Collective motion of active Brownian particles in one dimension
作者： P. Romanczuk , U. Erdmann
DOI: 10.1140/EPJST/E2010-01277-0
关键词: Langevin equation 、 Bifurcation 、 Fixed point 、 Brownian motion 、 Mean field theory 、 Physics 、 Fokker–Planck equation 、 Coupling 、 Classical mechanics 、 Statistical physics 、 Phase (waves)
摘要: We analyze a model of active Brownian particles with non-linear friction and velocity coupling in one spatial dimension. The exhibits two modes motion observed biological swarms: A disordered phase vanishing mean an ordered finite velocity. Starting from the microscopic Langevin equations, we derive mean-field equations collective dynamics. identify fixed points corresponding to their stability respect parameters. Finally, compare our analytical findings numerical simulations model.
springer.com
core.ac.uk
harvard.edu
epj.org
sci-hub.se 参考文章(31)
Pawel Romanczuk, Iain D. Couzin, Lutz Schimansky-Geier, Collective motion due to individual escape and pursuit response. Physical Review Letters. ,vol. 102, pp. 010602- ,(2009) , 10.1103/PHYSREVLETT.102.010602
Frank Schweitzer, J Doyne Farmer, Brownian Agents and Active Particles: Collective Dynamics in the Natural and Social Sciences Springer Publishing Company, Incorporated. ,(2003)
Jessica Strefler, Udo Erdmann, Lutz Schimansky-Geier, Swarming in three dimensions Physical Review E. ,vol. 78, pp. 031927- 031927 ,(2008) , 10.1103/PHYSREVE.78.031927
R. F. Pawula, Approximation of the Linear Boltzmann Equation by the Fokker-Planck Equation Physical Review. ,vol. 162, pp. 186- 188 ,(1967) , 10.1103/PHYSREV.162.186
Gunnar Rückner, Raymond Kapral, Chemically powered nanodimers. Physical Review Letters. ,vol. 98, pp. 150603- ,(2007) , 10.1103/PHYSREVLETT.98.150603
Benjamin Lindner, Some unsolved problems relating to noise in biological systems Journal of Statistical Mechanics: Theory and Experiment. ,vol. 2009, pp. 01008- ,(2009) , 10.1088/1742-5468/2009/01/P01008
R. F. Pawula, Approximating distributions from moments Physical Review A. ,vol. 36, pp. 4996- 5007 ,(1987) , 10.1103/PHYSREVA.36.4996
A W Liehr, H U B deker, M C R ttger, T D Frank, R Friedrich, H-G Purwins, Drift bifurcation detection for dissipative solitons New Journal of Physics. ,vol. 5, pp. 89- 89 ,(2003) , 10.1088/1367-2630/5/1/389
Werner Ebeling, Frank Schweitzer, Benno Tilch, Active Brownian particles with energy depots modeling animal mobility. BioSystems. ,vol. 49, pp. 17- 29 ,(1999) , 10.1016/S0303-2647(98)00027-6
B. Lindner, E. M. Nicola, Diffusion in different models of active Brownian motion The European Physical Journal Special Topics. ,vol. 157, pp. 43- 52 ,(2008) , 10.1140/EPJST/E2008-00629-7