| Zugriffsnummer | 21791 |
| Dokumenttyp | Zeitschriftenartikel |
| Peer Review | unbekannt |
| Sprache | Englisch |
| Titel | A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms |
| Autor(in); Institution |
Peruani, F.; Max-Planck-Institute for Physics of Complex Systems, Dresden, GERMANY
Deutsch, A.; FU Dresden, Center for Information Services and High Performance Computing, Dresden, GERMANY
Bär, Markus; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
|
| Quelle/Jahr | Active motion and swarming : [International Workshop "Active Motion and Swarming" which was held in December 4 - 6, 2006 in Berlin-Adlershof]. The European Physical Journal: Special Topics: 157 (2008), 111 - 122 |
| ISSN | 1951-6355 (PRINT) ; 1951-6401 (ONLINE) |
| DOI | |
| Verlag | Berlin [u.a.]: Springer |
| Freie Schlagworte | Selforganisation ; Active Particles |
| Zusammenfassung | A mean-field approach (MFA) is proposed for the analysis of orientational order in a two-dimensional system of stochastic self-propelled particles interacting by local velocity alignment mechanism. The treatment is applied to the cases of ferromagnetic (F) and liquid-crystal (LC) alignment. In both cases, MFA yields a second order phase transition for a critical noise strength and a scaling exponent of 1/2 for the respective order parameters. We find that the critical noise amplitude ηc at which orientational order emerges in the LC case is smaller than in the F- alignment case. A comparison with simulations of individual-based models with F- resp. LC-alignment shows that the predictions about the critical behavior and the qualitative relation between the respective critical noise amplitudes are correct. |
