ホリー・リゲット法に対応する相関不等式の数値的評価

投稿論

Hyperscaling in the Domany-Kinzel Cellular Automaton

An apparent violation of hyperscaling at the endpoint of the critical line in the Domany-Kinzel stochastic cellular automaton finds an elementary resolution upon noting that the order parameter is discontinuous at this point. We derive a hyperscaling relation for such transitions and discuss applications to related examples.Comment: 8 pages, latex, no figure

Percolative treatment of the restricted trimolecular reaction A + 2X ⇋ 3X

We indicate the possibility of existence of a percolation-like transition in the behavior of the trimolecular reaction A + 2X ⇋ 3X on a 2-d square lattice, with the initial concentration p of X particles serving as a control parameter. Using a renormalization group approach, we find that the transition value of p falls into the interval 0 ≤ pc < 0.052.SCOPUS: ar.jinfo:eu-repo/semantics/publishe