Exact phase diagram for an asymmetric avalanche process - art. no. 084301

Citation
Vb. Priezzhev et al., Exact phase diagram for an asymmetric avalanche process - art. no. 084301, PHYS REV L, 8708(8), 2001, pp. 4301
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
8708
Issue
8
Year of publication
2001
Database
ISI
SICI code
0031-9007(20010820)8708:8<4301:EPDFAA>2.0.ZU;2-I
Abstract
The Bethe ansatz method and an iterative procedure based on detailed balanc e arc used to obtain exact results for an asymmetric avalanche process on a ring. The average velocity of particle flow, upsilon, is derived as a func tion of the toppling probabilities and the density of particles, rho. As rh o increases, the system shows a transition from intermittent to continuous flow, and upsilon diverges at a critical point rho (c) with exponent alpha. The exact phase diagram of the transition is obtained and alpha is found t o depend on the toppling rules.