Field theory of branching and annihilating random walks

Journal of Statistical Physics

Volumn 90, Issue 1-2, 1998, Pages 1-56

  Cardy, John L ^a,b   Täuber, Uwe C ^a,c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b ALL SOULS COLLEGE   (United Kingdom)

^c LINACRE COLLEGE   (United Kingdom)

Author keywords

Directed percolation; Dynamic critical phenomena; Reaction diffusion systems; Stochastic processes

Indexed keywords

EID: 0031634991     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023233431588     Document Type: Article

References (45)

1. See, e.g., J. Marro and R. Dickman, Nonequilibrium phase transitions in lattice models (Cambridge University Press, Cambridge, to appear); V. Kuzovkov and E. Kotomin, Rep. Prog. Phys. 51:1479 (1988).
2. See, e.g., J. Marro and R. Dickman, Nonequilibrium phase transitions in lattice models (Cambridge University Press, Cambridge, to appear); V. Kuzovkov and E. Kotomin, Rep. Prog. Phys. 51:1479 (1988).
3. J. L. Cardy, in Proceedings of mathematical beauty of physics. J.-B. Zuber, ed., Advanced Series in Mathematical Physics, Vol. 24, to appear; preprint (cond-mat/9607163).
4. M. Doi, J. Phys. A 9:1479 (1976).
5. L. Peliti, J. Phys. (Paris) 46:1469 (1984).
6. P. Grassberger and P. Scheunert, Fortschr. Phys. 28:547 (1980).
7. B. P. Lee, J. Phys. A 27:2633 (1994); B. P. Lee and J. L. Cardy, J. Stat. Phys. 80:971 (1995).
8. B. P. Lee, J. Phys. A 27:2633 (1994); B. P. Lee and J. L. Cardy, J. Stat. Phys. 80:971 (1995).
9. M. Howard and J. L. Cardy, J. Phys. A 28:3599 (1995).
10. P.-A. Rey and M. Droz, J. Phys. A 30:1101 (1997).
11. J. L. Cardy and U. C. Täuber, Phys. Rev. Lett. 77:4780 (1996).
12. P. Grassberger, F. Krause, and T. von der Twer, J. Phys. A 17:L105 (1984).
13. P. Grassberger, J. Phys. A 22:L1103 (1989).
14. See, e.g., Percolation Structures and Processes, G. Deutscher, R. Zallen, and J. Adler, eds., Ann. Isr. Phys. Soc. 5 (Adam Hilger, Bristol, 1983).
15. P. Grassberger and K. Sundermeyer, Phys. Lett. 77B:220 (1978); J. L. Cardy and R. L. Sugar, J. Phys. A 13:L423 (1980); H. K. Janssen, Z. Phys. B 42:151 (1981).
16. P. Grassberger and K. Sundermeyer, Phys. Lett. 77B:220 (1978); J. L. Cardy and R. L. Sugar, J. Phys. A 13:L423 (1980); H. K. Janssen, Z. Phys. B 42:151 (1981).
17. P. Grassberger and K. Sundermeyer, Phys. Lett. 77B:220 (1978); J. L. Cardy and R. L. Sugar, J. Phys. A 13:L423 (1980); H. K. Janssen, Z. Phys. B 42:151 (1981).
18. T. E. Harris, Ann. Prob. 2:969 (1974).
19. R. M. Ziff, H. Gulari, and Y. Barshad, Phys. Rev. Lett. 56:2553 (1986).
20. T. Aukrust, D. A. Browne, and I. Webman, Phys. Rev. A 41:5294 (1990).
21. H. Takayasu and A. Yu. Tretyakov, Phys. Rev. Lett. 68:3060 (1992).
22. H. Takayasu and N. Inui, J. Phys. A 25:L585 (1992); N. Inui, Phys. Lett. A 184:79 (1993).
23. H. Takayasu and N. Inui, J. Phys. A 25:L585 (1992); N. Inui, Phys. Lett. A 184:79 (1993).
24. I. Jensen, J. Phys. A 26:3921 (1993); Phys. Rev. E 50:3623 (1994).
25. I. Jensen, J. Phys. A 26:3921 (1993); Phys. Rev. E 50:3623 (1994).
26. D. ben-Avraham, F. Leyvraz, and S. Redner, Phys. Rev. E 50:1843 (1994).
27. M. Droz, Z. Rácz, and J. Schmidt, Phys. Rev. A 39:2141 (1989).
28. N. Menyhárd, J. Phys. A 27:6139 (1994); N. Menyhárd and G. Ódor. J. Phys. A 28:4505 (1995); J. Phys. A 29:7739 (1996).
29. N. Menyhárd, J. Phys. A 27:6139 (1994); N. Menyhárd and G. Ódor. J. Phys. A 28:4505 (1995); J. Phys. A 29:7739 (1996).
30. N. Menyhárd, J. Phys. A 27:6139 (1994); N. Menyhárd and G. Ódor. J. Phys. A 28:4505 (1995); J. Phys. A 29:7739 (1996).
31. M. Droz and Z. Rácz, private communication (1996).
32. K. E. Bassler and D. A. Browne, Phys. Rev. Lett. 77:4094 (1996); Phys. Rev. E 55:5225 (1997); preprint (cond-mat/9704035).
33. K. E. Bassler and D. A. Browne, Phys. Rev. Lett. 77:4094 (1996); Phys. Rev. E 55:5225 (1997); preprint (cond-mat/9704035).
34. H. Hinrichsen, Phys. Rev. E 55:219 (1997).
35. M. H. Kim and H. Park, Phys. Rev. Lett. 73:2579 (1994).
36. I. Jensen, Phys. Rev. E 47:R1 (1993); Phys. Rev. Lett. 70:1465 (1993); private communication (1996).
37. I. Jensen, Phys. Rev. E 47:R1 (1993); Phys. Rev. Lett. 70:1465 (1993); private communication (1996).
38. I. Jensen, Phys. Rev. E 47:R1 (1993); Phys. Rev. Lett. 70:1465 (1993); private communication (1996).
39. See, e.g., N. V. Popov, Functional Integrals and Collective Excitations (Cambridge University Press, New York, 1981); J. W. Negele and J. Orland, Quantum Many-Particle Systems (Addison-Wesley, New York, 1988).
40. See, e.g., N. V. Popov, Functional Integrals and Collective Excitations (Cambridge University Press, New York, 1981); J. W. Negele and J. Orland, Quantum Many-Particle Systems (Addison-Wesley, New York, 1988).
41. See, e.g., D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena, 2nd ed. (World Scientific, Singapore, 1984); J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1989).
42. See, e.g., D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena, 2nd ed. (World Scientific, Singapore, 1984); J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1989).
43. U. C. Täuber and F. Schwabl, Phys. Rev. B 48:186 (1993).
44. M. E. Fisher and M. P. Gelfand, J. Stat. Phys. 53:175 (1988).
45. Z. Racz, private communication (1996).