Abstract
We study Schlögl's second model, characterized by chemical reactions
ind-dimensional space. The reactions are assumed to be local; local fluctuations are fully taken into account, and particle transport occurs via diffusion.
In contrast to previous investigations, we find no phase transition whenk 4≠0 andd<4. Fork 4=0,k 3≠0, and 1≦d<4, we find a second-order phase transition which is in the same universality class as the transition in Schlögl's first model. Only ford≧4 we do find the first-order transition found also by previous authors.
These claims are supported by extensive Monte Carlo calculations for various realizations of this process on discrete space-time lattices.
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Address from April 1-September 30, 1982: Chemical Physics Department, Weizmann Institute of Science, Rehovot, Israel
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Grassberger, P. On phase transitions in Schlögl's second model. Z. Physik B - Condensed Matter 47, 365–374 (1982). https://doi.org/10.1007/BF01313803
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DOI: https://doi.org/10.1007/BF01313803