Conserved contact process in one to five dimensions.
We analyze the conserved contact process in hypercubic lattices with dimensions ranging from one to five. In this process particles jump around, falling down only on empty sites beside an existing particle. The model is a version of the ordinary contact process with a strictly conserved particle number and can be seen as the contact process in an ensemble of fixed particle number. By means of numerical simulations we determine the critical point, the critical exponent beta, and the fractal dimension d(F) at the critical point. In the case of just two particles, the stationary state is obtained exactly in any dimension.
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