Nonequilibrium phase transitions in finite arrays of globally coupled Stratonovich models: Strong coupling limit

New Journal of Physics

Volumn 11, Issue , 2009, Pages

  Senf, Fabian ^a,b   Altrock, Philipp M ^a,c   Behn, Ulrich ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b LEIBNIZ INSTITUTE OF ATMOSPHERIC PHYSICS   (Germany)

^c MAX PLANCK INSTITUTE FOR EVOLUTIONARY BIOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CENTRE OF MASS; CONTROL PARAMETERS; CRITICAL VALUE; CROSSOVER POINTS; FINITE ARRAY; FIXED POINTS; FOKKER PLANCK; GENERAL CLASS; INFINITE ARRAYS; LANGEVIN; NONEQUILIBRIUM PHASE TRANSITIONS; NUMERICAL SIMULATION; PARAMETER SPACES; RELATIVE COORDINATES; SQUARE-ROOT SCALING; STOCHASTIC FLOWS; STRONG COUPLING; TIME-SCALES;

CONTROL SYSTEM ANALYSIS; PROBABILITY DISTRIBUTIONS; STOCHASTIC MODELS;

PHASE TRANSITIONS;

EID: 67650035212     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/11/6/063010     Document Type: Article

References (34)

1. Sagués F, García-Ojalvo J and Sancho J M 2007 Rev. Mod. Phys. 79 829
2. Muñoz M A 2004 Advances in Condensed Matter and Statistical Mechanics ed E Korutcheva and R Cuerno (New York: Nova Science) p 34
3. García-Ojalvo J and Sancho J M 1999 Noise in Spatially Extended Systems (Berlin: Springer)
4. Horsthemke W and Lefever R 1984 Noise-Induced Transitions (Berlin: Springer)
5. Schenzle A and Brand H 1979 Phys. Rev. A 20 1628
6. Graham R and Schenzle A 1982 Phys. Rev. A 25 1731
7. Sancho J M, San Miguel M, Katz S L and Gunton J D 1982 Phys. Rev. A 26 1589
8. Senf F and Behn U in preparation Senf F 2006 Diploma Thesis Institut für Theoretische Physik, Universität Leipzig
9. Bel G and Barkai E 2006 Europhys. Lett. 74 15
10. Birner T, Lippert K, Müller R, Kühnel A and Behn U 2002 Phys. Rev. E 65 046110
11. Muñoz M A, Colaiori F and Castellano C 2005 Phys. Rev. E 72 056102
12. Przybilla J 2002 Diploma Thesis Institut für Theoretische Physik, Universität Leipzig
13. Van den Broeck C, Parrondo J M R, Armero J and Hernández-Machado A 1994 Phys. Rev. E 49 2639
14. García-Ojalvo J, Parrondo J M R, Sancho J M and Van den Broeck C 1996 Phys. Rev. E 54 6918
15. Genovese W and Muñoz M A 1999 Phys. Rev. E 60 69
16. Becker A and Kramer L 1994 Phys. Rev. Lett. 73 955
17. Hasegawa H 2006 J. Phys. Soc. Japan 75 033001
18. Risken H 1996 The Fokker-Planck Equation 2nd edn (Berlin: Springer)
19. Gichman I I and Skorochod A W 1971 Stochastische Differentialgleichungen (Berlin: Akademie-Verlag)
20. Van den Broeck C and Kawai R 1998 Phys. Rev. E 57 3866
21. Olver F W J 1997 Asymptotics and Special Functions (Wellesley, MA: A K Peters)
22. Graham R L, Knuth D E and Patashnik O 1994 Concrete Mathematics: A Foundation for Computer Science 2nd edn (Reading, MA: Addison-Wesley) answer to problem 9.60
23. Chao X and Roberts A J 1996 Physica A 225 62
24. Haken H and Wunderlin A 1982 Z. Phys. B 47 179
25. Schöner G and Haken H 1986 Z. Phys. B 63 493
26. Gardiner C W 2004 Handbook of Stochastic Methods 3rd edn (Berlin: Springer)
27. Arnold L 1998 Random Dynamical Systems (Berlin: Springer)
28. Furutsu K 1963 J. Res. Natl Bur. Stand. D 67 303
29. Novikov A 1965 Sov. Phys. - JETP 20 1290
30. Brugano L, Burrage K and Burrage P M 2000 BIT Numer. Math. 40 451
31. Kloeden P E and Platen E 1992 Numerical Solution of Stochastic Differential Equations (Berlin: Springer)
32. Burrage K and Burrage P M 1996 Appl. Num. Math. 22 81
33. Burrage K and Burrage P M 1998 Appl. Num. Math. 28 161
34. Maruyama G 1955 Rend. Circolo Math. Palermo 4 48