title: Exact phase diagram for an asymmetric avalanche process.
abstract: The Bethe ansatz method and an iterative procedure based on detailed balance are used to obtain exact results for an asymmetric avalanche process on a ring. The average velocity of particle flow, v, is derived as a function of the toppling probabilities and the density of particles, rho. As rho increases, the system shows a transition from intermittent to continuous flow, and v diverges at a critical point rho(c) with exponent alpha. The exact phase diagram of the transition is obtained and alpha is found to depend on the toppling rules.
authors.affiliation: Bogoliubov Laboratory of Theoretical Physics, J. I. N. R., Dubna 141980, Russia.
authors.forename: V B
authors.initials: VB
authors.lastname: Priezzhev
authors.forename: E V
authors.initials: EV
authors.lastname: Ivashkevich
authors.forename: A M
authors.initials: AM
authors.lastname: Povolotsky
authors.forename: C K
authors.initials: CK
authors.lastname: Hu