevE.71.036121
Nakayama, A., Sugiyama, Y., Hasebe, K.: Instability of pedestrian flow in two-dimensional optimal velocity model. In: Waldau, N., Gattermann, P., Knoflacher, H., Schreckenberg, M. (Eds.), Pedestrian and Evacuation Dynamics 2005, pp. 321–332. Springer, Berlin (2007)
Nakayama, A., Hasebe, K., Sugiyama, Y.: Effect of attractive interaction on instability of pedestrian flow in a two-dimensional optimal velocity model. Phys. Rev. E 77(1), 016105 (2008). https://doi.org/10.1103/PhysRevE.77.016105
Sugiyama, Y.: Asymmetric interaction in non-equilibrium dissipative system towards biological system. In: Natural Computing, pp. 189–200. Springer, Tokyo (2009)
Sugiyama, Y., Nakayama, A., Hasebe, K.: 2-dimensional optimal velocity models for granular flow and pedestrian dynamics. In: Schreckenberg, M., Sharma, S.D. (Eds.) Pedestrian and Evacuation Dynamics, pp. 155–160. Springer, Berlin (2002)
Sugiyama, Y., Nakayama, A., Yamada, E.: Phase diagram of group formation in 2-D optimal velocity model. In: Schadschneider, A., Pöschel, T., Kühne, R., Schreckenberg, M., Wolf, D.E. (Eds.) Traffic and Granular Flow ’05, pp. 277–282. Springer, Berlin (2007)
Tero, A., Kobayashi, R., Nakagaki, T.: A mathematical model for adaptive transport network in path finding by true slime mold. J. Theor. Biol. 244(4), 553–564 (2007). https://doi.org/10.1016/j.jtbi.2006.07.015
Tero, A., Nakagaki, T., Toyabe, K., Yumiki, K., Kobayashi, R.: A method inspired by physarum for solving the steiner problem. Int. J. Unconvent. Comput. 6, 109–123 (2010)
Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I., Shochet, O.: Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75, 1226–1229 (1995)
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Sugiyama, Y. (2023). Two-Dimensional Self-Driven Particles and Flow Patterns. In: Dynamics of Asymmetric Dissipative Systems. Springer Series in Synergetics. Springer, Singapore. https://doi.org/10.1007/978-981-99-1870-6_8
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DOI: https://doi.org/10.1007/978-981-99-1870-6_8
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