Abstract
The stochastic system of Schlogl's bimolecular reaction model has only a trivial stationary distribution in very far away from equilibrium and has been considered not to cause nonequilibrium transition. However in the same manner there exist a class of stochastic systems which have only a trivial stationary distribution too in very far away from equilibrium. This has its origin in strong dependency of stationary distribution on both the size of system and the distance from equilibrium. Then it is pointed out that reasonable results are obtained by the joint infinite limit under a relation between the size of system and the distance from equilibrium.
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