Functional-integral based perturbation theory for the Malthus-Verhulst process

Brazilian Journal of Physics

Volumn 36, Issue 4 A, 2006, Pages 1238-1249

  Moloney, Nicholas R ^a,b   Dickman, Ronald ^b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

Birth and death process; Doi formalism; Master equation; Omega expansion; Path integral

Indexed keywords

EID: 34248378661     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0103-97332006000700022     Document Type: Conference Paper

References (14)

1. N. G. van Kampen, Stochastic Processes in Physics and Chemistry, (North-Holland, Amsterdam, 1992).
2. C. W. Gardiner, Handbook of Stochastic Methods, (Springer-Verlag, Berlin, 1990).
3. M. Doi, J. Phys. A9, 1465, 1479 (1976).
4. P. Grassberger and M. Scheunert, Fort. Phys. 28, 547 (1980).
5. N. Goldenfeld, J. Phys. A17, 2807 (1984).
6. L. Peliti, J. Physique 46, 1469 (1985);
7. A. Mecozzi, F. De Pasquale, and L. Peliti, Nuovo Cimento 100B, 733 (1987).
8. B. P. Lee and J Cardy, J. Stat. Phys. 80, 971 (1995);
9. J. Stat. Phys. 87, 951 (1997).
10. J. Cardy and U. C. Tauber, Phys. Rev. Lett. 77, 4780 (1996).
11. R. Dickman and R. Vidigal, Braz. J. Phys. 33, 73 (2003).
12. R. Vidigal and R. Dickman, J. Stat. Phys. 118, 1 (2005).
13. C. Deroulers and R. Monasson, Phys. Rev. E 69, 016126 (2004).
14. R. Dickman and R. Vidigal, J. Phys. A 35, 1145 (2002).