Optimal self-organization

New Journal of Physics

Volumn 1, Issue , 1999, Pages

  Helbing, Dirk ^a,b   Vicsek, Tamás ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037852770     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/1/1/313     Document Type: Article

References (60)

1. Keizer J 1987 Statistical Thermodynamics of Nonequilibrium Processes (New York: Springer)
2. Haken H 1988 Information and Self-Organization (Berlin: Springer)
3. Nicolis G and Prigogine I 1977 Self-Organization in Nonequilibrium Systems. From Dissipative Structures to Order through Fluctuations (New York: Wiley)
4. Haken H 1977 Synergetics (Berlin: Springer)
5. Eigen M and Schuster P 1979 The Hypercycle (Berlin: Springer)
6. Feistel R and Ebeling W 1989 Evolution of Complex Systems (Dordrecht: Kluwer Academic)
7. Hofbauer J and Sigmund K 1988 The Theory of Evolution and Dynamical Systems (Cambridge: Cambridge University Press)
8. Helbing D 1995 Quantitative Sociodynamics. Stochastic Methods and Models of Social Interaction Processes. (Dordrecht: Kluwer Academic)
9. Schweitzer F (ed) 1997 Self-Organization of Complex Structures (Amsterdam: Gordon and Breach)
10. Ben-Jacob E, Schochet O, Tenenbaum A, Cohen I, Czirók A and Vicsek T 1994 Generic modelling of cooperative growth patterns in bacterial colonies Nature 368 46-9
11. Łuczka J, Bartussek R and Hänggi P 1995 White noise induced transport in periodic structures Europhys. Lett. 31 431-6
12. Bartussek R, Reimann P and Hänggi P 1996 Precise numerics versus theory for correlation ratchets Phys. Rev. Lett. 76 1166-9
13. Reimann P, Bartussek R, Häußler R and Hänggi P 1996 Brownian motors driven by temperature oscillations Phys. Lett. 215A 26-31
14. Vicsek T, Czirók A, Ben-Jacob E, Cohen I and Shochet O 1995 Novel type of phase transition in a system of self-driven particles Phys. Rev. Lett. 75 1226-9
15. Albano E V 1996 Self-organized collective displacements of self-driven individuals Phys. Rev. Lett. 77 2129-32
16. Bussemaker H J, Deutsch A and Geigant E 1997 Mean-field analysis of a dynamical phase transition in a cellular automaton model for collective motion Phys. Rev. Lett. 78 5018-21
17. Toner J and Tu Y 1995 Long-range order in a two-dimensional dynamical XY model: How birds fly together Phys. Rev. Lett. 75 4326-9
18. Kessler D A and Levine H 1993 Pattern formation in Dictyostelium via the dynamics of cooperative biological entities Phys. Rev. E 48 4801-4
19. Drasdo D, Kree R and McCaskill J S 1995 A Monte Carlo approach to tissue-cell populations Phys. Rev. E 52 6635-57
20. Schweitzer F, Lao K and Family F 1997 Active random walkers simulate trunk trail formation by ants BioSystems 41 153-66
21. Schweitzer F, Ebeling W and Tilch B 1998 Complex motion of Brownian particles with energy depots Phys. Rev. Lett. 80 5044-7
22. Mandelbrot B 1963 The variation of certain speculative prices. J. Business 35 394-419
23. Laloux L et al 1999 Are financial crashes predictable? Europhys. Lett. 45 1-5
24. Levy M, Levy H and Solomon S 1995 Microscopic simulation of the stock market: The effect of microscopic diversity J. Physique I 5 1087-1107
25. Mantegna R N and Stanley E 1995 Scaling behaviour in the dynamics of an economic index Nature 376 46-9
26. Ghashgaie S, Breymann W, Peinke J, Talkner P and Dodge Y 1996 Turbulent cascades in foreign exchange markets Nature 381 767-70
27. Caldarelli G, MarsiliMand Zhang Y-C 1997 A prototype model of stock exchange Europhys. Lett. 40 479-84
28. de Oliveira S M, de Oliveira M C and Stauffer D 1999 Evolution, Money, War and Computers - Non-Traditional Applications of Computational Statistical Physics (Stuttgart: Teubner)
29. Weidlich W 1991 Physics and social science - the approach of synergetics Phys. Rep. 204 1-163
30. Glance N S and Huberman B A 1994 The dynamics of social dilemmas Scientific American 270 76-81
31. Helbing D 1993 Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of behavioural models Physica A 196 546-73
32. Galam S 1997 Rational group decision making Physica A 238 66-80
33. Helbing D and Molnár P 1995 Social force model for pedestrian dynamics Phys. Rev. E 51 4282-6
34. Santra S B, Schwarzer S and Herrmann H 1996 Fluid-induced particle-size segregation in sheared granular assemblies Phys. Rev. E 54 5066-72
35. Helbing D and Huberman B A 1998 Coherent moving states in highway traffic Nature 396 738-40
36. Helbing D, Keltsch J and Molnár P 1997 Modelling the evolution of human trail systems Nature 388 47-50
37. Ben-Jacob E 1993 From snowflake formation to the growth of bacterial colonies, Part I: Diffusive patterning in non-living systems Contemp. Phys. 34 247-73
38. Ben-Jacob E 1997 From snowflake formation to growth of bacterial colonies, Part II: Cooperative formation of complex colonial patterns Contemp. Phys. 38 205-41
39. von Neumann J and Morgenstern O 1944 Theory of Games and Economic Behavior (Princeton, NJ: Princeton University Press)
40. Axelrod R and Hamilton W D 1981 The evolution of cooperation Science 211 1390-6
41. Axelrod R and Dion D 1988 The further evolution of cooperation Science 242 1385-90
42. Helbing D 1993 Stochastic and Boltzmann-like models for behavioural changes and their relation to game theory Physica A 193 241-58
43. Nowak M A and Sigmund K 1992 Tit for tat in heterogeneous populations Nature 355 250-3
44. Bak P, Chen K and Creutz M 1989 Self-organized criticality in the 'Game of Life' Nature 342 780-2
45. Nowak M A and May R M 1992 Evolutionary games and spatial chaos Nature 359 826-9
46. Huberman B A and Glance N S 1993 Evolutionary games and computer simulations Proc. Natl Acad. Sci. USA 90 7716-8
47. Helbing D 1997 Verkehrsdynamik (Berlin: Springer)
48. Helbing D, Farkas I and Vicsek T 1999 Freezing by heating in a driven mesoscopic system Preprint http://xxx.lanl.gov/abs/cond-mat/9904326
49. Helbing D 1992 A fluid-dynamic model for the movement of pedestrians Complex Systems 6 391-415
50. Lord Rayleigh 1873 Proc. Math. Soc. London 4 357ff
51. Onsager L 1931 Reciprocal relations in irreversible processes I Phys. Rev. 37 405-26
52. de Groot S R and Mazur P 1962 Non-Equilibrium Thermodynamics (Amsterdam: North-Holland)
53. Graham R and Tél T 1990 Macroscopic potentials of dissipative dynamical systems Stochastic Processes and Their Applications ed S Albeverio, P Blanchard and L Streit (Dordrecht: Kluwer) pp 153-75
54. Wolfram S 1984 Cellular automata as models of complexity Nature 311 419-24
55. Stauffer D 1991 Computer simulations of cellular automata J. Phys. A: Math. Gen. 24 909-27
56. Bak P, Tang C and Wiesenfeld K 1987 Self-organized criticality: An explanation of 1/f noise Phys. Rev. Lett. 59 381-4
57. Schmittmann B and Zia R K P 1995 Statistical Mechanics of Driven Diffusive Systems Vol. 17 of Phase Transitions and Critical Phenomena edited by C Domb and J L Lebowitz (New York: Academic)
58. Evans M R, Kafri Y, Koduvely H M and Mukamel D 1998 Phase separation in one-dimensional driven diffusive systems Phys. Rev. Lett. 80 425-9
59. Helbing D, Mukamel D and Schütz G M 1999 Global phase diagram of a one-dimensional driven lattice gas Phys. Rev. Lett. 82 10-13
60. Weidmann U 1993 Transporttechnik der Fußgänger Vol. 90 of the Schriftenreihe des IVT (Institut für Verkehrsplanung Transporttechnik Straßen- und Eisenbahnbau) (ETH Zürich, ETH-Hönggerberg, CH-8093 Zürich)