Exact phase diagram for an asymmetric avalanche process.

نویسندگان

  • V B Priezzhev
  • E V Ivashkevich
  • A M Povolotsky
  • C K Hu
چکیده

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.

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عنوان ژورنال:
  • Physical review letters

دوره 87 8  شماره 

صفحات  -

تاریخ انتشار 2001