Absorbing boundaries in the conserved Manna model
نویسندگان
چکیده
The conserved Manna model with a planar absorbing boundary is studied in various space dimensions. We present a heuristic argument that allows one to compute the surface critical exponent in one dimension analytically. Moreover, we discuss the mean field limit that is expected to be valid in d > 4 space dimensions and demonstrate how the corresponding partial differential equations can be solved. Submitted to: Journal of Statistical Mechanics: Theory and Experiment PACS numbers: 05.50.+q, 05.70.Ln, 64.60.Ht
منابع مشابه
Fixed-energy sandpiles belong generically to directed percolation.
Fixed-energy sandpiles with stochastic update rules are known to exhibit a nonequilibrium phase transition from an active phase into infinitely many absorbing states. Examples include the conserved Manna model, the conserved lattice gas, and the conserved threshold transfer process. It is believed that the transitions in these models belong to an autonomous universality class of nonequilibrium ...
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