The diffusive evaporation-deposition model and the voter model
نویسنده
چکیده
We consider the Takaysu model with desorption. Particles are deposited on the hypercubic lattice Zd. At each site individual particles arrive at rate q. The top-most particle at each non-empty site evaporates at rate p. The particles also diffuse in the manner of coalescing random walks: at rate one, the stack of particles sitting at a site is moved to a randomly chosen neighbor, joining any particles that were there already. The model has a critical point qc(p) above which the density of particles diverges with time. We look at the connection between this model and the voter model, both on Zd and in the mean-field setting. In the mean-field setting we show that points where particles accumulate corresponds to the size of the influence of the corresponding voter.
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