刘建民
理论物理通讯. 1984, 3(5): 533-543.
A general discussion on threshold phenomena, namely exponent behaviors of abrupt transitions between steady states near a threshold for a non-equilibrium system satisfying potential condition and having the arbitrary values of z and c, both characteristic parameters of the system, is given. It is shown that the scaling hypothesis in general homogeneous function form holds for threshold phenomena. The expressions of the threshold exponents,β,δ,γ′ and α′of the threshold amplitudes, B, D, Γ′ and A′,and the generalized scaling laws obeyed by them are all obtained. These Iaws reduce to the same as the scaling laws in critical phenomena when z=c=1.The results support, in respect of exponent behaviors of transitions, the statement on the great similarity between the phase transitions in equilibrium systems and the abrupt transitions of steady states in non-equilibrium systems.