Multi-scaling of the n-point density function for coalescing Brownian motions

Communications in Mathematical Physics

Volumn 268, Issue 3, 2006, Pages 717-725

  Munasinghe, Ranjiva ^a   Rajesh, R ^b   Tribe, Roger ^a   Zaboronski, Oleg ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750372562     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0110-5     Document Type: Article

References (19)

1. Hinrichsen, H.: Nonequilibrium critical phenomena and phase transitions into absorbing states. Adv. in Phys. 49(7), 815-958 (2000)
2. Itzykson, C., Zuber, J.B.: The planar approximation. II. J. Math. Phys. 21, 411 (1980)
3. Bohm, W., Mohanty, S.G.: On the Karlin-McGregor theorem & applications. Ann. Appl. Probab. 7(2), 314-325 (1997)
4. nd edition, New York: Academic Press, 1991
5. Karlin, S., McGregor, J.G.: Coincidence probabilities. Pacific J. Math. 9, 1141-1164 (1959)
6. Cardy, J.: Field Theory and Nonequilibrium Statistical Mechanics. Available from http://www.thphys.physics.ox.ac.uk/users/JohnCardy/
7. ben-Avraham, D., Masser, T.O.: Method of intervals for the study of diffusion-limited annihilation, A+A → 0. Phys Rev E, 63, 066108 (2001)
8. ben-Avraham, D., Masser, T.O.: Correlation functions for diffusion-limited annihilation, A+A → 0. Phys. Rev. E 64, 062101 (2001)
9. ben-Avraham, D.: Complete Exact solution of diffusion limited coalescence, A+A → A. Phys. Rev. Lett 81, 4756-4759 (1998)
10. Doering, C.R.: Microscopic spatial correlations induced by external noise in a reaction-diffusion system. Physica A 188, 386 (1992)
11. Bramson, M., Lebowitz, J.L.: Asymptotic behaviour of diffusion-dominated annihilation reactions. Phys. Rev. Lett 61, 2397-2400 (1988)
12. Howard, M.J.: J Phys. A 29, 3437 (1996)
13. Lee, B.P.: Renormalization group calculation for the reaction kA → ∅. J. Phys. A 27, 2633-2652 (1994)
14. Munasinghe, R.M., Rajesh, R., Zaboronski, O.V.: Multi-Scaling of correlation functions in single species Reaction-diffusion systems. To appear in Phys. Rev. E.
15. Connaughton, C., Rajesh, R., Zaboronski, O.V.: Breakdown of Kolmogorov scaling in models of cluster aggregation. Phys. Rev. Lett 94, 194503 (2005)
16. Donnelly, P., Evans, S., Fleischmann, K., Kurtz, T.G., Zhou, X.: Continuum-sites stepping-stone models, coalescing exchangeable partitions, and random trees. Ann. Prob. 28, 1063-1110, (2000)
17. Rogers, L.C.G., Williams, D.: Markov Processes and Martingales Volume 2: Ito Calculus. Cambridge: Cambridge University Press, 1994
18. Xiong, J., Zhou, X.: On the duality between coalescing Brownian motions. Canad. J. Math. 57(1), 204-224 (2005)
19. Fisher, M.E.: Walks, walls, wetting and melting. J. Stat. Phys. 34, 667-729 (1984)